JEE Physics 2025 Question with Solution

Given: Match the quantities in List-I with their dimensional formulas in List-II.

Find: The correct matching and hence the correct option.

Use the dimensional formulas of each physical quantity:

1. Permeability of free space $\mu_0$ has dimensional formula $[M L T^{-2} A^{-2}]$. So (A) matches with (III).
2. Magnetic field $B$ has dimensional formula $[M T^{-2} A^{-1}]$. So (B) matches with (II).
3. Magnetic moment has dimensional formula $[L^2 A]$. So (C) matches with (IV).
4. Torsional constant has dimensional formula $[M L^2 T^{-2}]$. So (D) matches with (I).

Therefore, the correct matching is (A)-(III), (B)-(II), (C)-(IV), (D)-(I).

The correct option is D.

Given: Four physical quantities and four dimensional formulas are listed.

Find: Which option gives the correct one-to-one matching.

Compare each quantity directly with the listed dimensions:

• Permeability of free space corresponds to $[M L T^{-2} A^{-2}]$, which is (III).
• Magnetic field corresponds to $[M T^{-2} A^{-1}]$, which is (II).
• Magnetic moment corresponds to $[L^2 A]$, which is (IV).
• Torsional constant corresponds to $[M L^2 T^{-2}]$, which is (I).

Hence the sequence is:

So the correct option is D.

Note: The second provided approach contains incorrect intermediate dimensional formulas for some quantities, but it still concludes with the same final matching. The first approach provides the consistent dimensional formulas used here.