Daily MCQ Paper — 1 May 2026

Daily MCQ Paper — 1 May 2026

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

1. Q1. In a stationary wave, distance between two consecutive nodes is
   1. λ
   2. λ/2
   3. λ/4
   4. 2λ
2. Q2. 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
3. Q3. Young's modulus has dimensions of
   1. Force
   2. Pressure
   3. Energy
   4. Power
4. Q4. 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
5. Q5. The dimensional formula of Planck's constant is
   1. [ML²T⁻¹]
   2. [MLT⁻¹]
   3. [ML²T⁻²]
   4. [MLT⁻²]
6. Q6. Coefficient of restitution e=1 corresponds to
   1. Inelastic
   2. Perfectly elastic
   3. Perfectly inelastic
   4. Cannot say
7. Q7. Critical angle for glass-air interface (n=1.5) is approximately
   1. 30 deg
   2. 42 deg
   3. 60 deg
   4. 48 deg
8. Q8. Kirchhoff's voltage law is based on conservation of
   1. Charge
   2. Energy
   3. Momentum
   4. Mass
9. Q9. Gravitational potential energy on Earth surface relative to infinity is
   1. +GMm/R
   2. -GMm/R
   3. -GMm/R²
   4. 0
10. Q10. A satellite at height h has orbital speed
    1. √(GM/(R+h))
    2. √(GMR)
    3. √(GM/h)
    4. √(2GM/R)
11. Q11. SI unit of magnetic flux is
    1. Tesla
    2. Weber
    3. Henry
    4. Gauss
12. 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
13. Q13. A capacitor of 4 µF charged to 100 V stores energy of
    1. 0.02 J
    2. 0.04 J
    3. 0.2 J
    4. 0.4 J
14. Q14. 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
15. Q15. 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
16. Q16. A wire of resistance R is stretched to double its length. New resistance is
    1. R
    2. 2R
    3. 4R
    4. R/2
17. Q17. Half-life of a sample is 5 years. Fraction remaining after 15 years
    1. 1/2
    2. 1/4
    3. 1/8
    4. 1/16
18. Q18. Markovnikov's rule applies to
    1. Free-radical addition
    2. Electrophilic addition to alkenes
    3. Nucleophilic substitution
    4. Elimination
19. Q19. Cannizzaro reaction is given by
    1. HCHO
    2. CH3CHO
    3. CH3COCH3
    4. C2H5CHO
20. Q20. Number of moles in 22 g of CO₂ (M=44)
    1. 0.5
    2. 1
    3. 2
    4. 0.25
21. Q21. Which gas is liberated at the anode during electrolysis of dilute H2SO4?
    1. H2
    2. O2
    3. SO2
    4. Cl2
22. Q22. The hybridisation of carbon in CO₂ is
    1. sp
    2. sp²
    3. sp³
    4. sp³d
23. Q23. Bond order of O₂ from MO theory
    1. 1
    2. 1.5
    3. 2
    4. 2.5
24. Q24. First law of thermodynamics for an isolated system
    1. ΔU = q + w
    2. ΔU = 0
    3. ΔH = 0
    4. ΔS = 0
25. Q25. Which is a Lewis acid?
    1. NH₃
    2. BF₃
    3. H₂O
    4. OH⁻
26. Q26. SN1 reactions proceed via
    1. Carbocation intermediate
    2. Carbanion
    3. Free radical
    4. Concerted bimolecular
27. Q27. Which is most acidic?
    1. Phenol
    2. Ethanol
    3. Methanol
    4. Water
28. Q28. Which has the highest first ionisation energy?
    1. Na
    2. Mg
    3. Al
    4. Si
29. Q29. Which has the highest first ionisation energy?
    1. Na
    2. Mg
    3. Al
    4. Si
30. Q30. Equilibrium constant Kp for a reaction with Δn=0
    1. Kc
    2. Kc·RT
    3. Kc/(RT)
    4. 0
31. Q31. Hybridisation of carbon in methane is
    1. sp
    2. sp2
    3. sp3
    4. sp3d
32. Q32. 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
33. Q33. Number of sigma bonds in ethyne (C2H2) is
    1. 2
    2. 3
    3. 4
    4. 5
34. Q34. Number of stereoisomers possible for 2-bromobutane is
    1. 1
    2. 2
    3. 3
    4. 4
35. Q35. Derivative of x³ is
    1. 3x²
    2. x²
    3. 3x
    4. x⁴/4
36. Q36. cos(60°) =
    1. ½
    2. √3/2
    3. 1/√2
    4. 1
37. Q37. integral of (1/x) dx =
    1. x
    2. ln|x|+C
    3. 1/x2
    4. x*ln x
38. Q38. lim(x→0) sin(x)/x =
    1. 0
    2. 1
    3. ∞
    4. undefined
39. Q39. If A is a 3×3 matrix with det A=2, det(2A) =
    1. 4
    2. 8
    3. 16
    4. 32
40. Q40. Number of arrangements of letters of "BANANA"
    1. 60
    2. 120
    3. 360
    4. 720
41. Q41. Solution of dy/dx = y is
    1. y = e^x + C
    2. y = Ce^x
    3. y = ln x + C
    4. y = x²
42. Q42. Distance between (1,2) and (4,6)
    1. 3
    2. 4
    3. 5
    4. 7
43. Q43. 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)
44. Q44. Sum of roots of x² − 5x + 6 = 0
    1. 5
    2. 6
    3. -5
    4. -6
45. Q45. ∫(1/x) dx =
    1. ln|x|+C
    2. x ln x+C
    3. 1/x²+C
    4. x+C
46. Q46. If sinθ = 3/5 in QI, then cosθ =
    1. 3/5
    2. 4/5
    3. 5/3
    4. 5/4
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. If f(x)=x²+1, then f(f(2))
    1. 5
    2. 17
    3. 26
    4. 25
50. Q50. log₂ 32 =
    1. 4
    2. 5
    3. 6
    4. 8