Daily MCQ Paper — 30 April 2026

Daily MCQ Paper — 30 April 2026

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

1. Q1. In SHM, when displacement is half the amplitude, the ratio KE:PE is
   1. 1:1
   2. 3:1
   3. 1:3
   4. 2:1
2. Q2. Lenz's law is a consequence of conservation of
   1. Charge
   2. Momentum
   3. Energy
   4. Mass
3. Q3. Resonance in a series LCR circuit occurs when
   1. XL = 0
   2. XC = 0
   3. XL = XC
   4. R = 0
4. Q4. In photoelectric effect, stopping potential depends on
   1. Intensity only
   2. Frequency only
   3. Both
   4. Neither
5. Q5. The threshold wavelength for photoemission from a metal of work function 2 eV is approximately
   1. 620 nm
   2. 310 nm
   3. 155 nm
   4. 1240 nm
6. Q6. A NAND gate output is HIGH unless
   1. Both inputs LOW
   2. Both inputs HIGH
   3. Either input HIGH
   4. Either input LOW
7. Q7. 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
8. Q8. The de Broglie wavelength of an electron accelerated through potential V is approximately
   1. 12.27/√V Å
   2. 1.227/√V nm
   3. Both equivalent
   4. 12.27·V Å
9. Q9. In a step-up transformer
   1. Ns < Np
   2. Ns = Np
   3. Ns > Np
   4. Independent of N
10. Q10. Time period of a SHM with k = 4 N/m and m = 1 kg is
    1. π s
    2. 2π s
    3. π/2 s
    4. 4π s
11. Q11. A particle moves with v(t)=4t² m/s. Acceleration at t=2 s is
    1. 8 m/s²
    2. 12 m/s²
    3. 16 m/s²
    4. 4 m/s²
12. Q12. Coefficient of restitution e=1 corresponds to
    1. Inelastic
    2. Perfectly elastic
    3. Perfectly inelastic
    4. Cannot say
13. Q13. A 2 kg block slides down a frictionless incline of 30°. Acceleration is
    1. 5 m/s²
    2. 9.8 m/s²
    3. 4.9 m/s²
    4. 7 m/s²
14. Q14. 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
15. Q15. Wave function of a free particle is solution of which equation?
    1. Newton's 2nd law
    2. Schrödinger equation
    3. Maxwell's equation
    4. Continuity equation
16. Q16. Young's modulus has dimensions of
    1. Force
    2. Pressure
    3. Energy
    4. Power
17. Q17. SI unit of magnetic flux is
    1. Tesla
    2. Weber
    3. Henry
    4. Gauss
18. Q18. Aldehydes are oxidised by Tollens' reagent to give
    1. Alcohol
    2. Carboxylic acid (silver mirror forms)
    3. Ester
    4. Ether
19. Q19. The IUPAC name of CH3-CO-CH2-CH3 is
    1. Butan-1-one
    2. Butan-2-one
    3. Propan-2-one
    4. Pentan-2-one
20. Q20. Carboxylic acids are more acidic than alcohols because
    1. -COOH has a less stable conjugate base
    2. Resonance stabilisation of carboxylate ion
    3. Sigma effect only
    4. -OH is non-acidic
21. Q21. The reagent that converts an amide to amine with one less carbon is
    1. LiAlH4
    2. Br2/KOH (Hofmann bromamide)
    3. SOCl2
    4. LDA
22. Q22. EMF of a Daniell cell (Zn|Zn2+ || Cu2+|Cu) under standard conditions is approximately
    1. +0.34 V
    2. +0.76 V
    3. +1.10 V
    4. +1.50 V
23. Q23. The first transition series ends with
    1. Zn
    2. Cu
    3. Fe
    4. Mn
24. Q24. Lanthanide contraction refers to
    1. Increase in atomic radius across La-Lu
    2. Decrease in atomic radius across La-Lu
    3. Constant radius
    4. Random variation
25. Q25. The coordination number of central atom in [Co(NH3)6]3+ is
    1. 3
    2. 4
    3. 5
    4. 6
26. Q26. Molality is defined as
    1. Moles solute per litre solution
    2. Moles solute per kg solvent
    3. Mass solute per litre
    4. Moles solute per mole solvent
27. Q27. For a first-order reaction, t1/2 is
    1. Independent of [A]0
    2. Inversely proportional to [A]0
    3. Directly proportional to [A]0
    4. Proportional to [A]0^2
28. Q28. Galvanic cell converts
    1. Electrical → chemical
    2. Chemical → electrical
    3. Heat → electrical
    4. Light → electrical
29. Q29. Number of moles in 22 g of CO₂ (M=44)
    1. 0.5
    2. 1
    3. 2
    4. 0.25
30. Q30. SN1 reactions proceed via
    1. Carbocation intermediate
    2. Carbanion
    3. Free radical
    4. Concerted bimolecular
31. Q31. Aspirin is chemically
    1. Salicylic acid
    2. Acetyl salicylic acid
    3. Methyl salicylate
    4. Phenol
32. Q32. Which is a Lewis acid?
    1. NH₃
    2. BF₃
    3. H₂O
    4. OH⁻
33. Q33. Aldol condensation involves
    1. α-hydrogen of carbonyl
    2. β-hydrogen
    3. OH group
    4. Carbonyl O
34. Q34. Which has the highest first ionisation energy?
    1. Na
    2. Mg
    3. Al
    4. Si
35. Q35. ∫(0 to π/2) sin x dx equals
    1. 0
    2. 1
    3. π/2
    4. 2
36. Q36. Maximum value of y = sin x + cos x is
    1. 1
    2. √2
    3. 2
    4. √3
37. Q37. The eccentricity of ellipse x²/25 + y²/16 = 1 is
    1. 3/5
    2. 4/5
    3. 3/4
    4. 5/4
38. Q38. 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
39. Q39. The eccentricity of hyperbola x²/9 − y²/16 = 1 is
    1. 5/4
    2. 5/3
    3. 4/3
    4. 3/5
40. Q40. By Bayes' theorem, P(A|B) equals
    1. P(B|A)P(A)/P(B)
    2. P(A)P(B)
    3. P(A∩B)/P(A)
    4. P(B|A)
41. Q41. The area enclosed by y = x² and y = x is
    1. 1/2
    2. 1/3
    3. 1/6
    4. 1
42. Q42. Critical points of f(x) = x³ − 3x are at
    1. x = 0, 3
    2. x = ±1
    3. x = ±√3
    4. x = 0 only
43. Q43. Slope of tangent to y = ln x at x = 1 is
    1. 0
    2. 1
    3. e
    4. undefined
44. Q44. ∫ 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
45. Q45. Area of triangle with vertices (0,0),(4,0),(0,3)
    1. 6
    2. 12
    3. 7
    4. 5
46. Q46. ∫(1/x) dx =
    1. ln|x|+C
    2. x ln x+C
    3. 1/x²+C
    4. x+C
47. Q47. cos(60°) =
    1. ½
    2. √3/2
    3. 1/√2
    4. 1
48. Q48. If sinθ = 3/5 in QI, then cosθ =
    1. 3/5
    2. 4/5
    3. 5/3
    4. 5/4
49. Q49. Sum of roots of x² − 5x + 6 = 0
    1. 5
    2. 6
    3. -5
    4. -6
50. Q50. If f(x)=x²+1, then f(f(2))
    1. 5
    2. 17
    3. 26
    4. 25