Daily MCQ Paper — 19 April 2026

April 19, 2026 ·

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Daily Practice Sheet — 50 Questions

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Daily MCQ Paper — 19 April 2026

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

Q1. Two capacitors of 4 µF and 6 µF are connected in series. The equivalent capacitance is
1. 10 µF
2. 2.4 µF
3. 24 µF
4. 5 µF
Q2. Energy stored in a capacitor of capacitance C charged to voltage V is
1. CV
2. CV²
3. ½ CV²
4. ½ C/V
Q3. A parallel-plate capacitor with plate area A and separation d has capacitance C. If d is halved, C becomes
1. C/2
2. C
3. 2C
4. 4C
Q4. When a dielectric of constant K is fully inserted between plates of an isolated charged parallel-plate capacitor, the energy
1. Increases K times
2. Decreases K times
3. Remains same
4. Becomes K² times
Q5. Two identical capacitors, charged to potentials V1 and V2, are connected in parallel. Common potential is
1. (V1+V2)/2
2. V1V2/(V1+V2)
3. (V1V2)/2
4. (V1-V2)/2
Q6. A magnetic dipole in a uniform field B has potential energy U = -m·B. It is in stable equilibrium when
1. m parallel to B
2. m antiparallel to B
3. m perpendicular to B
4. m at 45° to B
Q7. 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
Q8. Torque on a magnetic dipole of moment m in a uniform field B making angle θ is
1. mB cos θ
2. mB sin θ
3. mB tan θ
4. mB
Q9. At resonance in a series LCR circuit, the impedance is
1. Maximum
2. Equal to R
3. Equal to XL
4. Zero
Q10. The resonance frequency of a series LCR circuit with L = 2 H and C = 8 µF is approximately
1. 40 Hz
2. 25 Hz
3. 100 Hz
4. 400 Hz
Q11. The Quality factor (Q) of a series LCR circuit at resonance is
1. ω₀L/R
2. R/ω₀L
3. RC
4. ω₀/R
Q12. Two resistors 6 Ω and 3 Ω in parallel give
1. 9 Ω
2. 2 Ω
3. 3 Ω
4. 4.5 Ω
Q13. 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
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
Q15. 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
Q16. The dimensional formula of Plancks constant is
1. [ML2T-1]
2. [MLT-1]
3. [ML2T-2]
4. [ML-1T]
Q17. The dimensional formula of Planck's constant is
1. [ML²T⁻¹]
2. [MLT⁻¹]
3. [ML²T⁻²]
4. [MLT⁻²]
Q18. According to Crystal Field Theory, in an octahedral complex, the d-orbitals split into
1. t2g (lower) and eg (higher)
2. eg (lower) and t2g (higher)
3. Three sets
4. Two equal sets
Q19. The magnitude of crystal field splitting in tetrahedral vs octahedral (with same metal/ligand) is
1. Equal
2. Δt = (4/9)Δo
3. Δt = (9/4)Δo
4. Δt = 2Δo
Q20. The spin-only magnetic moment formula is
1. µ = √(n(n+2)) BM
2. µ = n BM
3. µ = √n BM
4. µ = n² BM
Q21. Magnetic moment of [Fe(CN)6]³⁻ (low-spin d⁵, 1 unpaired) is approximately
1. √3 BM
2. √5 BM
3. √15 BM
4. 5.92 BM
Q22. In a tetrahedral crystal field, the d-orbitals split into
1. e (lower) and t2 (higher)
2. t2 (lower) and e (higher)
3. t2g and eg
4. No splitting
Q23. Lanthanide contraction refers to the
1. Increase in atomic radii across the series
2. Decrease in atomic and ionic radii across La to Lu
3. Constancy of radii
4. Random variation
Q24. The most common oxidation state of lanthanides is
1. +2
2. +3
3. +4
4. +5
Q25. One major consequence of lanthanide contraction is
1. Zr and Hf have similar atomic radii
2. Increase in metallic character
3. Higher reactivity of 5d elements
4. None
Q26. The actinide series begins with which element?
1. Thorium (Z=90)
2. Actinium (Z=89)
3. Uranium (Z=92)
4. Lanthanum (Z=57)
Q27. Compared to lanthanides, actinide contraction is
1. Smaller
2. Greater (5f shielding poorer)
3. Same
4. Reverse
Q28. Which actinide shows the maximum oxidation state of +7?
1. U
2. Np
3. Pu
4. Am
Q29. The pH of 0.001 M HCl is
1. 2
2. 3
3. 4
4. 11
Q30. Brown ring test confirms
1. NO2-
2. NO3-
3. Cl-
4. SO4^2-
Q31. The hybridisation of carbon in CO₂ is
1. sp
2. sp²
3. sp³
4. sp³d
Q32. 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
Q33. SN1 reactions proceed via
1. Carbocation intermediate
2. Carbanion
3. Free radical
4. Concerted bimolecular
Q34. Peptide bond between amino acids is a
1. C-N bond formed by condensation
2. C-O bond
3. C-C bond
4. S-S bond
Q35. The number of 5-digit numbers with all distinct digits using {0..9} is
1. 9 × 9P4
2. 10P5
3. 9 × 10P4
4. 9P5
Q36. The number of ways to arrange the letters of MISSISSIPPI is
1. 11!/(4! 4! 2!)
2. 11!
3. 11!/(4! 2!)
4. 11!/2!
Q37. Number of ways to choose a committee of 5 from 12 people is
1. 12P5
2. 12C5 = 792
3. 12!/5!
4. 12 × 11 × 10
Q38. The general term in the expansion of (x + a)ⁿ is Tr+1 =
1. nCr xⁿ⁻ʳ aʳ
2. nCr xʳ aⁿ⁻ʳ
3. nCr (-x)ʳ
4. xⁿ⁻ʳ aʳ
Q39. 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
Q40. The middle term in the expansion of (1 + x)¹⁰ is
1. T5
2. T6 (i.e., 6th term, r=5)
3. T7
4. T11
Q41. The greatest coefficient in the expansion of (1 + x)²ⁿ is
1. nCn
2. 2nCn
3. 2nCn-1
4. 2nC1
Q42. Sum of binomial coefficients in expansion of (1 + x)ⁿ is
1. 2ⁿ
2. 3ⁿ
3. n²
4. n!
Q43. lim(x→0) sin(x)/x =
1. 0
2. 1
3. ∞
4. undefined
Q44. 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
Q45. The slope of line 2x + 3y = 6 is
1. 2/3
2. -2/3
3. 3/2
4. -3/2
Q46. Sum of roots of x² − 5x + 6 = 0
1. 5
2. 6
3. -5
4. -6
Q47. By multinomial theorem, the number of terms in (x + y + z)^n is
1. n + 1
2. n+2 choose 2
3. n+1 choose 2
4. n^2
Q48. Sum of cubes of first n natural numbers equals
1. n(n+1)/2
2. n(n+1)(2n+1)/6
3. [n(n+1)/2]²
4. n²(n+1)
Q49. Sum of squares 1^2 + 2^2 + … + n^2 equals
1. n(n+1)/2
2. n(n+1)(2n+1)/6
3. [n(n+1)/2]^2
4. n^3
Q50. cos(60°) =
1. ½
2. √3/2
3. 1/√2
4. 1