JEECUP Group E1 (PCM) – 100 MCQs Mock Test

JEECUP Group E1 (PCM) – 100 MCQs

Physics | Chemistry | Mathematics – Online Practice Test

| S.No. | Subject | Question | Option A | Option B | Option C | Option D | Correct Answer |
| — | — | — | — | — | — | — | — |
| **1** | Physics | Ek car R radius ke circular path par v speed se chal rahi hai. Agar iski speed dugni kar di jaye, to centripetal acceleration par kya asar padega? | Dugna ho jayega | Aadha ho jayega | Char guna ho jayega | Koyi badlav nahi | **C** |
| **2** | Physics | Ideal gas ke liye adiabatic process (raddhoosham prakram) mein pressure (P) aur volume (V) ka sambandh kya hota hai? | PV = Constant | PVγ = Constant | PγV = Constant | P/V = Constant | **B** |
| **3** | Physics | Agar kisi wire ki length ko kheenchkar dugna (double) kar diya jaye, to uske Resistance (pratirodh) par kya asar padega? | 2 guna | 4 guna | Aadha | 8 guna | **B** |
| **4** | Physics | Laser light kis prakriya (phenomenon) par aadharit hoti hai? | Spontaneous emission | Stimulated emission | Scattering | Total Internal Reflection | **B** |
| **5** | Physics | Escape velocity (palayan veg) ka maan prithvi ki satah par lagbhag kitna hota hai? | 9.8 km/s | 11.2 km/s | 7.9 km/s | 15.4 km/s | **B** |
| **6** | Physics | Ek transformer kis siddhant (principle) par kaam karta hai? | Self Induction | Mutual Induction | Joule’s Heating | Eddy Currents | **B** |
| **7** | Physics | Optic fibre cable mein light ka transmission kis vajah se hota hai? | Refraction | Diffraction | Total Internal Reflection | Scattering | **C** |
| **8** | Physics | Koshika nali (Capillary tube) mein pani ke upar chadhne ka mukhya karan kya hai? | Viscosity | Surface Tension | Density | Osmosis | **B** |
| **9** | Physics | Sound waves kis prakar ki tarangein (waves) hoti hain? | Electromagnetic | Longitudinal Mechanical | Transverse Mechanical | Non-mechanical | **B** |
| **10** | Physics | Photoelectric effect mein, utsarjit electrons ki maximum kinetic energy kis par depend karti hai? | Intensity of light | Frequency of light | Velocity of light | Time of exposure | **B** |
| **11** | Physics | Kisi semiconductor (ardhachalak) ka temperature badhane par uski conductivity (chalakta) par kya asar padta hai? | Kam hoti hai | Badhti hai | Same rehti hai | Pehle badhti hai fir ghatti hai | **B** |
| **12** | Physics | Carnot engine ki efficiency 100% kab ho sakti hai? | Sink ka temp 0°C ho | Sink ka temp 0 K ho | Source ka temp 100°C ho | Source ka temp 0 K ho | **B** |
| **13** | Physics | Ek particle simple harmonic motion (SHM) kar raha hai. Mean position par iski kinetic energy kya hogi? | Zero | Maximum | Minimum | Infinite | **B** |
| **14** | Physics | Rocket propulsion kis conservation law par aadharit hai? | Conservation of Energy | Linear Momentum | Angular Momentum | Conservation of Mass | **B** |
| **15** | Physics | Lens ki power ki SI unit kya hoti hai? | Watt | Joule | Dioptre | Candela | **C** |
| **16** | Physics | Bohr ke parmanu model ke anusar, electron ka angular momentum kya hota hai? | nh / 2π | h / 2πn | n²h / 2π | 2π / nh | **A** |
| **17** | Physics | Soap bubble (sabun ke bulbule) ke andar ka excess pressure kitna hota hai? | T / R | 2T / R | 4T / R | 8T / R | **C** |
| **18** | Physics | Electromagnetic waves mein electric field aur magnetic field ke beech phase difference kitna hota hai? | Zero | π/2 | π | π/4 | **A** |
| **19** | Physics | Prithvi ke center par kisi vastu ka bhar (weight) kitna hoga? | Infinite | Same as surface | Zero | 9.8 times | **C** |
| **20** | Physics | Bernoulli’s theorem kis ke conservation par aadharit hai? | Mass | Momentum | Energy | Angular momentum | **C** |
| **21** | Physics | Superconductors ki magnetic susceptibility (chumbakiya pravritti) kitna hoti hai? | +1 | Zero | -1 | Infinite | **C** |
| **22** | Physics | Koshika nali mein yadi drav ka meniscus concave (avatal) hai, to angle of contact kitna hoga? | Acute angle (<90°) | Obtuse angle (>90°) | 90° | 0° | **A** |
| **23** | Physics | Polariod ka upyog kisliye kiya jata hai? | Light ki speed badhane | Light ko polarize karne | Intensity badhane | Refraction ke liye | **B** |
| **24** | Physics | Ek ideal voltmeter ka resistance kitna hona chahiye? | Zero | Bahut kam | Infinite | 100 Ohm | **C** |
| **25** | Physics | Radioactivity ki khoj kisne ki ye? | Madam Curie | Henri Becquerel | Rutherford | J.J. Thomson | **B** |
| **26** | Physics | Fusion reaction (nabhikiya sanlayan) ke liye zaroori temperature kitna hota hai? | ~10² K | ~10³ K | ~10⁷ K | ~10⁴ K | **C** |
| **27** | Physics | Peltier effect kis ka reverse effect hai? | Seebeck effect | Thomson effect | Joule effect | Faraday effect | **A** |
| **28** | Physics | Dopler effect kis se sambandhit hai? | Light | Sound | Dono A aur B | Keval Electricity | **C** |
| **29** | Physics | Prithvi ke magnetic poles par dip angle (nati kon) kitna hota hai? | 0° | 45° | 90° | 180° | **C** |
| **30** | Physics | Viscosity (shyanata) ki CGS unit kya hoti hai? | Poise | Pascal | Newton | Stoke | **A** |
| **31** | Physics | X-rays kis prakar ki tarangein hain? | Longitudinal | Transverse | Electromagnetic | Elastic | **C** |
| **32** | Physics | Kisi rotating body ka angular momentum kis ke barabar hota hai? | Mass × Velocity | Moment of Inertia × Angular Velocity | Torque × Time | Force × Radius | **B** |
| **33** | Physics | Chumbakiya flux (Magnetic Flux) ki SI unit kya hai? | Tesla | Gauss | Weber | Maxwell | **C** |
| **34** | Chemistry | Kis quantum number se electron ke orbital ki shape (aakar) tay hoti hai? | Principal (n) | Azimuthal (l) | Magnetic (m) | Spin (s) | **B** |
| **35** | Chemistry | Periodic table mein left se right jaane par Electronegativity par kya asar padta hai? | Ghatti hai | Badhti hai | Same rehti hai | Pehle badhti hai fir ghatti hai | **B** |
| **36** | Chemistry | Conjugate acid-base pair mein kitne protons (H+) ka antar hota hai? | Ek | Do | Teen | Koyi nahi | **A** |
| **37** | Chemistry | Rusting of iron (lohe mein zang lagna) kis prakar ki reaction hai? | Reduction | Redox reaction | Sublimation | Esterification | **B** |
| **38** | Chemistry | Nylon-6,6 banane ke liye kin monomers ka upyog kiya jata hai? | Adipic acid & Hexamethylene diamine | Styrene | Ethylene glycol | Vinyl chloride | **A** |
| **39** | Chemistry | Kis gas ki diffusivity (visaran dar) sabse zyada hogi? | CO2 | O2 | H2 | N2 | **C** |
| **40** | Chemistry | Markovnikov ka niyam kis par lagoo hota hai? | Symmetrical Alkenes | Unsymmetrical Alkenes | Alkanes | Alkyne | **B** |
| **41** | Chemistry | Rasayan vigyan mein ‘Aqua Regia’ (Amla-raj) kin do acids ka mixture hai? | HCl + HNO3 | HCl + H2SO4 | HNO3 + H2SO4 | CH3COOH + HCl | **A** |
| **42** | Chemistry | Coordination compounds mein EDTA kis prakar ka ligand hai? | Bidentate | Tetradentate | Hexadentate | Monodentate | **C** |
| **43** | Chemistry | Fehling solution ka upyog kis functional group ki pehchan ke liye hota hai? | Ketone | Alcohol | Aldehyde | Carboxylic Acid | **C** |
| **44** | Chemistry | IF7 molecule ki geometry (jyamiti) kaisi hoti hai? | Octahedral | Pentagonal Bipyramidal | Tetrahedral | Trigonal Bipyramidal | **B** |
| **45** | Chemistry | Hard water mein jhag (foam) na banne ka mukhya karan kin ions ki maujoodgi hai? | Na+ aur K+ | Ca2+ aur Mg2+ | Fe2+ aur Al3+ | Cl- aur SO4²- | **B** |
| **46** | Chemistry | Benzene ka Nitration karne ke liye kis electrophile ka upyog hota hai? | NO+ | NO2+ | NO2- | HNO3 | **B** |
| **47** | Chemistry | Rasayanik samya (Chemical equilibrium) par Catalyst (utprerak) ka kya prabhav padta hai? | K ki value badhata hai | Equilibrium jaldi lata hai | K ki value kam karta hai | Koyi asar nahi padta | **B** |
| **48** | Chemistry | Inme se kaun sa compound ‘Aromatic’ nahi hai? | Benzene | Naphthalene | Cyclohexane | Anthracene | **C** |
| **49** | Chemistry | Bhopal Gas Tragedy mein kis gas ka leakage hua tha? | Potassium Cyanide | Methyl Isocyanate | Phosgene | Carbon Monoxide | **B** |
| **50** | Chemistry | Phenol ko Zinc dust ke sath garam karne par kya banta hai? | Benzene | Toluene | Benzaldehyde | Benzoic Acid | **A** |
| **51** | Chemistry | Kis solution ka pH sabse kam hoga? | 0.1 M HCl | 0.1 M NaOH | 0.1 M CH3COOH | Shuddh Pani | **A** |
| **52** | Chemistry | Semiconductor chips banane mein kis metalloid ka upyog sabse zyada hota hai? | Boron | Silicon | Arsenic | Antimony | **B** |
| **53** | Chemistry | Brass (Pital) kin dhaatuon (metals) ka alloy hai? | Cu + Sn | Cu + Zn | Fe + Cr | Al + Mg | **B** |
| **54** | Chemistry | Teflon ka monomer kya hota hai? | Vinyl chloride | Tetrafluoroethylene | Styrene | Isoprene | **B** |
| **55** | Chemistry | Lucas Reagent ka upyog kis ke bhed (distinction) ke liye kiya jata hai? | Alcohols | Aldehydes | Amines | Alkyl halides | **A** |
| **56** | Chemistry | Phosgene gas ka rasayanik naam kya hai? | Phosphine | Carbonyl Chloride | Phosphorus trichloride | Carbon tetrachloride | **B** |
| **57** | Chemistry | Glucose aur Fructose aapas mein kis prakar ke isomers hain? | Chain Isomers | Functional Isomers | Position Isomers | Geometrical Isomers | **B** |
| **58** | Chemistry | Electrochemical cell mein Anode par hamesha kya hota hai? | Reduction | Oxidation | Hydrolysis | Sublimation | **B** |
| **59** | Chemistry | Ideal solution ke liye mixing enthalpy (ΔHmix) ka maan kya hota hai? | Positive | Negative | Zero | Infinite | **C** |
| **60** | Chemistry | Zeise’s Salt kis prakar ka compound hai? | Coordination compound | Organometallic | Double salt | Acid salt | **B** |
| **61** | Chemistry | Diamond (Heere) mein carbon ka hybridization kya hota hai? | sp | sp² | sp³ | sp³d | **C** |
| **62** | Chemistry | Milk (Doodh) kis prakar ka colloidal system hai? | Gel | Sol | Emulsion | Foam | **C** |
| **63** | Mathematics | Yadi A ek 3×3 matrix hai aur |A| = 5, toh |adj(A)| ka maan kya hoga? | 5 | 25 | 125 | 0 | **B** |
| **64** | Mathematics | ∫ ex (sin x + cos x) dx ka maan kya hoga? | ex cos x + C | ex sin x + C | -ex sin x + C | ex tan x + C | **B** |
| **65** | Mathematics | Set A mein 3 elements hain aur Set B mein 4 elements hain. A se B mein total kitne functions ban sakte hain? | 3⁴ | 4³ | 12 | 7 | **B** |
| **66** | Mathematics | lim (x → 0) (sin x / x) ka maan kya hota hai? | 0 | 1 | Infinite | Define nahi hai | **B** |
| **67** | Mathematics | Complex number z = 1 + i√3 ka amplitude (argument) kya hoga? | π/6 | π/4 | π/3 | π/2 | **C** |
| **68** | Mathematics | Differential equation d²y/dx² + (dy/dx)³ + y = 0 ki Degree kya hai? | 1 | 2 | 3 | 0 | **A** |
| **69** | Mathematics | Do dice ko ek sath phenkne par dono par same number (doublet) aane ki probability kya hogi? | 1/36 | 1/6 | 1/12 | 1/2 | **B** |
| **70** | Mathematics | nCr + nCr-1 ka maan kiske barabar hota hai? | n+1Cr | nCr+1 | n+1Cr+1 | n-1Cr | **A** |
| **71** | Mathematics | Ellipse (Deergh-vritt) x²/16 + y²/9 = 1 ki eccentricity (utkandrata) kya hogi? | √7/4 | 3/4 | 7/16 | 4/3 | **A** |
| **72** | Mathematics | Yadi do lines ke direction ratios (1, 2, 3) aur (2, -1, 0) hain, toh unke beech ka angle kya hoga? | 0° | 45° | 90° | 60° | **C** |
| **73** | Mathematics | Vector a = 2i + j – k aur b = i – j + 2k ka dot product kya hoga? | 1 | -1 | 0 | 3 | **B** |
| **74** | Mathematics | Function f(x) = log(sin x) ka domain kya hoga jahan ye define hai? | (0, π) | (-π, π) | R | [0, 1] | **A** |
| **75** | Mathematics | sin&supmin;¹x + cos&supmin;¹x ka maan kya hota hai (jahan -1 ≤ x ≤ 1)? | 0 | π | π/2 | 2π | **C** |
| **76** | Mathematics | Binomial expansion (x + y)¹⁰ mein total kitne terms honge? | 10 | 11 | 9 | 20 | **B** |
| **77** | Mathematics | Series 2, 4, 8, 16, … ke pehle 10 terms ka sum kya hoga? | 2046 | 1024 | 2048 | 512 | **A** |
| **78** | Mathematics | ∫ (0 se π/2) sin x / (sin x + cos x) dx ka nishchit samakal maan kya hai? | π | π/2 | π/4 | 0 | **C** |
| **79** | Mathematics | Arithmetic Progression (AP) ka 7th term 40 hai, toh uske pehle 13 terms ka sum kya hoga? | 260 | 520 | 400 | Data apurn hai | **B** |
| **80** | Mathematics | Parabola y² = 16x ke focus (nabhi) ke coordinates kya hain? | (0, 4) | (4, 0) | (-4, 0) | (0, -4) | **B** |
| **81** | Mathematics | Yadi P(A) = 0.4, P(B) = 0.5 aur A aur B independent events hain, toh P(A ∩ B) kya hoga? | 0.9 | 0.1 | 0.2 | 0.05 | **C** |
| **82** | Mathematics | Determinant |1 2| |3 4| ka maan kya hoga? | -2 | 2 | 10 | 0 | **A** |
| **83** | Mathematics | Function f(x) = x² – 4x + 5 ki minimum value kya hogi? | 1 | 5 | 2 | 0 | **A** |
| **84** | Mathematics | Circle x² + y² – 4x – 6y – 12 = 0 ki radius (trijya) kya hogi? | 3 | 4 | 5 | 6 | **C** |
| **85** | Mathematics | tan 15° ka maan kya hota hai? | 2-√3 | 2+√3 | √3-1 | (√3+1)/2 | **A** |
| **86** | Mathematics | d/dx(log(sec x)) ka derivative kya hoga? | sec x | tan x | cot x | sec x tan x | **B** |
| **87** | Mathematics | Hyperbola x²/9 – y²/16 = 1 ke asymptotes ke beech ka relation ya latus rectum ki length kya hogi? | 32/3 | 16/3 | 8/3 | 9/4 | **A** |
| **88** | Mathematics | Z-axis ke direction cosines kya hote hain? | (1, 0, 0) | (0, 1, 0) | (0, 0, 1) | (1, 1, 1) | **C** |
| **89** | Mathematics | Linear Programming Problem (LPP) mein objective function hamesha kaisa hota hai? | Quadratic | Linear | Cubic | Exponential | **B** |
| **90** | Mathematics | ∫ 1/(1+x²) dx ka maan kya hoga? | sin&supmin;¹x + C | tan&supmin;¹x + C | log(1+x²) + C | -cot&supmin;¹x | **B** |
| **91** | Mathematics | Do vectors a aur b perpendicular (lamba-vat) hain yadi: | a×b = 0 | a·b = 0 | a·b = 1 | a = b | **B** |
| **92** | Mathematics | Matrix multiplication kis niyam ka palan aamtaur par nahi karta? | Associative Law | Commutative Law | Distributive Law | Koyi nahi | **B** |
| **93** | Mathematics | Geometric Progression (GP) ka common ratio r agar |r| < 1 hai, toh infinite terms ka sum kya hota hai? | a / (1-r) | a(1-r^n) / (1-r) | ar^(n-1) | a/r | **A** |
| **94** | Mathematics | Coin ko 3 baar uchhalne par exact 2 heads aane ki probability kya hogi? | 1/8 | 3/8 | 1/2 | 7/8 | **B** |
| **95** | Mathematics | Function f(x) = |x| point x = 0 par kya hai? | Continuous par Differentiable nahi | Differentiable par Continuous nahi | Dono hai | Dono nahi | **A** |
| **96** | Mathematics | Binary operation * jo a * b = a + b – ab se define hai, iska identity element kya hoga? | 1 | 0 | -1 | Define nahi hai | **B** |
| **97** | Mathematics | Vector a × a ka maan hamesha kya hota hai? | |a|² | Zero Vector | 1 | -1 | **B** |
| **98** | Mathematics | Plane 2x – 3y + 6z = 7 ki origin (mool bindu) se doori (distance) kya hai? | 1 | 7 | 7/7 = 1 | 7 / √49 | **C** |
| **99** | Mathematics | cos(2θ) ka formula tanθ ke padon mein kya hota hai? | 2tanθ / (1+tan²θ) | (1-tan²θ) / (1+tan²θ) | (1+tan²θ) / (1-tan²θ) | 2tanθ / (1-tan²θ) | **B** |
| **100** | Mathematics | d/dx (x^x) ka derivative kya hota hai? | x · x^(x-1) | x^x (1 + log x) | x^x log x | x^x / (1+log x) | **B** |

Abhi Result

JEECUP Group E1 (PCM) – 100 MCQs