Daily MCQ Paper — 24 March 2026

Daily MCQ Paper — 24 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. 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
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. 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
5. Q5. 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
6. Q6. 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
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. 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)
9. Q9. 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
10. Q10. Two parallel currents in the same direction experience?
    1. Mutual attraction
    2. Mutual repulsion
    3. No force
    4. Torque only
11. Q11. 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
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. 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)
15. Q15. 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
16. Q16. 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
17. Q17. 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
18. Q18. The cyclic 6-membered ring form of glucose is called?
    1. Pyranose
    2. Furanose
    3. Heterose
    4. Hexose
19. Q19. Carbohydrates are classified into monosaccharides, disaccharides, oligosaccharides and?
    1. Polysaccharides
    2. Lipids
    3. Proteins
    4. Nucleotides
20. Q20. 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
21. Q21. 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
22. Q22. Starch consists of?
    1. Amylose and amylopectin
    2. Cellulose and lignin
    3. Glycogen and inulin
    4. Maltose only
23. Q23. Reducing sugars give a positive test with?
    1. Tollens' reagent
    2. Litmus paper
    3. Starch-iodide
    4. Brady's reagent only
24. Q24. Glucose is a?
    1. Aldohexose
    2. Ketohexose
    3. Aldopentose
    4. Ketopentose
25. Q25. Lactose, found in milk, consists of?
    1. Galactose + Glucose
    2. Glucose + Glucose
    3. Glucose + Fructose
    4. Galactose + Fructose
26. Q26. α-D-glucose and β-D-glucose differ in configuration at?
    1. C1 (anomeric carbon)
    2. C2
    3. C3
    4. C5
27. Q27. Sucrose on hydrolysis gives?
    1. Glucose + Fructose
    2. Glucose + Galactose
    3. Two glucose units
    4. Glucose + Mannose
28. Q28. 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
29. Q29. Glycogen, the animal storage polysaccharide, is most concentrated in?
    1. Liver and skeletal muscle
    2. Bone marrow
    3. Adipose tissue
    4. Plasma
30. Q30. Fructose is a?
    1. Ketohexose
    2. Aldohexose
    3. Aldopentose
    4. Ketopentose
31. Q31. 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
32. Q32. 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
33. Q33. 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
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 dot product a·b equals?
    1. |a||b| cos θ
    2. |a||b| sin θ
    3. |a×b|
    4. a + b
36. Q36. The cross product a × b is?
    1. |a||b| sin θ n̂
    2. |a||b| cos 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 scalar triple product [a b c] equals?
    1. a · (b × c)
    2. a × (b × c)
    3. (a × b)·(b × c)
    4. a + b + c
39. Q39. 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|
40. Q40. 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|
41. Q41. Area of a parallelogram with adjacent vectors a and b is?
    1. |a × b|
    2. a · b
    3. |a||b|
    4. ½ |a × b|
42. Q42. 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)
43. Q43. 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)
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. Perpendicular
    2. Parallel
    3. Equal
    4. Anti-parallel
46. Q46. 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
47. Q47. 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
48. Q48. The unit vector along a is?
    1. â = a / |a|
    2. â = a × |a|
    3. â = a + 1
    4. â = |a| / a
49. Q49. 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|
50. Q50. If a, b, c are coplanar then [a b c] equals?
    1. 0
    2. 1
    3. |a||b||c|
    4. sin θ