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NEET PHYSICSMAGNETISM AND MATTERMedium

Question

Select the correct option based on the statements: Statement I: The magnetic field of a circular loop at very far away point on the axial line varies with distance as like that of a magnetic dipole. Statement II: The magnetic field due to magnetic dipole varies inversely with the square of the distance from the centre on the axial line.

A

Statement I is correct and Statement II is incorrect.

B

Statement I is incorrect and Statement II is correct.

C

Both Statement I and Statement II are correct.

D

Both Statement I and Statement II are incorrect.

Step-by-Step Solution

  1. Statement I Analysis: The magnetic field BB on the axis of a circular current loop of radius RR at a distance xx from the centre (where x≫Rx \gg R) is given by the approximation: B≈μ0IR22x3B \approx \frac{\mu_0 I R^2}{2x^3} Substituting the magnetic moment m=I(πR2)m = I(\pi R^2), we get: B≈μ0m2πx3B \approx \frac{\mu_0 m}{2\pi x^3} This shows the field varies as 1/x31/x^3, which is the characteristic behavior of a magnetic dipole. Thus, Statement I is correct.
  2. Statement II Analysis: The magnetic field due to a magnetic dipole (or bar magnet) on the axial line at distance rr is given by: Baxial=μ04π2mr3B_{\text{axial}} = \frac{\mu_0}{4\pi} \frac{2m}{r^3} This indicates that the field varies inversely with the cube of the distance (1/r31/r^3), not the square (1/r21/r^2). Inverse square dependence applies to electric monopoles (point charges), not dipoles. Thus, Statement II is incorrect.

Exam Context & Concepts Covered

This question aligns with the NEET PHYSICS syllabus, specifically targeting concepts from MAGNETISM AND MATTER. Mastering this topic is crucial for scoring well in the upcoming medical entrance examinations. Solving conceptually related problems will help you understand the nuances of these concepts and improve your problem-solving speed.

PHYSICSMAGNETISM AND MATTERselectcorrectoptionstatementsstatement

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