Daily MCQ Paper — 26 April 2026

Daily MCQ Paper — 26 April 2026

50 questions across all sections. Use the practice interface to attempt; review answers and explanations after submission.

1. Q1. A force is conservative if
   1. Work done is path-independent
   2. Work along closed loop is zero
   3. Both A and B
   4. It is constant
2. Q2. Young's modulus has units of
   1. N
   2. N·m
   3. Pa
   4. J
3. Q3. The work-energy theorem states that net work done equals
   1. Change in momentum
   2. Change in kinetic energy
   3. Change in potential energy
   4. Change in mechanical energy
4. Q4. In a perfectly elastic 1-D collision between equal masses, the velocities
   1. Are exchanged
   2. Both become zero
   3. Both become equal
   4. Reverse signs
5. Q5. Centre of mass of a uniform semicircular ring of radius R lies at
   1. R/π from centre
   2. 2R/π from centre
   3. R/2 from centre
   4. 4R/3π from centre
6. Q6. Equipotential surfaces are always
   1. Parallel to E
   2. Perpendicular to E
   3. At 45° to E
   4. Independent of E
7. Q7. Poisson's ratio for an ideal incompressible material is
   1. 0
   2. 0.25
   3. 0.5
   4. 1
8. Q8. Dipole moment of a system of two charges +q and -q separated by distance 2a is
   1. qa
   2. 2qa
   3. q/2a
   4. q/a
9. Q9. The coefficient of restitution e for a perfectly inelastic collision is
   1. 0
   2. 0.5
   3. 1
   4. Infinity
10. Q10. Power delivered by a constant force F on a body moving with velocity v is
    1. F·v
    2. F²/v
    3. F·v²
    4. ½Fv
11. Q11. de Broglie wavelength of an electron with KE 100 eV is approximately
    1. 0.123 nm
    2. 1.23 nm
    3. 12.3 nm
    4. 0.0123 nm
12. Q12. Coefficient of restitution e=1 corresponds to
    1. Inelastic
    2. Perfectly elastic
    3. Perfectly inelastic
    4. Cannot say
13. Q13. The work done in moving a charge in equipotential surface is
    1. Maximum
    2. Zero
    3. Negative
    4. Depends on path
14. Q14. Bohr radius a0 for hydrogen-like atom of Z=2 is
    1. a0
    2. a0/2
    3. 2*a0
    4. 4*a0
15. Q15. de Broglie wavelength of an electron accelerated through 150 V is approximately
    1. 1 angstrom
    2. 0.5 angstrom
    3. 2 angstrom
    4. 12 angstrom
16. Q16. Frequency of LC circuit (L=1 mH, C=1 µF) is approximately
    1. 5.03 kHz
    2. 5 kHz
    3. 15.9 kHz
    4. 159 Hz
17. Q17. Young's modulus has dimensions of
    1. Force
    2. Pressure
    3. Energy
    4. Power
18. Q18. According to VSEPR, the shape of XeF4 is
    1. Tetrahedral
    2. Square planar
    3. See-saw
    4. T-shape
19. Q19. Bond order of O2 from MO theory is
    1. 1
    2. 1.5
    3. 2
    4. 3
20. Q20. According to VSEPR, the shape of SF6 is
    1. Square planar
    2. Octahedral
    3. Trigonal bipyramidal
    4. Tetrahedral
21. Q21. Boyle's law states
    1. PV = constant at constant T
    2. V/T = constant
    3. P/T = constant
    4. PV/T = constant
22. Q22. Wurtz reaction couples two alkyl halides using
    1. Na/dry ether
    2. Zn/HCl
    3. Fe/H2O
    4. LiAlH4
23. Q23. Markovnikov's rule applies to addition of
    1. Symmetric reagent to symmetric alkene
    2. HX to unsymmetric alkene
    3. Halogen to alkyne
    4. Diazonium decomposition
24. Q24. Van der Waals equation corrects ideal gas law for
    1. Inter-molecular attraction and finite size
    2. Mass and energy
    3. Vibration and rotation
    4. Quantum effects
25. Q25. The major contributor to acid rain is
    1. CO2
    2. SO2 and NOx
    3. CH4
    4. CFCs
26. Q26. Photochemical smog is rich in
    1. Reducing agents
    2. Oxidants like ozone, PAN
    3. SO2
    4. HCl
27. Q27. BOD measures
    1. Bond order
    2. Biological Oxygen Demand of water
    3. Boiling oxygen
    4. Bromide content
28. Q28. Equilibrium constant Kp for a reaction with Δn=0
    1. Kc
    2. Kc·RT
    3. Kc/(RT)
    4. 0
29. Q29. Henderson–Hasselbalch equation for buffer
    1. pH = pKa + log([A⁻]/[HA])
    2. pH = pKa − log([A⁻]/[HA])
    3. pH = pKb + log([B]/[BH⁺])
    4. pH = pKw − pOH
30. Q30. IUPAC name of CH₃COCH₃
    1. Acetone
    2. Propanal
    3. Propan-2-one
    4. Propanoic acid
31. Q31. Adsorption of a gas on solid is generally
    1. Endothermic
    2. Exothermic
    3. Athermic
    4. Variable
32. Q32. Markovnikov's rule applies to
    1. Free-radical addition
    2. Electrophilic addition to alkenes
    3. Nucleophilic substitution
    4. Elimination
33. Q33. Aspirin is chemically
    1. Salicylic acid
    2. Acetyl salicylic acid
    3. Methyl salicylate
    4. Phenol
34. Q34. Lyophobic colloids are stabilised by
    1. Hydration
    2. Charge on dispersed particles
    3. Solvent affinity
    4. Salting out
35. Q35. Sum of squares of first n natural numbers is
    1. n(n+1)/2
    2. n(n+1)(2n+1)/6
    3. [n(n+1)/2]²
    4. n²
36. Q36. Sum of first n natural numbers is
    1. n(n+1)/2
    2. n²
    3. n(n+1)(2n+1)/6
    4. n(n-1)/2
37. Q37. Sum of cubes of first n natural numbers equals
    1. n(n+1)/2
    2. n(n+1)(2n+1)/6
    3. [n(n+1)/2]²
    4. n²(n+1)
38. Q38. A telescoping series sums most terms to
    1. Zero pairwise cancellation
    2. Diverge
    3. First term only
    4. Last term only
39. Q39. Lagrange Mean Value Theorem requires f to be
    1. Continuous on [a,b], differentiable on (a,b)
    2. Only continuous
    3. Only differentiable
    4. Periodic
40. Q40. Rolle's Theorem requires additionally that
    1. f(a) = f(b)
    2. f(a) > f(b)
    3. f is monotone
    4. f is bounded
41. Q41. The form 0/0 is an
    1. Indeterminate form
    2. Defined as 0
    3. Defined as 1
    4. Defined as ∞
42. Q42. If y = f(g(x)), then dy/dx equals
    1. f'(g(x))
    2. g'(x)
    3. f'(g(x))·g'(x)
    4. f'(x)·g'(x)
43. Q43. A statement that is always true is called
    1. Contradiction
    2. Tautology
    3. Contingency
    4. Disjunction
44. Q44. p ↔ q is true when
    1. Both true or both false
    2. One true one false
    3. p false
    4. q true
45. Q45. log₂ 32 =
    1. 4
    2. 5
    3. 6
    4. 8
46. Q46. If f(x)=x²+1, then f(f(2))
    1. 5
    2. 17
    3. 26
    4. 25
47. Q47. Mean of first 10 natural numbers
    1. 5
    2. 5.5
    3. 6
    4. 10
48. Q48. The derivative of sin^2 x is
    1. 2 sin x
    2. 2 sin x cos x
    3. cos^2 x
    4. -sin 2x
49. Q49. lim(x→0) sin(x)/x =
    1. 0
    2. 1
    3. ∞
    4. undefined
50. Q50. Area of triangle with vertices (0,0),(4,0),(0,3)
    1. 6
    2. 12
    3. 7
    4. 5