Daily MCQ Paper — 25 April 2026

April 25, 2026 ·

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Daily Practice Sheet — 50 Questions

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Daily MCQ Paper — 25 April 2026

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

Q1. Young's modulus has units of
1. N
2. N·m
3. Pa
4. J
Q2. 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
Q3. 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
Q4. 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
Q5. The coefficient of restitution e for a perfectly inelastic collision is
1. 0
2. 0.5
3. 1
4. Infinity
Q6. 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
Q7. 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
Q8. Poisson's ratio for an ideal incompressible material is
1. 0
2. 0.25
3. 0.5
4. 1
Q9. Equipotential surfaces are always
1. Parallel to E
2. Perpendicular to E
3. At 45° to E
4. Independent of E
Q10. 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
Q11. The work done in moving a charge in equipotential surface is
1. Maximum
2. Zero
3. Negative
4. Depends on path
Q12. A converging lens of f=20 cm forms image at 30 cm. Object distance is
1. +12 cm
2. -12 cm
3. +60 cm
4. -60 cm
Q13. Bohr radius a0 for hydrogen-like atom of Z=2 is
1. a0
2. a0/2
3. 2*a0
4. 4*a0
Q14. In photoelectric effect, stopping potential depends on
1. Intensity only
2. Frequency only
3. Both
4. Neither
Q15. A satellite revolves close to Earths surface. Its orbital velocity is
1. 7.9 km/s
2. 11.2 km/s
3. 3.1 km/s
4. 9.8 km/s
Q16. In an AC circuit V = V0 sin(ωt) and I = I0 sin(ωt – π/2), the average power is
1. V0I0/2
2. V0I0
3. Zero
4. V0I0/√2
Q17. A NAND gate output is HIGH unless
1. Both inputs LOW
2. Both inputs HIGH
3. Either input HIGH
4. Either input LOW
Q18. According to VSEPR, the shape of XeF4 is
1. Tetrahedral
2. Square planar
3. See-saw
4. T-shape
Q19. Boyle's law states
1. PV = constant at constant T
2. V/T = constant
3. P/T = constant
4. PV/T = constant
Q20. 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
Q21. BOD measures
1. Bond order
2. Biological Oxygen Demand of water
3. Boiling oxygen
4. Bromide content
Q22. Bond order of O2 from MO theory is
1. 1
2. 1.5
3. 2
4. 3
Q23. The major contributor to acid rain is
1. CO2
2. SO2 and NOx
3. CH4
4. CFCs
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
Q25. According to VSEPR, the shape of SF6 is
1. Square planar
2. Octahedral
3. Trigonal bipyramidal
4. Tetrahedral
Q26. Wurtz reaction couples two alkyl halides using
1. Na/dry ether
2. Zn/HCl
3. Fe/H2O
4. LiAlH4
Q27. Photochemical smog is rich in
1. Reducing agents
2. Oxidants like ozone, PAN
3. SO2
4. HCl
Q28. Bond order of O₂ from MO theory
1. 1
2. 1.5
3. 2
4. 2.5
Q29. First law of thermodynamics for an isolated system
1. ΔU = q + w
2. ΔU = 0
3. ΔH = 0
4. ΔS = 0
Q30. Which gas is liberated at the anode during electrolysis of dilute H2SO4?
1. H2
2. O2
3. SO2
4. Cl2
Q31. Which is a strong electrolyte?
1. CH3COOH
2. NH4OH
3. H2O
4. NaCl
Q32. Number of stereoisomers possible for 2-bromobutane is
1. 1
2. 2
3. 3
4. 4
Q33. Markovnikov's rule applies to
1. Free-radical addition
2. Electrophilic addition to alkenes
3. Nucleophilic substitution
4. Elimination
Q34. Aldehydes are oxidised by Tollens' reagent to give
1. Alcohol
2. Carboxylic acid (silver mirror forms)
3. Ester
4. Ether
Q35. 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
Q36. 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)
Q37. 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
Q38. A telescoping series sums most terms to
1. Zero pairwise cancellation
2. Diverge
3. First term only
4. Last term only
Q39. The form 0/0 is an
1. Indeterminate form
2. Defined as 0
3. Defined as 1
4. Defined as ∞
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
Q41. 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)
Q42. A statement that is always true is called
1. Contradiction
2. Tautology
3. Contingency
4. Disjunction
Q43. p ↔ q is true when
1. Both true or both false
2. One true one false
3. p false
4. q true
Q44. 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
Q45. Solution of dy/dx = y is
1. y = e^x + C
2. y = Ce^x
3. y = ln x + C
4. y = x²
Q46. The derivative of sin^2 x is
1. 2 sin x
2. 2 sin x cos x
3. cos^2 x
4. -sin 2x
Q47. If A and B are mutually exclusive, P(A union B) =
1. P(A)P(B)
2. P(A)+P(B)
3. P(A)+P(B)-P(A intersection B)
4. P(A|B)P(B)
Q48. The general solution of dy/dx = y is
1. y = Cx
2. y = C e^x
3. y = ln x + C
4. y = C/x
Q49. lim x->0 (sin x)/x =
1. 0
2. 1
3. infinity
4. Undefined
Q50. ∫ e^x (sin x) dx equals
1. e^x sin x + C
2. (e^x/2)(sin x − cos x) + C
3. e^x cos x + C
4. (e^x)(sin x + cos x) + C