https://news.fermi.ai/academic-success/hofmann-bromamide-degradation Fermi Newsen 2026-10-24T13:03:52.295Z Hofmann bromamide degradation: losing one carbon to an amine https://news.fermi.ai/academic-success/average-molar-mass-gas-mixture Fermi Newsen 2026-10-24T13:03:45.762Z Average molar mass of a gas mixture: worked air and vapour examples https://news.fermi.ai/academic-success/n-type-p-type-carrier-concentration Fermi Newsen 2026-10-24T13:03:40.178Z n-type and p-type semiconductors: carrier concentration problems https://news.fermi.ai/academic-success/ethanol-ethanoic-acid-class-10 Fermi Newsen 2026-10-24T12:48:13.497Z Ethanol and ethanoic acid: Class 10 properties and reactions https://news.fermi.ai/academic-success/tropic-movements-plants-class-10 Fermi Newsen 2026-10-24T12:48:00.652Z Phototropism, geotropism and other tropic movements in Class 10 https://news.fermi.ai/academic-success/drug-abuse-opioids-cannabinoids Fermi Newsen 2026-10-24T12:47:48.325Z Opioids, cannabinoids and coca alkaloids: NEET's drug-abuse facts https://news.fermi.ai/academic-success/human-skeleton-axial-appendicular Fermi Newsen 2026-10-24T12:47:34.079Z The human skeleton: counting axial and appendicular bones https://news.fermi.ai/academic-success/aestivation-types-flowers Fermi Newsen 2026-10-24T12:47:15.671Z Aestivation in flowers: valvate, twisted, imbricate, vexillary https://news.fermi.ai/academic-success/photorespiration-rubisco Fermi Newsen 2026-10-24T12:47:04.180Z Photorespiration: why RuBisCO wastes energy in C3 plants https://news.fermi.ai/academic-success/circle-through-three-points Fermi Newsen 2026-10-24T12:46:51.057Z Circle through three given points: finding its centre and radius https://news.fermi.ai/academic-success/differentiate-u-with-respect-to-v Fermi Newsen 2026-10-24T12:46:38.132Z Differentiating one expression with respect to another, worked https://news.fermi.ai/academic-success/quadratic-always-positive-condition Fermi Newsen 2026-10-24T12:46:26.264Z When is ax² + bx + c positive for all x? The discriminant test https://news.fermi.ai/academic-success/matrix-powers-pattern Fermi Newsen 2026-10-24T12:46:12.685Z Finding Aⁿ for a matrix by spotting the pattern https://news.fermi.ai/academic-success/homogeneous-differential-equations Fermi Newsen 2026-10-24T12:45:59.187Z Homogeneous differential equations: the y = vx substitution https://news.fermi.ai/academic-success/nitrobenzene-to-aniline-reduction Fermi Newsen 2026-10-24T12:45:47.865Z Reducing nitrobenzene to aniline: Sn/HCl, Fe/HCl and why https://news.fermi.ai/academic-success/carbylamine-test-primary-amines Fermi Newsen 2026-10-24T12:45:30.982Z Carbylamine test: detecting primary amines by the isocyanide smell https://news.fermi.ai/academic-success/neutral-ph-kw-temperature Fermi Newsen 2026-10-24T12:45:19.698Z Neutral pH is not always 7: how Kw changes with temperature https://news.fermi.ai/academic-success/fischer-esterification-mechanism Fermi Newsen 2026-10-24T12:45:07.856Z Fischer esterification: mechanism and how to push the equilibrium https://news.fermi.ai/academic-success/reducing-nonreducing-sugars Fermi Newsen 2026-10-24T12:44:53.530Z Reducing and non-reducing sugars: why sucrose fails Tollens' test https://news.fermi.ai/academic-success/reimer-tiemann-kolbe-phenol Fermi Newsen 2026-10-24T12:44:38.834Z Reimer-Tiemann and Kolbe reactions of phenol, step by step https://news.fermi.ai/academic-success/lewis-acidity-boron-trihalides Fermi Newsen 2026-10-24T12:44:26.585Z Lewis acidity of boron trihalides: back bonding for JEE Main https://news.fermi.ai/academic-success/displacement-pressure-waves-sound Fermi Newsen 2026-10-24T12:44:14.728Z Displacement and pressure waves in sound: the 90° phase shift https://news.fermi.ai/academic-success/prism-i-d-curve-experiment Fermi Newsen 2026-10-24T12:44:03.376Z Deviation vs incidence: the prism i-d graph practical explained https://news.fermi.ai/academic-success/tapered-conductor-resistance Fermi Newsen 2026-10-24T12:43:48.549Z Resistance of a tapered conductor: setting up the integral https://news.fermi.ai/academic-success/manometer-two-immiscible-liquids Fermi Newsen 2026-10-24T12:43:36.093Z Two immiscible liquids in a manometer: finding the unknown density https://news.fermi.ai/academic-success/converting-pv-pt-vt-graphs Fermi Newsen 2026-10-24T12:43:19.015Z Converting PV, PT and VT graphs of ideal gas processes https://news.fermi.ai/academic-success/assembling-point-charges-work Fermi Newsen 2026-10-24T12:43:05.913Z Work to assemble point charges: the pairwise kq₁q₂/r sum https://news.fermi.ai/academic-success/variable-acceleration-function-of-v Fermi Newsen 2026-10-24T12:42:53.717Z Acceleration given as a function of v or x: how to integrate it https://news.fermi.ai/academic-success/concave-mirror-six-positions-class-10 Fermi Newsen 2026-10-24T12:42:41.924Z Concave mirror images for all six object positions, Class 10 https://news.fermi.ai/academic-success/naming-carbon-compounds-class-10 Fermi Newsen 2026-10-24T12:42:29.182Z Naming carbon compounds in Class 10: prefixes, suffixes, examples https://news.fermi.ai/academic-success/stabilising-directional-disruptive Fermi Newsen 2026-10-24T12:42:16.928Z Stabilising, directional and disruptive selection: reading curves https://news.fermi.ai/academic-success/ammonotelic-ureotelic-uricotelic Fermi Newsen 2026-10-24T12:42:00.381Z Ammonotelic, ureotelic and uricotelic animals: why waste differs https://news.fermi.ai/academic-success/algae-classes-compared Fermi Newsen 2026-10-24T12:41:47.431Z Green, brown and red algae: the three algae classes compared https://news.fermi.ai/academic-success/apomixis-polyembryony Fermi Newsen 2026-10-24T12:41:34.916Z Apomixis and polyembryony: seeds without fertilisation https://news.fermi.ai/academic-success/arg-z-principal-value-quadrants Fermi Newsen 2026-10-24T12:41:22.352Z Finding arg z in each quadrant: the principal value rules https://news.fermi.ai/academic-success/second-derivative-relations Fermi Newsen 2026-10-24T12:41:08.693Z Second-order derivatives: proving relations like y″ + y = 0 https://news.fermi.ai/academic-success/complex-equations-z-x-plus-iy Fermi Newsen 2026-10-24T12:40:54.622Z Solving equations in complex numbers by putting z = x + iy https://news.fermi.ai/academic-success/modulus-equations-inequalities Fermi Newsen 2026-10-24T12:40:41.499Z Equations and inequalities with modulus: the case-split method https://news.fermi.ai/academic-success/integral-one-over-a-plus-b-cos Fermi Newsen 2026-10-24T12:40:28.740Z Integrating 1/(a + b cos x) with the tan(x/2) substitution https://news.fermi.ai/academic-success/bromination-of-phenol Fermi Newsen 2026-10-24T12:40:09.443Z Bromination of phenol: why bromine water gives 2,4,6-tribromophenol https://news.fermi.ai/academic-success/irreversible-expansion-work Fermi Newsen 2026-10-24T12:39:54.125Z Work in irreversible expansion: w = −p_ext ΔV, worked https://news.fermi.ai/academic-success/isomers-of-c4h10o Fermi Newsen 2026-10-24T12:39:39.579Z C4H10O isomers: telling the four alcohols and three ethers apart https://news.fermi.ai/academic-success/gabriel-phthalimide-synthesis Fermi Newsen 2026-10-24T12:39:24.607Z Gabriel phthalimide synthesis: why it gives only primary amines https://news.fermi.ai/academic-success/alcohol-dehydration-major-alkene Fermi Newsen 2026-10-24T12:39:06.016Z Dehydration of alcohols: the carbocation route and major alkene https://news.fermi.ai/academic-success/interhalogen-compounds-shapes Fermi Newsen 2026-10-24T12:38:52.446Z Interhalogen compounds: shapes of ClF3, BrF5 and IF7 for JEE https://news.fermi.ai/academic-success/simple-pendulum-string-tension Fermi Newsen 2026-10-24T12:38:39.210Z Simple pendulum string tension at any angle: mg cos θ + mv²/l https://news.fermi.ai/academic-success/metre-scale-mass-principle-moments Fermi Newsen 2026-10-24T12:38:26.829Z Finding the mass of a metre scale with the principle of moments https://news.fermi.ai/academic-success/node-potential-method-circuits Fermi Newsen 2026-10-24T12:38:11.983Z Node potential method: solving circuits by assigning voltages https://news.fermi.ai/academic-success/rod-elongation-own-weight Fermi Newsen 2026-10-24T12:37:58.169Z A rod stretching under its own weight: the WL/2AY result https://news.fermi.ai/academic-success/free-expansion-ideal-gas Fermi Newsen 2026-10-24T12:37:43.931Z Free expansion of an ideal gas: why work and ΔU are both zero https://news.fermi.ai/academic-success/seconds-pendulum-length-changes Fermi Newsen 2026-10-24T12:37:31.296Z Seconds pendulum: how its period changes with length and g https://news.fermi.ai/academic-success/collision-two-projectiles-midair Fermi Newsen 2026-10-24T12:37:18.868Z Will two projectiles collide midair? The relative motion test https://news.fermi.ai/academic-success/glass-slab-ray-tracing-class-10 Fermi Newsen 2026-10-24T12:37:05.076Z Tracing a ray through a glass slab: the Class 10 practical https://news.fermi.ai/academic-success/structural-isomers-butane-class-10 Fermi Newsen 2026-10-24T12:36:51.972Z Structural isomers in Class 10: butane and pentane drawn out https://news.fermi.ai/academic-success/eukaryotic-rna-polymerases Fermi Newsen 2026-10-24T12:36:35.403Z Three RNA polymerases in eukaryotes: what each one makes https://news.fermi.ai/academic-success/arithmetic-geometric-plant-growth Fermi Newsen 2026-10-24T12:36:21.628Z Arithmetic vs geometric growth in plants: the growth equations https://news.fermi.ai/academic-success/viruses-viroids-lichens Fermi Newsen 2026-10-24T12:36:09.678Z Viruses, viroids and lichens: the misfits of five-kingdom biology https://news.fermi.ai/academic-success/megasporogenesis-embryo-sac Fermi Newsen 2026-10-24T12:35:55.275Z Megasporogenesis: how the 7-celled, 8-nucleate embryo sac forms https://news.fermi.ai/academic-success/complex-triangle-inequality Fermi Newsen 2026-10-24T12:35:43.381Z Triangle inequality for complex numbers: max and min of |z| https://news.fermi.ai/academic-success/limits-at-infinity-rational Fermi Newsen 2026-10-24T12:35:31.386Z Limits at infinity of rational functions: compare the degrees https://news.fermi.ai/academic-success/exact-value-sin-18-cos-36 Fermi Newsen 2026-10-24T12:35:15.270Z Exact values of sin 18° and cos 36°, derived step by step https://news.fermi.ai/academic-success/inserting-arithmetic-geometric-means Fermi Newsen 2026-10-24T12:35:01.042Z Inserting arithmetic and geometric means between two numbers https://news.fermi.ai/academic-success/z-z-bar-modulus-squared Fermi Newsen 2026-10-24T12:34:47.157Z Using z z̄ = |z|² to simplify complex number problems https://news.fermi.ai/academic-success/phenol-from-cumene Fermi Newsen 2026-10-24T12:34:27.605Z Phenol from cumene: the industrial route and its acetone by-product https://news.fermi.ai/academic-success/hydroboration-oxidation-alcohols Fermi Newsen 2026-10-24T12:34:12.520Z Hydroboration-oxidation: anti-Markovnikov alcohols from alkenes https://news.fermi.ai/academic-success/percent-ionic-character-dipole Fermi Newsen 2026-10-24T12:33:58.824Z Percentage ionic character from dipole moment: a worked example https://news.fermi.ai/academic-success/carbocation-rearrangement-shifts Fermi Newsen 2026-10-24T12:33:45.554Z Carbocation rearrangements: hydride and methyl shifts explained https://news.fermi.ai/academic-success/hinsberg-reagent-amines Fermi Newsen 2026-10-24T12:33:32.525Z Hinsberg's reagent: separating 1°, 2° and 3° amines https://news.fermi.ai/academic-success/finkelstein-swarts-reactions Fermi Newsen 2026-10-24T12:33:21.021Z Finkelstein and Swarts reactions: making alkyl iodides and fluorides https://news.fermi.ai/academic-success/bond-angle-comparison-nh3-ph3 Fermi Newsen 2026-10-24T12:33:08.788Z Comparing bond angles: NH₃ vs PH₃ and H₂O vs H₂S explained https://news.fermi.ai/academic-success/spool-pulled-by-string Fermi Newsen 2026-10-24T12:32:53.640Z Pulling a spool by its string: which way does it roll? https://news.fermi.ai/academic-success/energy-bands-conductors-insulators Fermi Newsen 2026-10-24T12:32:39.600Z Energy bands: conductors, semiconductors and insulators compared https://news.fermi.ai/academic-success/rna-processing-splicing Fermi Newsen 2026-10-24T12:32:26.632Z RNA processing in eukaryotes: capping, tailing and splicing https://news.fermi.ai/academic-success/sin-inverse-sin-x-beyond-range Fermi Newsen 2026-10-24T12:32:14.205Z sin⁻¹(sin x) beyond [−π/2, π/2]: drawing the sawtooth graph https://news.fermi.ai/academic-success/latus-rectum-length-formulas Fermi Newsen 2026-10-24T12:31:58.982Z Latus rectum lengths: 4a for a parabola, 2b²/a for an ellipse https://news.fermi.ai/academic-success/conditional-identities-a-b-c-pi Fermi Newsen 2026-10-24T12:31:46.385Z Conditional identities when A + B + C = π, worked https://news.fermi.ai/academic-success/a-n-from-s-n-formula Fermi Newsen 2026-10-24T12:31:32.724Z Recovering aₙ from a formula for Sₙ: the subtraction trick https://news.fermi.ai/academic-success/integrals-sqrt-a2-x2-forms Fermi Newsen 2026-10-24T12:31:20.613Z Integrals of √(a² − x²) and √(x² ± a²): the standard results https://news.fermi.ai/academic-success/heterogeneous-equilibria-solids Fermi Newsen 2026-10-24T12:31:09.654Z Heterogeneous equilibria: why solids and pure liquids drop out of K https://news.fermi.ai/academic-success/sandmeyer-gattermann-reactions Fermi Newsen 2026-10-24T12:30:55.885Z Sandmeyer and Gattermann reactions: replacing the diazo group https://news.fermi.ai/academic-success/average-bond-order-resonance Fermi Newsen 2026-10-24T12:30:40.599Z Average bond order from resonance: nitrate, ozone and oxyanions https://news.fermi.ai/academic-success/back-titration-calculations Fermi Newsen 2026-10-24T12:30:29.510Z Back titration: finding purity when direct titration fails https://news.fermi.ai/academic-success/electric-field-energy-density Fermi Newsen 2026-10-24T12:30:13.694Z Energy density in an electric field: u = ε₀E²/2 worked https://news.fermi.ai/academic-success/angle-of-repose-friction Fermi Newsen 2026-10-24T12:30:00.426Z Angle of repose and angle of friction: the tan θ = μ result https://news.fermi.ai/academic-success/stretched-wire-resistance-change Fermi Newsen 2026-10-24T12:29:45.492Z Stretching a wire: how its resistance changes with length https://news.fermi.ai/academic-success/cyclic-process-loop-area Fermi Newsen 2026-10-24T12:29:33.313Z Net work in a cycle: reading the loop on an indicator diagram https://news.fermi.ai/academic-success/horizontal-projectile-from-cliff Fermi Newsen 2026-10-24T12:29:20.827Z Horizontal projectile from a cliff: time, range and impact speed https://news.fermi.ai/academic-success/dispersion-glass-prism-class-10 Fermi Newsen 2026-10-24T12:29:06.685Z Dispersion of white light by a glass prism, explained for Class 10 https://news.fermi.ai/academic-success/extraction-of-metals-class-10 Fermi Newsen 2026-10-24T12:28:52.766Z Extracting metals for Class 10: roasting, calcination and reduction https://news.fermi.ai/academic-success/parturition-lactation-hormones Fermi Newsen 2026-10-24T12:28:39.821Z Parturition and lactation: the hormones behind birth and milk https://news.fermi.ai/academic-success/respiration-amphibolic-pathway Fermi Newsen 2026-10-24T12:28:25.060Z Respiration as an amphibolic pathway: where fats and proteins enter https://news.fermi.ai/academic-success/sewage-treatment-bod Fermi Newsen 2026-10-24T12:28:13.102Z Sewage treatment and BOD: the stages and the numbers behind them https://news.fermi.ai/academic-success/concentric-shells-charge-earthing Fermi Newsen 2026-10-24T12:27:59.145Z Concentric spherical shells: charges, potentials and earthing one https://news.fermi.ai/academic-success/equation-of-trajectory-projectile Fermi Newsen 2026-10-24T12:27:44.172Z Equation of trajectory of a projectile: finding u and θ from it https://news.fermi.ai/academic-success/photons-emitted-per-second Fermi Newsen 2026-10-24T12:27:31.040Z Number of photons emitted per second by a lamp or a laser https://news.fermi.ai/academic-success/pascals-law-hydraulic-machines Fermi Newsen 2026-10-24T12:27:19.566Z Pascal's law in hydraulic machines: lifting a car with a small push https://news.fermi.ai/academic-success/radioactive-series-alpha-beta-count Fermi Newsen 2026-10-24T12:27:06.570Z Counting alpha and beta decays in a radioactive decay series https://news.fermi.ai/academic-success/electron-dot-structures-class-10 Fermi Newsen 2026-10-24T12:26:53.230Z Electron dot structures of covalent molecules in Class 10 https://news.fermi.ai/academic-success/meristems-apical-intercalary-lateral Fermi Newsen 2026-10-24T12:26:37.712Z Meristems: apical, intercalary and lateral, and where each lies https://news.fermi.ai/academic-success/false-fruits-parthenocarpy Fermi Newsen 2026-10-24T12:26:22.389Z False fruits and parthenocarpy: what counts as a true fruit https://news.fermi.ai/academic-success/six-enzyme-classes Fermi Newsen 2026-10-24T12:26:07.161Z The six enzyme classes: oxidoreductases to ligases, with examples https://news.fermi.ai/academic-success/formed-elements-of-blood Fermi Newsen 2026-10-24T12:25:52.558Z Formed elements of blood: RBCs, WBC types and platelets for NEET https://news.fermi.ai/academic-success/quadratic-word-problems-class-10 Fermi Newsen 2026-10-24T12:25:40.899Z Quadratic word problems in Class 10: speed, age and area https://news.fermi.ai/academic-success/soaps-micelles-class-10 Fermi Newsen 2026-10-24T12:25:24.393Z How soaps clean: micelles and hard water in Class 10 carbon https://news.fermi.ai/academic-success/fertilisation-to-implantation Fermi Newsen 2026-10-24T12:25:11.643Z From fertilisation to implantation: the first week of pregnancy https://news.fermi.ai/academic-success/blackman-law-limiting-factors Fermi Newsen 2026-10-24T12:24:59.372Z Limiting factors in photosynthesis: Blackman's law and CO₂ https://news.fermi.ai/academic-success/placentation-types-flowers Fermi Newsen 2026-10-24T12:24:39.478Z Placentation types in flowers: marginal, axile and parietal https://news.fermi.ai/academic-success/test-cross-back-cross Fermi Newsen 2026-10-24T12:24:27.434Z Test cross vs back cross: identifying an unknown genotype https://news.fermi.ai/academic-success/change-origin-scale-mean-variance Fermi Newsen 2026-10-24T12:24:14.860Z How adding to or scaling data changes the mean and variance https://news.fermi.ai/academic-success/ellipse-focal-distances-2a Fermi Newsen 2026-10-24T12:24:02.381Z Focal distances on an ellipse: why PS + PS′ = 2a https://news.fermi.ai/academic-success/roots-by-curve-intersections Fermi Newsen 2026-10-24T12:23:47.407Z How many roots? Counting intersections of two sketched curves https://news.fermi.ai/academic-success/cos-product-telescoping-sine Fermi Newsen 2026-10-24T12:23:36.405Z cos A cos 2A cos 4A products: the doubling sine trick https://news.fermi.ai/academic-success/derivative-parametric-functions Fermi Newsen 2026-10-24T12:23:22.701Z Differentiating parametric functions: dy/dx and d²y/dx² https://news.fermi.ai/academic-success/enthalpy-atomisation-sublimation Fermi Newsen 2026-10-24T12:23:09.383Z Enthalpies of atomisation, sublimation and phase change compared https://news.fermi.ai/academic-success/wurtz-fittig-fittig-reactions Fermi Newsen 2026-10-24T12:22:56.958Z Wurtz-Fittig and Fittig reactions: coupling aryl and alkyl halides https://news.fermi.ai/academic-success/carbonyl-ammonia-derivatives Fermi Newsen 2026-10-24T12:22:45.303Z Carbonyls with ammonia derivatives: oximes, hydrazones, 2,4-DNP https://news.fermi.ai/academic-success/osmotic-pressure-molar-mass Fermi Newsen 2026-10-24T12:22:33.770Z Finding molar mass from osmotic pressure: a worked example https://news.fermi.ai/academic-success/clemmensen-wolff-kishner Fermi Newsen 2026-10-24T12:22:21.177Z Clemmensen vs Wolff-Kishner: reducing a C=O group to CH2 https://news.fermi.ai/academic-success/count-stereoisomers-chiral-centres Fermi Newsen 2026-10-24T12:22:07.225Z Counting stereoisomers from the number of chiral centres https://news.fermi.ai/academic-success/mixing-diluting-solutions-molarity Fermi Newsen 2026-10-24T12:21:52.899Z Mixing and diluting solutions: finding the final molarity https://news.fermi.ai/academic-success/hydrogen-atom-recoil-photon Fermi Newsen 2026-10-24T12:21:38.521Z Recoil of a hydrogen atom when it emits a photon, worked https://news.fermi.ai/academic-success/rotating-plane-mirror-2-theta Fermi Newsen 2026-10-24T12:21:26.933Z Rotating a plane mirror by θ: why the reflected ray turns 2θ https://news.fermi.ai/academic-success/alkyne-hydration-ethanal Fermi Newsen 2026-10-24T12:21:07.889Z Hydration of alkynes: how ethyne gives ethanal and propyne a ketone https://news.fermi.ai/academic-success/electronic-configuration-of-ions Fermi Newsen 2026-10-24T12:20:55.082Z Electron configuration of ions like Fe³⁺ and Cu⁺: which go first https://news.fermi.ai/academic-success/unit-conversion-using-dimensions Fermi Newsen 2026-10-24T12:20:42.142Z Converting a quantity between unit systems using dimensions https://news.fermi.ai/academic-success/photon-energy-1240-over-lambda Fermi Newsen 2026-10-24T12:20:29.413Z E = 1240/λ: the quick photon-energy formula in eV and nm https://news.fermi.ai/academic-success/electric-field-from-potential-gradient Fermi Newsen 2026-10-24T12:20:18.609Z Finding E from V: using E = −dV/dx with graphs and formulas https://news.fermi.ai/academic-success/monkey-climbing-rope-tension Fermi Newsen 2026-10-24T12:20:04.156Z Monkey climbing a rope: tension when it speeds up or slows down https://news.fermi.ai/academic-success/alpha-decay-recoil-energy Fermi Newsen 2026-10-24T12:19:51.688Z Recoil of the daughter nucleus in alpha decay: sharing the energy https://news.fermi.ai/academic-success/gamma-of-gas-mixture Fermi Newsen 2026-10-24T12:19:38.081Z γ of a gas mixture: the weighted Cv method with an example https://news.fermi.ai/academic-success/hvz-reaction-alpha-halogenation Fermi Newsen 2026-10-24T12:19:18.133Z Hell-Volhard-Zelinsky reaction: alpha-halogenation of acids https://news.fermi.ai/academic-success/oxidation-number-from-structure Fermi Newsen 2026-10-24T12:19:05.208Z Oxidation numbers from structure: Fe3O4, S4O6²⁻ and CrO5 https://news.fermi.ai/academic-success/keplers-second-law-areal-velocity Fermi Newsen 2026-10-24T12:18:52.151Z Kepler's second law from angular momentum: areal velocity worked https://news.fermi.ai/academic-success/lens-object-image-4f-minimum Fermi Newsen 2026-10-24T12:18:39.518Z Why a lens's object and real image are at least 4f apart https://news.fermi.ai/academic-success/lens-mirror-separated-system Fermi Newsen 2026-10-24T12:18:26.504Z Lens and mirror set apart: tracing the image through both https://news.fermi.ai/academic-success/phase-difference-path-difference Fermi Newsen 2026-10-24T12:18:14.874Z Phase difference vs path difference: converting with 2π/λ https://news.fermi.ai/academic-success/motion-in-plane-from-r-of-t Fermi Newsen 2026-10-24T12:18:01.741Z Motion in a plane from r(t): velocity and acceleration vectors https://news.fermi.ai/academic-success/explosion-shell-momentum Fermi Newsen 2026-10-24T12:17:47.668Z A shell exploding midair: momentum, fragments and energy https://news.fermi.ai/academic-success/elastic-energy-stretched-wire Fermi Newsen 2026-10-24T12:17:29.642Z Elastic potential energy in a stretched wire, worked through https://news.fermi.ai/academic-success/em-wave-intensity-energy-density Fermi Newsen 2026-10-24T12:17:16.164Z Energy density and intensity of an EM wave, with worked numbers https://news.fermi.ai/great-minds/henry-walter-bates-mimicry Fermi Newsen 2026-10-24T12:17:00.508Z Henry Walter Bates and the butterflies that copy others https://news.fermi.ai/great-minds/gideon-mantell-iguanodon Fermi Newsen 2026-10-24T12:16:48.943Z Gideon Mantell and the teeth that revealed Iguanodon https://news.fermi.ai/great-minds/john-scott-haldane-respiration Fermi Newsen 2026-10-24T12:16:36.623Z J. S. Haldane, carbon monoxide and the animals that warned miners https://news.fermi.ai/great-minds/darcy-thompson-growth-and-form Fermi Newsen 2026-10-24T12:16:23.981Z D'Arcy Thompson and the mathematics of growth and form https://news.fermi.ai/great-minds/annie-maunder-sunspot-cycle Fermi Newsen 2026-10-24T12:16:10.842Z Annie Maunder, sunspot photographs and the butterfly diagram https://news.fermi.ai/great-minds/nicholas-callan-induction-coil Fermi Newsen 2026-10-24T12:15:59.320Z Nicholas Callan and the induction coil that made big sparks https://news.fermi.ai/great-minds/george-johnstone-stoney-electron Fermi Newsen 2026-10-24T12:15:39.294Z George Johnstone Stoney, who named the electron https://news.fermi.ai/great-minds/richard-zsigmondy-ultramicroscope Fermi Newsen 2026-10-24T12:15:22.856Z Richard Zsigmondy and the ultramicroscope that counted gold https://news.fermi.ai/great-minds/josef-loschmidt-molecule-size Fermi Newsen 2026-10-24T12:15:09.661Z Josef Loschmidt and the first estimate of molecule size https://news.fermi.ai/great-minds/victor-hess-cosmic-rays Fermi Newsen 2026-10-24T12:14:57.041Z Victor Hess and the balloon flights that found cosmic rays https://news.fermi.ai/great-minds/anne-lhuillier-attosecond-pulses Fermi Newsen 2026-10-24T12:14:43.589Z Anne L'Huillier and the overtones of light behind attosecond pulses https://news.fermi.ai/great-minds/aziz-sancar-dna-repair Fermi Newsen 2026-10-24T12:14:32.086Z Aziz Sancar and how cells repair damaged DNA https://news.fermi.ai/great-minds/graeme-clark-cochlear-implant Fermi Newsen 2026-10-24T12:14:18.829Z Graeme Clark and the multichannel cochlear implant https://news.fermi.ai/great-minds/sandford-fleming-time-zones Fermi Newsen 2026-10-24T12:14:06.111Z Sandford Fleming and the idea of standard time zones https://news.fermi.ai/great-minds/donna-strickland-chirped-pulse Fermi Newsen 2026-10-24T12:13:45.659Z Donna Strickland and chirped pulse amplification https://news.fermi.ai/great-minds/maria-telkes-solar-house Fermi Newsen 2026-10-24T12:13:33.437Z Maria Telkes and storing the Sun's heat in salts https://news.fermi.ai/great-minds/ruth-patrick-diatoms-pollution Fermi Newsen 2026-10-24T12:13:20.375Z Ruth Patrick and diatoms as indicators of river health https://news.fermi.ai/great-minds/brown-hazen-nystatin Fermi Newsen 2026-10-24T12:13:04.987Z Rachel Brown, Elizabeth Hazen and the discovery of nystatin https://news.fermi.ai/great-minds/margaret-dayhoff-protein-atlas Fermi Newsen 2026-10-24T12:12:52.156Z Margaret Dayhoff and the first protein sequence database https://news.fermi.ai/great-minds/jane-marcet-conversations-chemistry Fermi Newsen 2026-10-24T12:12:39.923Z Jane Marcet and the chemistry book that inspired Faraday https://news.fermi.ai/great-minds/elizabeth-fulhame-catalysis Fermi Newsen 2026-10-24T12:12:27.341Z Elizabeth Fulhame and the first idea of how catalysts work https://news.fermi.ai/great-minds/agnes-pockels-surface-film Fermi Newsen 2026-10-24T12:12:13.442Z Agnes Pockels and the kitchen trough that measured surface films https://news.fermi.ai/great-minds/katharine-blodgett-invisible-glass Fermi Newsen 2026-10-24T12:11:58.926Z Katharine Burr Blodgett and the glass that stopped reflecting https://news.fermi.ai/great-minds/gladys-west-gps-earth-model Fermi Newsen 2026-10-24T12:11:46.616Z Gladys West and the precise Earth model that GPS relies on https://news.fermi.ai/great-minds/hulse-taylor-binary-pulsar Fermi Newsen 2026-10-24T12:11:31.544Z Hulse, Taylor and the binary pulsar that put gravity to the test https://news.fermi.ai/great-minds/jeremiah-horrocks-transit-venus Fermi Newsen 2026-10-24T12:11:19.262Z Jeremiah Horrocks and the first transit of Venus ever observed https://news.fermi.ai/great-minds/george-ellery-hale-sunspot-magnetism Fermi Newsen 2026-10-24T12:11:08.072Z George Ellery Hale and the magnetic fields inside sunspots https://news.fermi.ai/great-minds/richard-carrington-solar-flare Fermi Newsen 2026-10-24T12:10:56.819Z Richard Carrington and the first solar flare ever recorded https://news.fermi.ai/great-minds/eugene-parker-solar-wind Fermi Newsen 2026-10-24T12:10:45.029Z Eugene Parker and the solar wind his reviewers rejected https://news.fermi.ai/great-minds/james-van-allen-radiation-belts Fermi Newsen 2026-10-24T12:10:33.144Z James Van Allen and the radiation belts Explorer 1 found https://news.fermi.ai/academic-success/integral-eax-sin-bx Fermi Newsen 2026-10-24T12:10:20.202Z Integrating eᵃˣ sin bx: the cyclic integration by parts trick https://news.fermi.ai/academic-success/with-without-replacement-probability Fermi Newsen 2026-10-24T12:10:07.259Z With and without replacement: probability problems compared https://news.fermi.ai/academic-success/concurrency-of-three-lines Fermi Newsen 2026-10-24T12:09:54.037Z Condition for three lines to be concurrent, worked https://news.fermi.ai/academic-success/three-set-venn-inclusion-exclusion Fermi Newsen 2026-10-24T12:09:40.831Z Three-set Venn problems: counting with inclusion-exclusion https://news.fermi.ai/academic-success/triple-angle-formulas Fermi Newsen 2026-10-24T12:09:28.420Z Using sin 3x, cos 3x and tan 3x formulas in trigonometry problems https://news.fermi.ai/academic-success/limits-one-power-infinity Fermi Newsen 2026-10-24T12:09:16.778Z Limits of the form 1^∞: the e-power shortcut for JEE https://news.fermi.ai/academic-success/intramolecular-hydrogen-bonding Fermi Newsen 2026-10-24T12:09:03.798Z Intramolecular hydrogen bonding: why o-nitrophenol is volatile https://news.fermi.ai/academic-success/aqueous-vs-alcoholic-koh Fermi Newsen 2026-10-24T12:08:52.683Z Aqueous vs alcoholic KOH with haloalkanes: substitution or elimination https://news.fermi.ai/academic-success/ambident-nucleophiles-cyanide-nitrite Fermi Newsen 2026-10-24T12:08:39.439Z Ambident nucleophiles: KCN vs AgCN and KNO2 vs AgNO2 https://news.fermi.ai/academic-success/integrated-rate-law-graphs Fermi Newsen 2026-10-24T12:08:26.790Z Integrated rate law graphs: reading reaction order from straight lines https://news.fermi.ai/academic-success/selection-at-least-at-most Fermi Newsen 2026-10-24T12:08:07.653Z At least one, at most two: selection problems with combinations https://news.fermi.ai/academic-success/zinc-not-transition-element Fermi Newsen 2026-10-24T12:07:53.076Z Why zinc, cadmium and mercury are not called transition elements https://news.fermi.ai/academic-success/ka-kb-kw-conjugate-pairs Fermi Newsen 2026-10-24T12:07:37.500Z Conjugate acid-base pairs: Ka × Kb = Kw and what it tells you https://news.fermi.ai/academic-success/nucleosides-nucleotides-chemistry Fermi Newsen 2026-10-24T12:07:26.058Z Nucleosides vs nucleotides: the chemistry of DNA and RNA units https://news.fermi.ai/academic-success/oxides-of-nitrogen-structures Fermi Newsen 2026-10-24T12:07:11.980Z Oxides of nitrogen: structures and oxidation states explained https://news.fermi.ai/academic-success/cannizzaro-reaction Fermi Newsen 2026-10-24T12:06:59.585Z Cannizzaro reaction: which aldehydes undergo it and what forms https://news.fermi.ai/academic-success/reaction-quotient-q-vs-k Fermi Newsen 2026-10-24T12:06:46.126Z Reaction quotient Q vs K: predicting which way a reaction moves https://news.fermi.ai/academic-success/minimum-mirror-height-full-image Fermi Newsen 2026-10-24T12:06:34.932Z Minimum mirror height to see your full image: the half-height rule https://news.fermi.ai/academic-success/heat-isobaric-isochoric-cp-cv Fermi Newsen 2026-10-24T12:06:21.321Z Heat in isobaric and isochoric processes: using nCpΔT and nCvΔT https://news.fermi.ai/academic-success/spinning-charged-ring-q-2m Fermi Newsen 2026-10-24T12:06:08.606Z Spinning charged ring or disc: its magnetic moment and q/2m ratio https://news.fermi.ai/academic-success/corrosion-rancidity-class-10 Fermi Newsen 2026-10-24T12:05:53.156Z Corrosion and rancidity: everyday oxidation in Class 10 science https://news.fermi.ai/academic-success/recombinant-insulin-production Fermi Newsen 2026-10-24T12:05:39.133Z Making human insulin by rDNA: joining the A and B chains https://news.fermi.ai/academic-success/artificial-hybridisation-emasculation Fermi Newsen 2026-10-24T12:05:26.282Z Artificial hybridisation: emasculation and bagging explained https://news.fermi.ai/academic-success/primary-secondary-metabolites Fermi Newsen 2026-10-24T12:05:13.828Z Primary and secondary metabolites: examples NEET asks about https://news.fermi.ai/academic-success/mendelian-disorders-sickle-pku Fermi Newsen 2026-10-24T12:04:57.336Z Mendelian disorders: sickle-cell anaemia, thalassemia and PKU https://news.fermi.ai/academic-success/power-set-number-of-subsets Fermi Newsen 2026-10-24T12:04:45.343Z Number of subsets and the power set: counting with 2ⁿ https://news.fermi.ai/academic-success/collinear-points-vectors Fermi Newsen 2026-10-24T12:04:29.106Z Collinear points with vectors: the position vector test https://news.fermi.ai/academic-success/letters-together-bundle-method Fermi Newsen 2026-10-24T12:04:16.616Z Arrangements with letters together: the bundle method https://news.fermi.ai/academic-success/sum-of-numbers-formed-digits Fermi Newsen 2026-10-24T12:04:00.977Z Sum of all numbers formed from given digits: the column trick https://news.fermi.ai/academic-success/section-formula-3d-division Fermi Newsen 2026-10-24T12:03:49.941Z Section formula in 3D: dividing a segment internally and externally https://news.fermi.ai/academic-success/electrolytic-refining-copper-class-10 Fermi Newsen 2026-10-24T12:03:38.966Z Electrolytic refining of copper: anode, cathode and anode mud https://news.fermi.ai/academic-success/dna-into-host-cells-methods Fermi Newsen 2026-10-24T12:03:22.347Z Getting DNA into cells: heat shock, microinjection and gene gun https://news.fermi.ai/academic-success/hormone-action-receptors Fermi Newsen 2026-10-24T12:03:08.966Z How hormones act: membrane receptors vs intracellular receptors https://news.fermi.ai/academic-success/cilia-flagella-9-plus-2 Fermi Newsen 2026-10-24T12:02:53.356Z Cilia and flagella: the 9 + 2 axoneme and the basal body https://news.fermi.ai/academic-success/adh-raas-kidney-regulation Fermi Newsen 2026-10-24T12:02:40.786Z Regulating kidney function: ADH, the RAAS and ANF explained https://news.fermi.ai/academic-success/absolute-extrema-closed-interval Fermi Newsen 2026-10-24T12:02:29.061Z Absolute maximum and minimum on a closed interval: endpoint check https://news.fermi.ai/academic-success/area-with-horizontal-strips Fermi Newsen 2026-10-24T12:02:11.620Z Area using horizontal strips: integrating with respect to y https://news.fermi.ai/academic-success/sum-9-99-999-series Fermi Newsen 2026-10-24T12:02:00.365Z Sums like 9 + 99 + 999 + …: rewriting them with a GP https://news.fermi.ai/academic-success/combined-variance-two-groups Fermi Newsen 2026-10-24T12:01:47.556Z Variance of two combined groups: the combined SD formula https://news.fermi.ai/academic-success/area-triangle-determinant Fermi Newsen 2026-10-24T12:01:36.226Z Area of a triangle using determinants, and the collinearity test https://news.fermi.ai/academic-success/integral-over-n-periods Fermi Newsen 2026-10-24T12:01:24.248Z Integrating over n periods: why ∫ from 0 to nT equals n times one https://news.fermi.ai/academic-success/range-rational-function-discriminant Fermi Newsen 2026-10-24T12:01:09.925Z Range of a rational function using the discriminant method https://news.fermi.ai/academic-success/three-numbers-in-ap-gp Fermi Newsen 2026-10-24T12:00:58.424Z Choosing a − d, a, a + d: three or four numbers in AP or GP https://news.fermi.ai/academic-success/gap-method-arrangements Fermi Newsen 2026-10-24T12:00:45.351Z The gap method: arranging so that no two are together https://news.fermi.ai/academic-success/mean-absolute-deviation-median Fermi Newsen 2026-10-24T12:00:30.846Z Mean absolute deviation about the median, worked for JEE https://news.fermi.ai/academic-success/arrangements-letters-with-repeats Fermi Newsen 2026-10-24T12:00:19.626Z Arranging letters with repeats: the MISSISSIPPI method https://news.fermi.ai/academic-success/cell-constant-conductivity Fermi Newsen 2026-10-24T12:00:07.290Z Cell constant: from measured resistance to conductivity, worked https://news.fermi.ai/academic-success/rf-value-paper-chromatography Fermi Newsen 2026-10-24T11:59:51.724Z Rf value in paper chromatography: calculating and using it https://news.fermi.ai/academic-success/peptide-bond-dipeptide-naming Fermi Newsen 2026-10-24T11:59:38.701Z Peptide bonds: drawing and naming dipeptides like Gly-Ala https://news.fermi.ai/academic-success/contact-process-sulphuric-acid Fermi Newsen 2026-10-24T11:59:25.917Z Contact process for sulphuric acid: steps and conditions for JEE https://news.fermi.ai/great-minds/vesto-slipher-galaxy-redshift Fermi Newsen 2026-10-24T11:59:10.834Z Vesto Slipher and the first redshifts of galaxies https://news.fermi.ai/great-minds/eugene-carolyn-shoemaker-comet Fermi Newsen 2026-10-24T11:58:59.886Z Eugene and Carolyn Shoemaker and the comet that hit Jupiter https://news.fermi.ai/great-minds/ruby-payne-scott-radio-sun Fermi Newsen 2026-10-24T11:58:45.781Z Ruby Payne-Scott and radio bursts from the Sun https://news.fermi.ai/great-minds/nancy-roman-space-telescope Fermi Newsen 2026-10-24T11:58:33.213Z Nancy Grace Roman and the plan for the Hubble Space Telescope https://news.fermi.ai/great-minds/maria-mitchell-comet Fermi Newsen 2026-10-24T11:58:21.793Z Maria Mitchell and the telescopic comet of 1847 https://news.fermi.ai/great-minds/williamina-fleming-white-dwarfs Fermi Newsen 2026-10-24T11:58:10.019Z Williamina Fleming and the first white dwarf https://news.fermi.ai/great-minds/ray-davis-solar-neutrinos Fermi Newsen 2026-10-24T11:57:54.069Z Ray Davis and the missing neutrinos from the Sun https://news.fermi.ai/great-minds/donald-glaser-bubble-chamber Fermi Newsen 2026-10-24T11:57:42.805Z Donald Glaser and the bubble chamber detector https://news.fermi.ai/great-minds/uhlenbeck-goudsmit-electron-spin Fermi Newsen 2026-10-24T11:57:30.983Z Uhlenbeck, Goudsmit and the spin of the electron https://news.fermi.ai/great-minds/denis-papin-steam-digester Fermi Newsen 2026-10-24T11:57:18.333Z Denis Papin and the pressure cooker of the 1600s https://news.fermi.ai/academic-success/charged-pendulum-electric-field Fermi Newsen 2026-10-24T11:57:05.702Z Pendulum in an electric field: effective g for a charged bob https://news.fermi.ai/academic-success/distance-in-nth-second Fermi Newsen 2026-10-24T11:56:54.425Z Distance in the nth second: the sₙ formula and where it helps https://news.fermi.ai/academic-success/string-cut-instant-acceleration Fermi Newsen 2026-10-24T11:56:40.045Z Cutting a string in a spring system: accelerations at that instant https://news.fermi.ai/academic-success/radius-of-gyration-problems Fermi Newsen 2026-10-24T11:56:27.435Z Radius of gyration: what it means and quick Class 11 problems https://news.fermi.ai/academic-success/helical-path-charge-magnetic-field Fermi Newsen 2026-10-24T11:56:15.841Z Helical path of a charge in a magnetic field: radius and pitch https://news.fermi.ai/academic-success/atmospheric-refraction-class-10 Fermi Newsen 2026-10-24T11:56:03.884Z Atmospheric refraction: why stars twinkle and planets don't https://news.fermi.ai/academic-success/transgenic-animals-elisa Fermi Newsen 2026-10-24T11:55:51.481Z Transgenic animals and molecular diagnosis: ELISA and PCR uses https://news.fermi.ai/academic-success/microsporogenesis-pollen-grain Fermi Newsen 2026-10-24T11:55:36.237Z Microsporogenesis and the structure of a pollen grain https://news.fermi.ai/academic-success/chromosome-types-centromere Fermi Newsen 2026-10-24T11:55:23.481Z Chromosome types by centromere position: metacentric to telocentric https://news.fermi.ai/academic-success/chargaff-rule-numericals Fermi Newsen 2026-10-24T11:55:12.158Z Chargaff's rule numericals: strand-by-strand DNA base sums https://news.fermi.ai/great-minds/stefan-hell-super-resolution Fermi Newsen 2026-10-24T11:55:01.087Z Stefan Hell and the microscope that broke the diffraction limit https://news.fermi.ai/great-minds/alois-alzheimer-disease Fermi Newsen 2026-10-24T11:54:45.112Z Alois Alzheimer and the plaques in a patient's brain https://news.fermi.ai/great-minds/gustav-magnus-effect Fermi Newsen 2026-10-24T11:54:33.088Z Gustav Magnus and the physics of a spinning ball's curve https://news.fermi.ai/great-minds/luria-delbruck-fluctuation-test Fermi Newsen 2026-10-24T11:54:20.980Z Luria, Delbrück and the fluctuation test for random mutation https://news.fermi.ai/great-minds/christian-sprengel-pollination Fermi Newsen 2026-10-24T11:54:06.817Z Christian Konrad Sprengel and how flowers recruit insects https://news.fermi.ai/great-minds/clemens-winkler-germanium Fermi Newsen 2026-10-24T11:53:54.704Z Clemens Winkler and the missing 7% that revealed germanium https://news.fermi.ai/great-minds/montgolfier-hot-air-balloon Fermi Newsen 2026-10-24T11:53:43.414Z The Montgolfier brothers and the physics of the first balloons https://news.fermi.ai/great-minds/fabry-buisson-ozone-layer Fermi Newsen 2026-10-24T11:53:32.093Z Fabry, Buisson and the 1913 measurement of the ozone layer https://news.fermi.ai/great-minds/dulong-petit-specific-heat Fermi Newsen 2026-10-24T11:53:21.221Z Dulong, Petit and the law that weighed atoms with heat https://news.fermi.ai/great-minds/jean-perrin-avogadro-number Fermi Newsen 2026-10-24T11:53:09.483Z Jean Perrin and the proof that atoms exist, grain by grain https://news.fermi.ai/academic-success/williamson-ether-synthesis Fermi Newsen 2026-10-24T11:52:55.867Z Williamson ether synthesis: choosing the right halide and alkoxide https://news.fermi.ai/academic-success/bomb-calorimeter-delta-u Fermi Newsen 2026-10-24T11:52:44.305Z Bomb calorimeter: measuring ΔU and converting it to ΔH https://news.fermi.ai/academic-success/self-energy-charged-sphere Fermi Newsen 2026-10-24T11:52:33.251Z Self-energy of a charged sphere: the work to assemble its charge https://news.fermi.ai/academic-success/car-over-hump-normal-force Fermi Newsen 2026-10-24T11:52:21.900Z A car over a hump: normal force and the speed at which it lifts off https://news.fermi.ai/academic-success/charge-crossing-field-boundary Fermi Newsen 2026-10-24T11:52:10.115Z A charge crossing into a B-field region: exit angle and time inside https://news.fermi.ai/academic-success/pendulum-clock-thermal-expansion Fermi Newsen 2026-10-24T11:51:59.121Z Pendulum clock losing time in summer: thermal expansion of the rod https://news.fermi.ai/academic-success/torque-r-cross-f-vectors Fermi Newsen 2026-10-24T11:51:44.963Z Torque as r × F: finding torque about a point with vectors https://news.fermi.ai/academic-success/dielectric-slab-battery-connected Fermi Newsen 2026-10-24T11:51:31.070Z Inserting a dielectric slab: battery connected vs disconnected https://news.fermi.ai/academic-success/contact-force-blocks-pushed-together Fermi Newsen 2026-10-24T11:51:19.551Z Contact force between blocks pushed together on a smooth floor https://news.fermi.ai/academic-success/infinite-ladder-resistor-network Fermi Newsen 2026-10-24T11:51:08.104Z Infinite ladder of resistors: the self-similarity trick explained https://news.fermi.ai/academic-success/odds-in-favour-against Fermi Newsen 2026-10-24T11:50:53.228Z Odds in favour and odds against: converting them to probability https://news.fermi.ai/academic-success/temperature-coefficient-reaction-rate Fermi Newsen 2026-10-24T11:50:41.810Z Temperature coefficient of rate: why rates double every 10 °C https://news.fermi.ai/academic-success/free-radical-chlorination-methane Fermi Newsen 2026-10-24T11:50:28.587Z Free radical chlorination of methane: initiation to termination https://news.fermi.ai/academic-success/allylic-benzylic-halides-sn1 Fermi Newsen 2026-10-24T11:50:16.919Z Why allylic and benzylic halides react fast by the SN1 route https://news.fermi.ai/academic-success/cell-emf-to-gibbs-energy-k Fermi Newsen 2026-10-24T11:50:02.923Z From cell EMF to ΔG° and K: using −nFE° = −RT ln K https://news.fermi.ai/academic-success/iodoform-test-compounds Fermi Newsen 2026-10-24T11:49:50.368Z Iodoform test: spotting which compounds give the yellow solid https://news.fermi.ai/academic-success/ph-of-very-dilute-acid Fermi Newsen 2026-10-24T11:49:36.104Z pH of 10⁻⁸ M HCl: why water's H⁺ cannot be ignored https://news.fermi.ai/academic-success/projectile-radius-of-curvature Fermi Newsen 2026-10-24T11:49:24.313Z Radius of curvature of a projectile's path at the top and launch https://news.fermi.ai/academic-success/circulating-e-field-solenoid Fermi Newsen 2026-10-24T11:49:10.547Z Faraday's law for a changing B: the circulating E inside a solenoid https://news.fermi.ai/academic-success/refraction-through-glass-sphere Fermi Newsen 2026-10-24T11:48:57.177Z Refraction through a glass sphere: imaging with two surfaces https://news.fermi.ai/academic-success/removable-jump-discontinuity Fermi Newsen 2026-10-24T11:48:45.839Z Removable and jump discontinuities: telling them apart https://news.fermi.ai/academic-success/u-substitution-new-bounds Fermi Newsen 2026-10-24T11:48:29.752Z u-substitution with bounds: change the end points, skip going back https://news.fermi.ai/academic-success/symmetric-functions-of-roots Fermi Newsen 2026-10-24T11:48:17.620Z Symmetric functions of roots: α² + β², α³ + β³ without solving https://news.fermi.ai/academic-success/binomial-coefficient-sums Fermi Newsen 2026-10-24T11:48:06.611Z Sums of binomial coefficients: C₀ + C₁ + … and alternating sums https://news.fermi.ai/academic-success/growth-decay-differential-equations Fermi Newsen 2026-10-24T11:47:54.143Z Population growth and cooling: exponential models via dy/dt = ky https://news.fermi.ai/academic-success/shared-root-two-quadratics Fermi Newsen 2026-10-24T11:47:42.185Z When two quadratics share a root: the condition and its use https://news.fermi.ai/academic-success/werner-complexes-ionisable-chlorides Fermi Newsen 2026-10-24T11:47:25.847Z Counting ionisable chlorides in complexes with AgNO3 and conductivity https://news.fermi.ai/academic-success/pcl5-dissociation-vapour-density Fermi Newsen 2026-10-24T11:47:12.790Z Degree of dissociation of PCl5 from vapour density, worked https://news.fermi.ai/academic-success/rosenmund-stephen-etard Fermi Newsen 2026-10-24T11:46:58.982Z Rosenmund, Stephen and Etard reactions: three routes to aldehydes https://news.fermi.ai/academic-success/electrode-potentials-3d-metals Fermi Newsen 2026-10-24T11:46:47.822Z E° values of 3d metals: why copper is positive and Mn²⁺ is stable https://news.fermi.ai/academic-success/ice-forming-on-pond-time Fermi Newsen 2026-10-24T11:46:34.410Z Time for ice to form on a pond: conduction with growing thickness https://news.fermi.ai/academic-success/photodiode-led-solar-cell-jee Fermi Newsen 2026-10-24T11:46:21.731Z Photodiode, LED and solar cell I-V curves for JEE Main https://news.fermi.ai/academic-success/field-nonuniform-charged-sphere Fermi Newsen 2026-10-24T11:46:08.106Z Gauss's law for a sphere with non-uniform charge density https://news.fermi.ai/academic-success/minimum-pull-force-angle-friction Fermi Newsen 2026-10-24T11:45:57.473Z Minimum force to drag a block on a rough floor: the best angle https://news.fermi.ai/academic-success/spherical-cylindrical-capacitor Fermi Newsen 2026-10-24T11:45:46.182Z Capacitance of spherical and cylindrical capacitors, derived https://news.fermi.ai/academic-success/biological-magnification-class-10 Fermi Newsen 2026-10-24T11:45:35.105Z Biological magnification: how pesticides build up, Class 10 https://news.fermi.ai/academic-success/hiv-replication-helper-t-cells Fermi Newsen 2026-10-24T11:45:20.542Z How HIV replicates: reverse transcription and helper T cell loss https://news.fermi.ai/academic-success/brain-parts-functions Fermi Newsen 2026-10-24T11:45:08.807Z Parts of the human brain: forebrain, midbrain and hindbrain roles https://news.fermi.ai/academic-success/stem-modifications-examples Fermi Newsen 2026-10-24T11:44:57.184Z Stem modifications: tendrils, thorns, rhizomes and more https://news.fermi.ai/academic-success/respiratory-quotient-rq Fermi Newsen 2026-10-24T11:44:41.899Z Respiratory quotient: why RQ is 1, 0.7 or 0.9 for different fuels https://news.fermi.ai/academic-success/tollens-fehling-tests Fermi Newsen 2026-10-24T11:44:30.416Z Tollens' and Fehling's tests: which carbonyl compounds pass them https://news.fermi.ai/academic-success/inert-gas-addition-equilibrium Fermi Newsen 2026-10-24T11:44:18.514Z Adding an inert gas to an equilibrium: constant V vs constant P https://news.fermi.ai/academic-success/dipole-non-uniform-field-force Fermi Newsen 2026-10-24T11:44:03.556Z A dipole in a non-uniform field: the net force and its direction https://news.fermi.ai/academic-success/zero-potential-points-two-charges Fermi Newsen 2026-10-24T11:43:53.195Z Where is potential zero near two charges? Finding the points https://news.fermi.ai/academic-success/inductor-switch-t0-tinfinity Fermi Newsen 2026-10-24T11:43:40.103Z Inductors at t = 0 and t = ∞: quick rules for switch problems https://news.fermi.ai/academic-success/shm-tunnel-through-earth Fermi Newsen 2026-10-24T11:43:28.469Z SHM through a tunnel across the Earth: period and speed at centre https://news.fermi.ai/academic-success/light-entering-glass-wavelength Fermi Newsen 2026-10-24T11:43:13.784Z Light entering glass: what happens to speed, wavelength, frequency https://news.fermi.ai/academic-success/block-sliding-incline-time Fermi Newsen 2026-10-24T11:43:02.850Z Time for a block to slide down a rough incline: worked example https://news.fermi.ai/academic-success/oblique-collision-equal-masses Fermi Newsen 2026-10-24T11:42:47.527Z Oblique elastic collision of equal masses: why paths are at 90° https://news.fermi.ai/academic-success/potential-uniformly-charged-solid-sphere Fermi Newsen 2026-10-24T11:42:33.055Z Potential at the centre of a uniformly charged solid sphere: 3kQ/2R https://news.fermi.ai/great-minds/walther-meissner-effect Fermi Newsen 2026-10-24T11:42:19.822Z Walther Meissner and superconductors expelling fields https://news.fermi.ai/great-minds/ali-javan-helium-neon-laser Fermi Newsen 2026-10-24T11:42:07.327Z Ali Javan and the helium-neon gas laser of 1960 https://news.fermi.ai/great-minds/john-dollond-achromatic-lens Fermi Newsen 2026-10-24T11:41:53.457Z John Dollond and the lens without colour fringes https://news.fermi.ai/great-minds/francesco-grimaldi-diffraction Fermi Newsen 2026-10-24T11:41:41.302Z Francesco Grimaldi and the discovery of diffraction https://news.fermi.ai/great-minds/david-brewster-polarisation-angle Fermi Newsen 2026-10-24T11:41:27.934Z David Brewster and the angle of perfect polarisation https://news.fermi.ai/great-minds/tommy-flowers-colossus Fermi Newsen 2026-10-24T11:41:15.918Z Tommy Flowers and Colossus, the codebreaking computer https://news.fermi.ai/great-minds/edward-appleton-ionosphere Fermi Newsen 2026-10-24T11:41:03.205Z Edward Appleton and the layers of the ionosphere https://news.fermi.ai/great-minds/edward-mellanby-rickets Fermi Newsen 2026-10-24T11:40:50.687Z Edward Mellanby and the puppy diets that explained rickets https://news.fermi.ai/great-minds/sydney-brenner-messenger-rna Fermi Newsen 2026-10-24T11:40:37.944Z Sydney Brenner and the 1960 experiment that caught messenger RNA https://news.fermi.ai/great-minds/john-ray-species-concept Fermi Newsen 2026-10-24T11:40:25.505Z John Ray's seed test: an early definition of species https://news.fermi.ai/great-minds/sipra-guha-mukherjee-anther-culture Fermi Newsen 2026-10-24T11:40:12.446Z Sipra Guha-Mukherjee and the Datura pollen that grew into embryos https://news.fermi.ai/great-minds/lalji-singh-dna-fingerprinting-india Fermi Newsen 2026-10-24T11:40:00.510Z Lalji Singh: from snake chromosomes to DNA evidence in Indian courts https://news.fermi.ai/great-minds/c-gopalan-nutrition-science Fermi Newsen 2026-10-24T11:39:49.041Z C. Gopalan and the science of nutrition for Indian diets https://news.fermi.ai/great-minds/k-venkataraman-synthetic-dyes Fermi Newsen 2026-10-24T11:39:36.387Z K. Venkataraman: synthetic dyes and a reaction that bears his name https://news.fermi.ai/great-minds/salimuzzaman-siddiqui-rauwolfia Fermi Newsen 2026-10-24T11:39:23.446Z Salimuzzaman Siddiqui and the alkaloids of the Rauwolfia root https://news.fermi.ai/great-minds/dd-kosambi-mapping-function Fermi Newsen 2026-10-24T11:39:09.585Z D. D. Kosambi and the formula that turns recombination into distance https://news.fermi.ai/great-minds/ss-pillai-warings-problem Fermi Newsen 2026-10-24T11:38:56.235Z S. S. Pillai and Waring's problem: why sixth powers need 73 https://news.fermi.ai/great-minds/hemachandra-number-sequence Fermi Newsen 2026-10-24T11:38:44.608Z Hemachandra's rules for counting the rhythms of Prakrit verse https://news.fermi.ai/great-minds/parameshvara-drigganita-eclipses Fermi Newsen 2026-10-24T11:38:32.147Z Parameshvara and the eclipse records that corrected Kerala's tables https://news.fermi.ai/great-minds/jyesthadeva-yuktibhasa-proofs Fermi Newsen 2026-10-24T11:38:20.830Z Jyesthadeva's Yuktibhasa: the proofs behind Kerala's series https://news.fermi.ai/great-minds/gerardus-mercator-map-projection Fermi Newsen 2026-10-24T11:38:06.780Z Gerardus Mercator and the map that keeps a ship's bearing straight https://news.fermi.ai/great-minds/otto-wichterle-contact-lens Fermi Newsen 2026-10-24T11:37:52.729Z Otto Wichterle and the soft contact lens spun from a gel https://news.fermi.ai/great-minds/vladimir-vernadsky-biosphere Fermi Newsen 2026-10-24T11:37:37.111Z Vladimir Vernadsky and the biosphere: life as a geological force https://news.fermi.ai/great-minds/pavel-cherenkov-radiation Fermi Newsen 2026-10-24T11:37:21.825Z Pavel Cherenkov and the blue glow of particles outrunning light https://news.fermi.ai/great-minds/mikhail-lomonosov-conservation-mass Fermi Newsen 2026-10-24T11:37:09.733Z Mikhail Lomonosov and the sealed-flask test of conserved mass https://news.fermi.ai/great-minds/cesar-lattes-pion Fermi Newsen 2026-10-24T11:36:56.607Z Cesar Lattes, borax plates and the discovery of the pi meson https://news.fermi.ai/great-minds/carlos-chagas-disease Fermi Newsen 2026-10-24T11:36:43.141Z Carlos Chagas: a new parasite, its insect carrier and its disease https://news.fermi.ai/great-minds/jang-yeong-sil-rain-gauge Fermi Newsen 2026-10-24T11:36:29.020Z Jang Yeong-sil, Joseon's water clock and the 1441 rain gauge https://news.fermi.ai/great-minds/takaaki-kajita-neutrino-oscillation Fermi Newsen 2026-10-24T11:36:13.490Z Takaaki Kajita and the neutrinos that change flavour in flight https://news.fermi.ai/great-minds/satoshi-omura-avermectin Fermi Newsen 2026-10-24T11:36:01.043Z Satoshi Omura and avermectin, a drug found in a soil sample https://news.fermi.ai/great-minds/martin-synge-partition-chromatography Fermi Newsen 2026-10-24T11:35:46.329Z Martin, Synge and partition chromatography https://news.fermi.ai/great-minds/georg-von-hevesy-radioactive-tracers Fermi Newsen 2026-10-24T11:35:33.146Z George de Hevesy and radioactive tracers in living things https://news.fermi.ai/great-minds/justus-von-liebig-law-of-minimum Fermi Newsen 2026-10-24T11:35:21.377Z Justus von Liebig and the law of the minimum for crops https://news.fermi.ai/great-minds/frederick-gowland-hopkins-tryptophan Fermi Newsen 2026-10-24T11:35:09.089Z Frederick Gowland Hopkins and accessory food factors https://news.fermi.ai/great-minds/casimir-funk-vitamines Fermi Newsen 2026-10-24T11:34:53.432Z Casimir Funk and the idea of vital amines, or vitamins https://news.fermi.ai/great-minds/albert-szent-gyorgyi-vitamin-c Fermi Newsen 2026-10-24T11:34:40.080Z Albert Szent-Gyorgyi and the isolation of vitamin C https://news.fermi.ai/great-minds/walter-haworth-sugar-rings Fermi Newsen 2026-10-24T11:34:27.756Z Walter Haworth and the ring structures of sugars https://news.fermi.ai/great-minds/alexander-borodin-aldol-reaction Fermi Newsen 2026-10-24T11:34:13.757Z Alexander Borodin, the composer chemist and the aldol reaction https://news.fermi.ai/great-minds/wilhelm-pfeffer-osmotic-pressure Fermi Newsen 2026-10-24T11:34:02.763Z Wilhelm Pfeffer and the first measurement of osmotic pressure https://news.fermi.ai/great-minds/lothar-meyer-atomic-volume-curve Fermi Newsen 2026-10-24T11:33:48.250Z Lothar Meyer and the atomic volume curve of the elements https://news.fermi.ai/great-minds/okazaki-fragments-dna-replication Fermi Newsen 2026-10-24T11:33:35.456Z Reiji and Tsuneko Okazaki and the fragments of DNA replication https://news.fermi.ai/great-minds/jacques-miller-thymus-t-cells Fermi Newsen 2026-10-24T11:33:22.204Z Jacques Miller and the role of the thymus in immunity https://news.fermi.ai/great-minds/shibasaburo-kitasato-tetanus Fermi Newsen 2026-10-24T11:33:09.565Z Shibasaburo Kitasato and the pure tetanus culture https://news.fermi.ai/great-minds/stanley-prusiner-prions Fermi Newsen 2026-10-24T11:32:57.285Z Stanley Prusiner and prions, infectious proteins https://news.fermi.ai/great-minds/wilhelm-hofmeister-alternation-generations Fermi Newsen 2026-10-24T11:32:41.752Z Wilhelm Hofmeister and alternation of generations in plants https://news.fermi.ai/great-minds/sergei-nawaschin-double-fertilisation Fermi Newsen 2026-10-24T11:32:29.057Z Sergei Nawaschin and the two sperm cells of the lily https://news.fermi.ai/great-minds/george-palade-ribosomes-secretion Fermi Newsen 2026-10-24T11:32:17.664Z George Palade and the ribosomes in the cell's protein factory https://news.fermi.ai/great-minds/francesco-redi-maggots-experiment Fermi Newsen 2026-10-24T11:32:04.258Z Francesco Redi and the covered jars of rotting meat https://news.fermi.ai/great-minds/alexander-oparin-primordial-soup Fermi Newsen 2026-10-24T11:31:46.753Z Alexander Oparin and the primordial soup theory of life https://news.fermi.ai/great-minds/theodosius-dobzhansky-evolutionary-synthesis Fermi Newsen 2026-10-24T11:31:28.212Z Theodosius Dobzhansky and evolution seen through genetics https://news.fermi.ai/great-minds/baudhayana-sulba-sutra-diagonal Fermi Newsen 2026-10-24T11:31:14.797Z Baudhayana and the rule of the diagonal in the Sulba Sutras https://news.fermi.ai/great-minds/amal-raychaudhuri-equation Fermi Newsen 2026-10-24T11:31:00.123Z Amal Raychaudhuri and the equation of focusing gravity https://news.fermi.ai/great-minds/narinder-kapany-fibre-optics Fermi Newsen 2026-10-24T11:30:48.324Z Narinder Singh Kapany and images carried through glass fibres https://news.fermi.ai/great-minds/ernst-abbe-microscope-resolution Fermi Newsen 2026-10-24T11:30:36.051Z Ernst Abbe and the numerical aperture of the microscope https://news.fermi.ai/great-minds/thomas-andrews-critical-temperature Fermi Newsen 2026-10-24T11:30:24.064Z Thomas Andrews and the critical temperature of carbon dioxide https://news.fermi.ai/great-minds/charles-barkla-characteristic-x-rays Fermi Newsen 2026-10-24T11:30:09.227Z Charles Barkla and the characteristic X-rays of elements https://news.fermi.ai/great-minds/max-von-laue-crystal-diffraction Fermi Newsen 2026-10-24T11:29:53.824Z Max von Laue and X-rays diffracted by crystals https://news.fermi.ai/great-minds/jean-peltier-cooling-effect Fermi Newsen 2026-10-24T11:29:37.966Z Jean Peltier and cooling at a junction of two metals https://news.fermi.ai/great-minds/thomas-seebeck-thermoelectric-effect Fermi Newsen 2026-10-24T11:29:24.811Z Thomas Seebeck and electricity from a temperature gap https://news.fermi.ai/great-minds/joseph-fraunhofer-dark-lines Fermi Newsen 2026-10-24T11:29:12.668Z Joseph von Fraunhofer and the dark lines in sunlight https://news.fermi.ai/great-minds/yoshinori-ohsumi-autophagy Fermi Newsen 2026-10-24T11:29:00.447Z Yoshinori Ohsumi and how cells recycle themselves https://news.fermi.ai/great-minds/kikunae-ikeda-umami Fermi Newsen 2026-10-24T11:28:47.902Z Kikunae Ikeda and the discovery of umami taste https://news.fermi.ai/great-minds/jokichi-takamine-adrenaline Fermi Newsen 2026-10-24T11:28:34.718Z Jokichi Takamine and the isolation of adrenaline https://news.fermi.ai/great-minds/hantaro-nagaoka-saturnian-atom Fermi Newsen 2026-10-24T11:28:21.438Z Hantaro Nagaoka and the Saturnian model of the atom https://news.fermi.ai/great-minds/li-shizhen-materia-medica Fermi Newsen 2026-10-24T11:28:10.290Z Li Shizhen and the great compendium of medicinal substances https://news.fermi.ai/great-minds/su-song-astronomical-clock Fermi Newsen 2026-10-24T11:27:58.512Z Su Song and the water-driven astronomical clock tower https://news.fermi.ai/great-minds/al-jazari-machines Fermi Newsen 2026-10-24T11:27:44.223Z Al-Jazari and the book of ingenious mechanical devices https://news.fermi.ai/great-minds/al-zahrawi-surgical-instruments Fermi Newsen 2026-10-24T11:27:30.090Z Al-Zahrawi and the surgical instruments of Al-Tasrif https://news.fermi.ai/great-minds/ibn-al-nafis-pulmonary-circulation Fermi Newsen 2026-10-24T11:27:16.095Z Ibn al-Nafis and the flow of blood through the lungs https://news.fermi.ai/great-minds/hertha-ayrton-electric-arc Fermi Newsen 2026-10-24T11:27:02.575Z Hertha Ayrton and the physics of the electric arc https://news.fermi.ai/great-minds/john-conway-game-of-life Fermi Newsen 2026-10-24T11:26:51.364Z John Conway and the Game of Life on a grid https://news.fermi.ai/great-minds/grigori-perelman-poincare-conjecture Fermi Newsen 2026-10-24T11:26:39.695Z Grigori Perelman and the proof of the Poincaré conjecture https://news.fermi.ai/great-minds/paul-erdos-collaborative-maths Fermi Newsen 2026-10-24T11:26:26.341Z Paul Erdős and the problems that linked mathematicians