Daily MCQ Paper — 3 May 2026

Daily MCQ Paper — 3 May 2026

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

1. Q1. 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
2. Q2. SI unit of magnetic flux is
   1. Tesla
   2. Weber
   3. Henry
   4. Gauss
3. Q3. The dimensional formula of Planck's constant is
   1. [ML²T⁻¹]
   2. [MLT⁻¹]
   3. [ML²T⁻²]
   4. [MLT⁻²]
4. Q4. Two resistors 6 Ω and 3 Ω in parallel give
   1. 9 Ω
   2. 2 Ω
   3. 3 Ω
   4. 4.5 Ω
5. Q5. Young's modulus has dimensions of
   1. Force
   2. Pressure
   3. Energy
   4. Power
6. Q6. 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
7. Q7. 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
8. Q8. A satellite at height h has orbital speed
   1. √(GM/(R+h))
   2. √(GMR)
   3. √(GM/h)
   4. √(2GM/R)
9. Q9. In a stationary wave, distance between two consecutive nodes is
   1. λ
   2. λ/2
   3. λ/4
   4. 2λ
10. Q10. 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
11. Q11. Kirchhoff's voltage law is based on conservation of
    1. Charge
    2. Energy
    3. Momentum
    4. Mass
12. Q12. Gravitational potential energy on Earth surface relative to infinity is
    1. +GMm/R
    2. -GMm/R
    3. -GMm/R²
    4. 0
13. Q13. 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
14. Q14. Coefficient of restitution e=1 corresponds to
    1. Inelastic
    2. Perfectly elastic
    3. Perfectly inelastic
    4. Cannot say
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 photon of frequency 5×10¹⁴ Hz has energy ~ (h=6.6e-34)
    1. 3.3×10⁻¹⁹ J
    2. 6.6×10⁻¹⁹ J
    3. 1.65×10⁻¹⁹ J
    4. 5×10⁻¹⁹ J
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. Equilibrium constant Kp for a reaction with Δn=0
    1. Kc
    2. Kc·RT
    3. Kc/(RT)
    4. 0
20. Q20. Number of stereoisomers of a molecule with 2 chiral centers (no meso)
    1. 2
    2. 3
    3. 4
    4. 8
21. Q21. Galvanic cell converts
    1. Electrical → chemical
    2. Chemical → electrical
    3. Heat → electrical
    4. Light → electrical
22. Q22. 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
23. Q23. SN1 reactions proceed via
    1. Carbocation intermediate
    2. Carbanion
    3. Free radical
    4. Concerted bimolecular
24. Q24. Name reaction that converts benzene to nitrobenzene
    1. Friedel-Crafts
    2. Nitration with HNO₃/H₂SO₄
    3. Sandmeyer
    4. Wurtz
25. Q25. IUPAC name of CH₃COCH₃
    1. Acetone
    2. Propanal
    3. Propan-2-one
    4. Propanoic acid
26. Q26. Aspirin is chemically
    1. Salicylic acid
    2. Acetyl salicylic acid
    3. Methyl salicylate
    4. Phenol
27. Q27. Bond order of O₂ from MO theory
    1. 1
    2. 1.5
    3. 2
    4. 2.5
28. Q28. Which is most acidic?
    1. Phenol
    2. Ethanol
    3. Methanol
    4. Water
29. Q29. First law of thermodynamics for an isolated system
    1. ΔU = q + w
    2. ΔU = 0
    3. ΔH = 0
    4. ΔS = 0
30. Q30. Which is a Lewis acid?
    1. NH₃
    2. BF₃
    3. H₂O
    4. OH⁻
31. Q31. Number of moles in 22 g of CO₂ (M=44)
    1. 0.5
    2. 1
    3. 2
    4. 0.25
32. Q32. Which has the highest first ionisation energy?
    1. Na
    2. Mg
    3. Al
    4. Si
33. Q33. The hybridisation of carbon in CO₂ is
    1. sp
    2. sp²
    3. sp³
    4. sp³d
34. Q34. Aldol condensation involves
    1. α-hydrogen of carbonyl
    2. β-hydrogen
    3. OH group
    4. Carbonyl O
35. Q35. ∫(1/x) dx =
    1. ln|x|+C
    2. x ln x+C
    3. 1/x²+C
    4. x+C
36. Q36. lim(x→0) sin(x)/x =
    1. 0
    2. 1
    3. ∞
    4. undefined
37. Q37. Derivative of x³ is
    1. 3x²
    2. x²
    3. 3x
    4. x⁴/4
38. Q38. If A is a 3×3 matrix with det A=2, det(2A) =
    1. 4
    2. 8
    3. 16
    4. 32
39. Q39. Solution of dy/dx = y is
    1. y = e^x + C
    2. y = Ce^x
    3. y = ln x + C
    4. y = x²
40. Q40. Number of arrangements of letters of "BANANA"
    1. 60
    2. 120
    3. 360
    4. 720
41. Q41. Sum of roots of x² − 5x + 6 = 0
    1. 5
    2. 6
    3. -5
    4. -6
42. Q42. cos(60°) =
    1. ½
    2. √3/2
    3. 1/√2
    4. 1
43. Q43. If sinθ = 3/5 in QI, then cosθ =
    1. 3/5
    2. 4/5
    3. 5/3
    4. 5/4
44. Q44. Probability of getting a head and a 6 with one coin and one die
    1. 1/12
    2. 1/6
    3. 1/2
    4. 1/3
45. Q45. The slope of line 2x + 3y = 6 is
    1. 2/3
    2. -2/3
    3. 3/2
    4. -3/2
46. Q46. Distance between (1,2) and (4,6)
    1. 3
    2. 4
    3. 5
    4. 7
47. Q47. Mean of first 10 natural numbers
    1. 5
    2. 5.5
    3. 6
    4. 10
48. Q48. log₂ 32 =
    1. 4
    2. 5
    3. 6
    4. 8
49. Q49. If f(x)=x²+1, then f(f(2))
    1. 5
    2. 17
    3. 26
    4. 25
50. Q50. Area of triangle with vertices (0,0),(4,0),(0,3)
    1. 6
    2. 12
    3. 7
    4. 5