Daily MCQ Paper — 9 April 2026

Daily MCQ Paper — 9 April 2026

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

1. Q1. The magnetic moment of a bar magnet of pole strength m and length 2l is
   1. m/2l
   2. 2ml
   3. m*l
   4. m/l
2. Q2. The horizontal component of Earths magnetic field at the equator is
   1. Maximum
   2. Zero
   3. Equal to vertical component
   4. Negative
3. Q3. Curies law states that magnetic susceptibility of a paramagnetic material is
   1. Directly proportional to absolute temperature
   2. Inversely proportional to absolute temperature
   3. Independent of temperature
   4. Proportional to T squared
4. Q4. The fundamental frequency of an organ pipe closed at one end of length L and sound speed v is
   1. v/(2L)
   2. v/(4L)
   3. v/L
   4. 2v/L
5. Q5. In a stationary wave on a string fixed at both ends, the fundamental mode has
   1. One node and one antinode
   2. Two nodes and one antinode
   3. Two antinodes and one node
   4. Three nodes
6. Q6. Curie temperature of iron, above which it loses ferromagnetism, is approximately
   1. 770 K
   2. 1043 K
   3. 1300 K
   4. 1700 K
7. Q7. The number of beats per second when two tuning forks of frequencies 256 Hz and 260 Hz are sounded together is
   1. 2
   2. 4
   3. 8
   4. 256
8. Q8. A source moves towards a stationary observer with velocity vs. The apparent frequency f equals (v = sound speed, f0 = source frequency)
   1. f0 (v + vs)/v
   2. f0 v/(v – vs)
   3. f0 (v – vs)/v
   4. f0 v/(v + vs)
9. Q9. An open organ pipe and a closed organ pipe of the same length will have fundamental frequencies in ratio
   1. 1:1
   2. 2:1
   3. 1:2
   4. 4:1
10. Q10. The wave equation for a transverse wave on a string is given by y = A sin(kx – omega*t). Wave speed equals
    1. A*omega
    2. omega/k
    3. k*omega
    4. A/k
11. Q11. Kepler's third law states T² is proportional to
    1. a
    2. a²
    3. a³
    4. 1/a
12. Q12. Two tuning forks of frequencies 256 Hz and 260 Hz produce beats at
    1. 2 Hz
    2. 4 Hz
    3. 8 Hz
    4. 256 Hz
13. Q13. Magnetic dipole moment of a current loop of N turns, area A and current I is
    1. NIA
    2. I/A
    3. NA/I
    4. N/IA
14. Q14. The Davisson-Germer experiment confirmed
    1. Particle nature of light
    2. Wave nature of electrons
    3. Quantization of charge
    4. Existence of neutron
15. Q15. The dimensional formula of Planck's constant is
    1. [ML²T⁻¹]
    2. [MLT⁻¹]
    3. [ML²T⁻²]
    4. [MLT⁻²]
16. Q16. Escape velocity from Earth's surface (R, g) is
    1. sqrt(gR)
    2. sqrt(2gR)
    3. sqrt(gR/2)
    4. 2sqrt(gR)
17. Q17. A simple astronomical telescope in normal adjustment has objective focal length f_o and eyepiece f_e; its magnifying power is
    1. f_o + f_e
    2. f_o/f_e
    3. f_e/f_o
    4. f_o·f_e
18. Q18. Lucas reagent (anhydrous ZnCl2 + concentrated HCl) distinguishes alcohols. Tertiary alcohols give turbidity
    1. Immediately
    2. In about 5 minutes
    3. Only on warming
    4. Never
19. Q19. The Reimer-Tiemann reaction converts phenol to
    1. Salicylaldehyde
    2. Benzaldehyde
    3. Salicylic acid
    4. Picric acid
20. Q20. The Sandmeyer reaction converts an aryldiazonium salt (ArN2+Cl-) to ArCl using
    1. CuCl/HCl
    2. Cu/HCl
    3. HCl alone
    4. SnCl2/HCl
21. Q21. The Kolbe-Schmitt reaction converts sodium phenoxide and CO2 (under pressure) to
    1. Salicylaldehyde
    2. Salicylic acid
    3. Picric acid
    4. Phthalic acid
22. Q22. Which test gives a silver mirror with aldehydes but not ketones
    1. Fehlings test
    2. Tollens test
    3. Lucas test
    4. Iodoform test
23. Q23. Fehlings solution gives a brick-red precipitate of which compound when treated with an aldehyde
    1. Cu
    2. Cu2O
    3. CuO
    4. Cu(OH)2
24. Q24. The Etard reaction converts toluene to benzaldehyde using
    1. PCC
    2. CrO2Cl2 in CS2
    3. KMnO4
    4. SeO2
25. Q25. The Rosenmund reduction converts an acyl chloride to an aldehyde using
    1. LiAlH4
    2. NaBH4
    3. H2 / Pd-BaSO4 (poisoned)
    4. Zn-Hg/HCl
26. Q26. The Gattermann reaction differs from Sandmeyer in using
    1. CuCN
    2. Cu/HCl in place of CuCl/HCl
    3. HBF4
    4. HNO2
27. Q27. Hinsberg reagent (benzenesulphonyl chloride) is used to distinguish
    1. Alkyl halides
    2. 1°, 2°, 3° amines
    3. Alcohols
    4. Aldehydes from ketones
28. Q28. Hess's law of constant heat summation is a consequence of
    1. First law
    2. Second law
    3. Third law
    4. Zeroth law
29. Q29. Galvanic cell converts
    1. Electrical → chemical
    2. Chemical → electrical
    3. Heat → electrical
    4. Light → electrical
30. Q30. A meso compound is one which
    1. Is optically active
    2. Has chiral centres but an internal plane of symmetry, hence optically inactive
    3. Has no chiral centres
    4. Is a racemic mixture
31. Q31. Which actinide shows the maximum oxidation state of +7?
    1. U
    2. Np
    3. Pu
    4. Am
32. Q32. Diborane (B₂H₆) has bonding involving
    1. Only 2c-2e bonds
    2. Two 3c-2e (banana) bonds + four 2c-2e bonds
    3. Only 3c-2e bonds
    4. Hydrogen bonds only
33. Q33. Standard hydrogen electrode (SHE) potential is taken as
    1. 0.00 V
    2. 1.00 V
    3. -1.00 V
    4. 0.34 V
34. Q34. Kohlrausch's law of independent migration of ions states that
    1. Lambda_m at infinite dilution = sum of ionic conductances
    2. Ionic mobility = constant
    3. Conductance increases with concentration
    4. None
35. Q35. The general solution of cos x = cos alpha is
    1. x = n*pi + alpha
    2. x = 2n*pi +/- alpha
    3. x = n*pi +/- alpha
    4. x = (2n+1)*pi/2 + alpha
36. Q36. The general solution of tan x = tan alpha is
    1. x = n*pi + alpha
    2. x = 2n*pi + alpha
    3. x = (2n+1)*pi/2 + alpha
    4. x = n*pi – alpha
37. Q37. The general solution of sin x = sin alpha is
    1. x = n*pi + alpha
    2. x = n*pi + (-1)^n * alpha
    3. x = 2n*pi + alpha
    4. x = n*pi – alpha
38. Q38. The circumradius R of triangle is
    1. a*b*c/(4*Delta)
    2. Delta/(a*b*c)
    3. 4*Delta/(a*b*c)
    4. a*b*c/Delta
39. Q39. The inradius r of a triangle is given by (s = semi-perimeter, Delta = area)
    1. Delta * s
    2. Delta / s
    3. s / Delta
    4. s * Delta
40. Q40. The area of triangle ABC in terms of two sides and included angle is
    1. (1/2) a b sin C
    2. (1/2) a b cos C
    3. a b sin C
    4. (1/2) a b tan C
41. Q41. In any triangle ABC, by the sine rule a/sin A equals
    1. R
    2. 2R
    3. 3R
    4. R/2
42. Q42. The exradius r1 opposite vertex A equals
    1. Delta/(s-a)
    2. Delta/s
    3. Delta/(s+a)
    4. (s-a)/Delta
43. Q43. A man at the foot of a tower observes the angle of elevation of its top as 60°. After walking 100 m back the angle becomes 30°. Height of tower (m)
    1. 50
    2. 50*sqrt 3
    3. 100*sqrt 3
    4. 100/sqrt 3
44. Q44. If A + B + C = pi (in a triangle), then tan A + tan B + tan C equals
    1. tan A tan B tan C
    2. sin A sin B sin C
    3. 1
    4. 0
45. Q45. Sum of binomial coefficients in expansion of (1 + x)ⁿ is
    1. 2ⁿ
    2. 3ⁿ
    3. n²
    4. n!
46. Q46. Equation of parabola with focus (a,0) and directrix x = -a is
    1. y² = 4ax
    2. x² = 4ay
    3. x² = -4ay
    4. y² = -4ax
47. Q47. If A is a 3×3 matrix with |A| ≠ 0, then A⁻¹ equals
    1. adj(A)/|A|
    2. |A|·adj(A)
    3. adj(A)·|A|²
    4. (adj A)⁻¹
48. Q48. In the expansion of (1+x)¹¹, the two middle terms are
    1. T6 and T7
    2. T5 and T6
    3. T6 and T8
    4. T11 and T12
49. Q49. If y = f(g(x)), then dy/dx equals
    1. f'(g(x))
    2. g'(x)
    3. f'(g(x))·g'(x)
    4. f'(x)·g'(x)
50. Q50. ∫ e^x dx =
    1. e^x + C
    2. e^x/x + C
    3. x·e^x + C
    4. e^(x+1)/(x+1) + C