QJEEM24Ph4c4c: JEE Main 2024 Physics - Class 11 JEEM24Ph4c4c Solution: Match List I with List II .tg…

To determine the correct matches between List I and List II, we need to consider the dimensional formulas of the given physical quantities.

1. Torque (τ) is defined as the product of force (F) and distance (d):

$\tau = F \cdot d$

The dimensional formula for torque is:

$[\tau] = [M^1 L^2 T^{-2}]$

Thus, Torque corresponds to IV.

1. Magnetic field (B) is derived from the relation involving force (F), charge (q), and velocity (V):

$F = qVB$

The dimensional formula for the magnetic field is:

$[B] = [M^1 T^{-2} A^{-1}]$

Thus, Magnetic field corresponds to III.

1. Magnetic moment (M) is the product of current (I) and area (A):

$M = I \cdot A$

The dimensional formula for the magnetic moment is:

$[M] = [L^2 A^1]$

Thus, Magnetic moment corresponds to II.

1. Permeability of free space (μ₀) has the dimensional formula:

$[μ₀] = [M^1 L^1 T^{-2} A^{-2}]$

Thus, Permeability of free space corresponds to I.

Based on the above analysis, the correct matches are:

• A. Torque – IV


• B. Magnetic Field – III


• C. Magnetic Moment – II


• D. Permeability of free space – I

Therefore, the correct option is Option D:

A-IV, B-III, C-II, D-I.