Daily MCQ Paper — 4 May 2026

Daily MCQ Paper — 4 May 2026

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

1. Q1. SI unit of magnetic flux is
   1. Tesla
   2. Weber
   3. Henry
   4. Gauss
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. 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
4. Q4. 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
5. Q5. 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
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. The dimensional formula of Planck's constant is
   1. [ML²T⁻¹]
   2. [MLT⁻¹]
   3. [ML²T⁻²]
   4. [MLT⁻²]
8. Q8. Gravitational potential energy on Earth surface relative to infinity is
   1. +GMm/R
   2. -GMm/R
   3. -GMm/R²
   4. 0
9. Q9. Young's modulus has dimensions of
   1. Force
   2. Pressure
   3. Energy
   4. Power
10. Q10. A satellite at height h has orbital speed
    1. √(GM/(R+h))
    2. √(GMR)
    3. √(GM/h)
    4. √(2GM/R)
11. Q11. Coefficient of restitution e=1 corresponds to
    1. Inelastic
    2. Perfectly elastic
    3. Perfectly inelastic
    4. Cannot say
12. Q12. 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
13. Q13. 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
14. Q14. 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
15. Q15. In a stationary wave, distance between two consecutive nodes is
    1. λ
    2. λ/2
    3. λ/4
    4. 2λ
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. Two resistors 6 Ω and 3 Ω in parallel give
    1. 9 Ω
    2. 2 Ω
    3. 3 Ω
    4. 4.5 Ω
18. Q18. The hybridisation of carbon in CO₂ is
    1. sp
    2. sp²
    3. sp³
    4. sp³d
19. Q19. SN1 reactions proceed via
    1. Carbocation intermediate
    2. Carbanion
    3. Free radical
    4. Concerted bimolecular
20. Q20. Aspirin is chemically
    1. Salicylic acid
    2. Acetyl salicylic acid
    3. Methyl salicylate
    4. Phenol
21. Q21. Which has the highest first ionisation energy?
    1. Na
    2. Mg
    3. Al
    4. Si
22. Q22. Markovnikov's rule applies to
    1. Free-radical addition
    2. Electrophilic addition to alkenes
    3. Nucleophilic substitution
    4. Elimination
23. Q23. Bond order of O₂ from MO theory
    1. 1
    2. 1.5
    3. 2
    4. 2.5
24. Q24. Which is a Lewis acid?
    1. NH₃
    2. BF₃
    3. H₂O
    4. OH⁻
25. Q25. IUPAC name of CH₃COCH₃
    1. Acetone
    2. Propanal
    3. Propan-2-one
    4. Propanoic acid
26. Q26. Which is most acidic?
    1. Phenol
    2. Ethanol
    3. Methanol
    4. Water
27. Q27. Number of stereoisomers of a molecule with 2 chiral centers (no meso)
    1. 2
    2. 3
    3. 4
    4. 8
28. Q28. Equilibrium constant Kp for a reaction with Δn=0
    1. Kc
    2. Kc·RT
    3. Kc/(RT)
    4. 0
29. Q29. Galvanic cell converts
    1. Electrical → chemical
    2. Chemical → electrical
    3. Heat → electrical
    4. Light → electrical
30. Q30. Number of moles in 22 g of CO₂ (M=44)
    1. 0.5
    2. 1
    3. 2
    4. 0.25
31. Q31. Name reaction that converts benzene to nitrobenzene
    1. Friedel-Crafts
    2. Nitration with HNO₃/H₂SO₄
    3. Sandmeyer
    4. Wurtz
32. Q32. Aldol condensation involves
    1. α-hydrogen of carbonyl
    2. β-hydrogen
    3. OH group
    4. Carbonyl O
33. Q33. 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
34. Q34. First law of thermodynamics for an isolated system
    1. ΔU = q + w
    2. ΔU = 0
    3. ΔH = 0
    4. ΔS = 0
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. If A is a 3×3 matrix with det A=2, det(2A) =
    1. 4
    2. 8
    3. 16
    4. 32
38. Q38. Derivative of x³ is
    1. 3x²
    2. x²
    3. 3x
    4. x⁴/4
39. Q39. Number of arrangements of letters of "BANANA"
    1. 60
    2. 120
    3. 360
    4. 720
40. Q40. Solution of dy/dx = y is
    1. y = e^x + C
    2. y = Ce^x
    3. y = ln x + C
    4. y = x²
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. Distance between (1,2) and (4,6)
    1. 3
    2. 4
    3. 5
    4. 7
46. Q46. log₂ 32 =
    1. 4
    2. 5
    3. 6
    4. 8
47. Q47. Mean of first 10 natural numbers
    1. 5
    2. 5.5
    3. 6
    4. 10
48. Q48. The slope of line 2x + 3y = 6 is
    1. 2/3
    2. -2/3
    3. 3/2
    4. -3/2
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