Daily MCQ Paper — 2 May 2026

Daily MCQ Paper — 2 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. Critical angle for glass-air interface (n=1.5) is approximately
   1. 30 deg
   2. 42 deg
   3. 60 deg
   4. 48 deg
3. Q3. 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
4. Q4. 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
5. Q5. Coefficient of restitution e=1 corresponds to
   1. Inelastic
   2. Perfectly elastic
   3. Perfectly inelastic
   4. Cannot say
6. Q6. 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
7. Q7. Two resistors 6 ohm and 3 ohm are in parallel. Equivalent resistance is
   1. 9 ohm
   2. 2 ohm
   3. 4.5 ohm
   4. 1.5 ohm
8. Q8. 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
9. Q9. SI unit of magnetic flux is
   1. Tesla
   2. Weber
   3. Henry
   4. Gauss
10. Q10. Gravitational potential energy on Earth surface relative to infinity is
    1. +GMm/R
    2. -GMm/R
    3. -GMm/R²
    4. 0
11. Q11. The dimensional formula of Planck's constant is
    1. [ML²T⁻¹]
    2. [MLT⁻¹]
    3. [ML²T⁻²]
    4. [MLT⁻²]
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 satellite at height h has orbital speed
    1. √(GM/(R+h))
    2. √(GMR)
    3. √(GM/h)
    4. √(2GM/R)
14. Q14. 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
15. Q15. 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
16. Q16. Young's modulus has dimensions of
    1. Force
    2. Pressure
    3. Energy
    4. Power
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. Which has the highest first ionisation energy?
    1. Na
    2. Mg
    3. Al
    4. Si
19. Q19. The hybridisation of carbon in CO₂ is
    1. sp
    2. sp²
    3. sp³
    4. sp³d
20. Q20. Markovnikov's rule applies to
    1. Free-radical addition
    2. Electrophilic addition to alkenes
    3. Nucleophilic substitution
    4. Elimination
21. Q21. Number of moles in 22 g of CO₂ (M=44)
    1. 0.5
    2. 1
    3. 2
    4. 0.25
22. Q22. SN1 reactions proceed via
    1. Carbocation intermediate
    2. Carbanion
    3. Free radical
    4. Concerted bimolecular
23. Q23. Which has the highest first ionisation energy?
    1. Na
    2. Mg
    3. Al
    4. Si
24. Q24. Aldol condensation involves
    1. α-hydrogen of carbonyl
    2. β-hydrogen
    3. OH group
    4. Carbonyl O
25. Q25. Bond order of O₂ from MO theory
    1. 1
    2. 1.5
    3. 2
    4. 2.5
26. Q26. Equilibrium constant Kp for a reaction with Δn=0
    1. Kc
    2. Kc·RT
    3. Kc/(RT)
    4. 0
27. Q27. The oxidation state of Cr in K2Cr2O7 is
    1. +3
    2. +5
    3. +6
    4. +7
28. Q28. Aspirin is chemically
    1. Salicylic acid
    2. Acetyl salicylic acid
    3. Methyl salicylate
    4. Phenol
29. Q29. Galvanic cell converts
    1. Electrical → chemical
    2. Chemical → electrical
    3. Heat → electrical
    4. Light → electrical
30. Q30. Which is most acidic?
    1. Phenol
    2. Ethanol
    3. Methanol
    4. Water
31. Q31. Which is a Lewis acid?
    1. NH₃
    2. BF₃
    3. H₂O
    4. OH⁻
32. Q32. Name reaction that converts benzene to nitrobenzene
    1. Friedel-Crafts
    2. Nitration with HNO₃/H₂SO₄
    3. Sandmeyer
    4. Wurtz
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. The IUPAC name of CH3-CH(OH)-CH3 is
    1. Propan-1-ol
    2. Propan-2-ol
    3. 2-Methylpropanol
    4. Isopropanal
35. Q35. If A is a 3×3 matrix with det A=2, det(2A) =
    1. 4
    2. 8
    3. 16
    4. 32
36. Q36. Solution of dy/dx = y is
    1. y = e^x + C
    2. y = Ce^x
    3. y = ln x + C
    4. y = x²
37. Q37. lim(x→0) sin(x)/x =
    1. 0
    2. 1
    3. ∞
    4. undefined
38. Q38. Derivative of x³ is
    1. 3x²
    2. x²
    3. 3x
    4. x⁴/4
39. Q39. If sinθ = 3/5 in QI, then cosθ =
    1. 3/5
    2. 4/5
    3. 5/3
    4. 5/4
40. Q40. Number of arrangements of letters of "BANANA"
    1. 60
    2. 120
    3. 360
    4. 720
41. Q41. If f(x)=x²+1, then f(f(2))
    1. 5
    2. 17
    3. 26
    4. 25
42. Q42. Sum of roots of x² − 5x + 6 = 0
    1. 5
    2. 6
    3. -5
    4. -6
43. Q43. The slope of line 2x + 3y = 6 is
    1. 2/3
    2. -2/3
    3. 3/2
    4. -3/2
44. Q44. ∫(1/x) dx =
    1. ln|x|+C
    2. x ln x+C
    3. 1/x²+C
    4. x+C
45. Q45. Sum of first n natural numbers is
    1. n^2/2
    2. n(n+1)/2
    3. n(n-1)/2
    4. (n+1)^2/2
46. Q46. 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
47. Q47. Distance between (1,2) and (4,6)
    1. 3
    2. 4
    3. 5
    4. 7
48. Q48. Area of triangle with vertices (0,0),(4,0),(0,3)
    1. 6
    2. 12
    3. 7
    4. 5
49. Q49. log₂ 32 =
    1. 4
    2. 5
    3. 6
    4. 8
50. Q50. Mean of first 10 natural numbers
    1. 5
    2. 5.5
    3. 6
    4. 10