Daily MCQ Paper — 29 April 2026

Daily MCQ Paper — 29 April 2026

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

1. Q1. Resonance in a series LCR circuit occurs when
   1. XL = 0
   2. XC = 0
   3. XL = XC
   4. R = 0
2. Q2. 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
3. Q3. 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
4. Q4. 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
5. Q5. A NAND gate output is HIGH unless
   1. Both inputs LOW
   2. Both inputs HIGH
   3. Either input HIGH
   4. Either input LOW
6. Q6. Lenz's law is a consequence of conservation of
   1. Charge
   2. Momentum
   3. Energy
   4. Mass
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. In photoelectric effect, stopping potential depends on
   1. Intensity only
   2. Frequency only
   3. Both
   4. Neither
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 wire of resistance R is stretched to double its length. New resistance is
    1. R
    2. 2R
    3. 4R
    4. R/2
12. Q12. 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
13. Q13. 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
14. Q14. 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
15. Q15. 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
16. Q16. A satellite at height h has orbital speed
    1. √(GM/(R+h))
    2. √(GMR)
    3. √(GM/h)
    4. √(2GM/R)
17. Q17. Gravitational potential energy on Earth surface relative to infinity is
    1. +GMm/R
    2. -GMm/R
    3. -GMm/R²
    4. 0
18. Q18. 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
19. Q19. The reagent that converts an amide to amine with one less carbon is
    1. LiAlH4
    2. Br2/KOH (Hofmann bromamide)
    3. SOCl2
    4. LDA
20. Q20. 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
21. Q21. Aldehydes are oxidised by Tollens' reagent to give
    1. Alcohol
    2. Carboxylic acid (silver mirror forms)
    3. Ester
    4. Ether
22. Q22. The first transition series ends with
    1. Zn
    2. Cu
    3. Fe
    4. Mn
23. Q23. 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
24. Q24. The coordination number of central atom in [Co(NH3)6]3+ is
    1. 3
    2. 4
    3. 5
    4. 6
25. Q25. 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
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. Number of moles in 22 g of CO₂ (M=44)
    1. 0.5
    2. 1
    3. 2
    4. 0.25
29. Q29. Cannizzaro reaction is given by
    1. HCHO
    2. CH3CHO
    3. CH3COCH3
    4. C2H5CHO
30. Q30. Number of stereoisomers possible for 2-bromobutane is
    1. 1
    2. 2
    3. 3
    4. 4
31. Q31. Aldol condensation involves
    1. α-hydrogen of carbonyl
    2. β-hydrogen
    3. OH group
    4. Carbonyl O
32. Q32. The oxidation state of Cr in K2Cr2O7 is
    1. +3
    2. +5
    3. +6
    4. +7
33. Q33. The hybridisation of carbon in CO₂ is
    1. sp
    2. sp²
    3. sp³
    4. sp³d
34. Q34. The pH of 0.001 M HCl is
    1. 2
    2. 3
    3. 4
    4. 11
35. Q35. 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
36. Q36. The eccentricity of ellipse x²/25 + y²/16 = 1 is
    1. 3/5
    2. 4/5
    3. 3/4
    4. 5/4
37. Q37. ∫(0 to π/2) sin x dx equals
    1. 0
    2. 1
    3. π/2
    4. 2
38. Q38. Maximum value of y = sin x + cos x is
    1. 1
    2. √2
    3. 2
    4. √3
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. ∫ 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
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. The area enclosed by y = x² and y = x is
    1. 1/2
    2. 1/3
    3. 1/6
    4. 1
44. Q44. Slope of tangent to y = ln x at x = 1 is
    1. 0
    2. 1
    3. e
    4. undefined
45. Q45. The derivative of sin^2 x is
    1. 2 sin x
    2. 2 sin x cos x
    3. cos^2 x
    4. -sin 2x
46. Q46. Mean of first 10 natural numbers
    1. 5
    2. 5.5
    3. 6
    4. 10
47. Q47. Eccentricity of a parabola is
    1. 0
    2. <1
    3. =1
    4. >1
48. Q48. det of identity matrix of order n is
    1. 0
    2. 1
    3. n
    4. n!
49. Q49. lim x->0 (sin x)/x =
    1. 0
    2. 1
    3. infinity
    4. Undefined
50. Q50. 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)