Daily MCQ Paper — 25 March 2026

Daily MCQ Paper — 25 March 2026

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

1. Q1. Magnetic field on the axis of a circular loop at distance x from centre is?
   1. μ0 I a² / [2(a² + x²)^(3/2)]
   2. μ0 I / (2π x)
   3. μ0 I a / (2 x²)
   4. μ0 I a²
2. Q2. A galvanometer is converted to a voltmeter by connecting?
   1. A high resistance in series
   2. A low resistance in parallel
   3. A diode in series
   4. A capacitor in parallel
3. Q3. The magnetic field due to an infinitely long straight current-carrying wire at perpendicular distance r is given by?
   1. B = μ0 I / (2π r)
   2. B = μ0 I r / 2π
   3. B = μ0 I / (4π r²)
   4. B = μ0 I r²
4. Q4. The magnetic field at the centre of a circular loop of radius a carrying current I is?
   1. μ0 I / (2 a)
   2. μ0 I a / 2
   3. μ0 I / (4π a)
   4. μ0 I / a²
5. Q5. The magnetic field inside a long ideal solenoid with n turns per unit length is?
   1. B = μ0 n I
   2. B = μ0 I / n
   3. B = μ0 N I r
   4. B = μ0 I L
6. Q6. Magnetic field inside a toroid of N total turns at mean radius r is?
   1. μ0 N I / (2π r)
   2. μ0 N I r
   3. μ0 I / (2π r)
   4. μ0 N²I
7. Q7. The Lorentz force on a charge q moving with velocity v in field B is?
   1. F = q (v × B)
   2. F = q B v
   3. F = q v B sin θ k̂
   4. F = q v / B
8. Q8. Two parallel currents in the same direction experience?
   1. Mutual attraction
   2. Mutual repulsion
   3. No force
   4. Torque only
9. Q9. A charged particle of mass m and charge q moving perpendicular to a magnetic field B traces a circle of radius?
   1. r = m v / (q B)
   2. r = q B / (m v)
   3. r = q v B
   4. r = m B / (q v)
10. Q10. Torque on a current loop of magnetic moment μ in field B is?
    1. τ = μ × B
    2. τ = μ · B
    3. τ = μ B²
    4. τ = μ / B
11. Q11. The cyclotron period of a charged particle is?
    1. T = 2π m / (q B)
    2. T = q B / m
    3. T = 2π q / (m B)
    4. T = m / (q B)
12. Q12. Potential energy of a magnetic dipole in field B is?
    1. U = − μ · B
    2. U = μ × B
    3. U = μ B
    4. U = μ / B
13. Q13. A galvanometer is converted to an ammeter by connecting?
    1. A low-resistance shunt in parallel
    2. A high resistance in series
    3. A capacitor in series
    4. An inductor in parallel
14. Q14. An electron and a proton enter a magnetic field with the same speed perpendicular to B. Their radii of circular paths are in ratio (m_e ≪ m_p)?
    1. r_e / r_p = m_e / m_p
    2. r_e / r_p = m_p / m_e
    3. 1
    4. q_e / q_p
15. Q15. Force per unit length between two parallel wires carrying currents I1 and I2 separated by d is?
    1. μ0 I1 I2 / (2π d)
    2. μ0 I1 I2 d
    3. μ0 / (I1 I2 d)
    4. μ0 (I1 + I2) / d
16. Q16. Biot-Savart law in vector form is dB = ?
    1. (μ0/4π) I (dl × r̂) / r²
    2. (μ0/4π) I dl / r
    3. I dl × B
    4. q v × B
17. Q17. A solenoid of n=1000 turns/m carries 2 A. The field inside is approximately?
    1. 2.51 × 10^-3 T
    2. 1.25 × 10^-3 T
    3. 5.0 × 10^-3 T
    4. 0.5 T
18. Q18. Sucrose on hydrolysis gives?
    1. Glucose + Fructose
    2. Glucose + Galactose
    3. Two glucose units
    4. Glucose + Mannose
19. Q19. Carbohydrates are classified into monosaccharides, disaccharides, oligosaccharides and?
    1. Polysaccharides
    2. Lipids
    3. Proteins
    4. Nucleotides
20. Q20. Cellulose is a polysaccharide with?
    1. β(1→4) glucose linkages
    2. α(1→4) glucose linkages
    3. α(1→6) glucose linkages
    4. β(2→1) fructose linkages
21. Q21. Glycogen, the animal storage polysaccharide, is most concentrated in?
    1. Liver and skeletal muscle
    2. Bone marrow
    3. Adipose tissue
    4. Plasma
22. Q22. Glucose is a?
    1. Aldohexose
    2. Ketohexose
    3. Aldopentose
    4. Ketopentose
23. Q23. Sucrose is a non-reducing sugar because?
    1. Both anomeric carbons are involved in the glycosidic bond
    2. It has no -OH groups
    3. It is a polysaccharide
    4. It is a ketohexose only
24. Q24. Lactose, found in milk, consists of?
    1. Galactose + Glucose
    2. Glucose + Glucose
    3. Glucose + Fructose
    4. Galactose + Fructose
25. Q25. α-D-glucose and β-D-glucose differ in configuration at?
    1. C1 (anomeric carbon)
    2. C2
    3. C3
    4. C5
26. Q26. The phenomenon of change in optical rotation when α-D-glucose is dissolved in water is called?
    1. Mutarotation
    2. Racemisation
    3. Tautomerisation
    4. Inversion
27. Q27. Starch consists of?
    1. Amylose and amylopectin
    2. Cellulose and lignin
    3. Glycogen and inulin
    4. Maltose only
28. Q28. The cyclic 6-membered ring form of glucose is called?
    1. Pyranose
    2. Furanose
    3. Heterose
    4. Hexose
29. Q29. Maltose, an intermediate in starch hydrolysis, consists of?
    1. Two glucose units linked α(1→4)
    2. Glucose + fructose
    3. Galactose + glucose
    4. Two fructose units
30. Q30. Amylose has only α(1→4) linkages; amylopectin additionally has α(1→6) branches every?
    1. 24-30 glucose units
    2. 5 units
    3. 100 units
    4. 3 units
31. Q31. Glucose Haworth projection in the α form has the C1 -OH group?
    1. Below the ring plane
    2. Above the ring plane
    3. In the ring
    4. Replaced by H
32. Q32. Reducing sugars give a positive test with?
    1. Tollens' reagent
    2. Litmus paper
    3. Starch-iodide
    4. Brady's reagent only
33. Q33. Fructose is a?
    1. Ketohexose
    2. Aldohexose
    3. Aldopentose
    4. Ketopentose
34. Q34. Chitin, the structural polysaccharide of insect exoskeleton, is a polymer of?
    1. N-acetyl glucosamine
    2. D-glucose
    3. D-fructose
    4. Galactose
35. Q35. The cross product a × b is?
    1. |a||b| sin θ n̂
    2. |a||b| cos θ
    3. a · b
    4. a + b
36. Q36. The dot product a·b equals?
    1. |a||b| cos θ
    2. |a||b| sin θ
    3. |a×b|
    4. a + b
37. Q37. The cross product is?
    1. Anticommutative
    2. Commutative
    3. Associative
    4. Distributive only on left
38. Q38. The vector triple product a × (b × c) equals?
    1. (a · c) b − (a · b) c
    2. (a · b) c − (a · c) b
    3. (b · c) a − (a · b) c
    4. a (b · c) − (b × c)
39. Q39. Area of a parallelogram with adjacent vectors a and b is?
    1. |a × b|
    2. a · b
    3. |a||b|
    4. ½ |a × b|
40. Q40. The scalar triple product [a b c] equals?
    1. a · (b × c)
    2. a × (b × c)
    3. (a × b)·(b × c)
    4. a + b + c
41. Q41. Area of a triangle with two sides a and b is?
    1. ½ |a × b|
    2. |a × b|
    3. a · b
    4. ½ (a + b)
42. Q42. Volume of a tetrahedron with three coterminous edges a, b, c is?
    1. (1/6) |[a b c]|
    2. ½ |[a b c]|
    3. |[a b c]|
    4. (1/3) |a × b|
43. Q43. Volume of a parallelepiped with edges a, b, c is?
    1. |[a b c]|
    2. |a × b|
    3. ½ |a × b × c|
    4. |a + b + c|
44. Q44. The projection of vector a on b is?
    1. (a · b) / |b|
    2. (a × b) / |b|
    3. |a| / |b|
    4. a · b
45. Q45. If a × b = 0 with a ≠ 0 and b ≠ 0, then a and b are?
    1. Parallel or anti-parallel
    2. Perpendicular
    3. Equal in magnitude
    4. Of unit length
46. Q46. If a · b = 0 with a ≠ 0 and b ≠ 0, then a and b are?
    1. Perpendicular
    2. Parallel
    3. Equal
    4. Anti-parallel
47. Q47. The unit vector along a is?
    1. â = a / |a|
    2. â = a × |a|
    3. â = a + 1
    4. â = |a| / a
48. Q48. Work done by a constant force F through displacement d is?
    1. W = F · d
    2. W = F × d
    3. W = |F| |d|
    4. W = F + d
49. Q49. If a, b, c are coplanar then [a b c] equals?
    1. 0
    2. 1
    3. |a||b||c|
    4. sin θ
50. Q50. Cosine of the angle between vectors a and b is given by?
    1. (a · b) / (|a||b|)
    2. |a × b| / (|a||b|)
    3. a · b
    4. (a · b) |a||b|