JEE Physics 2025 Question with Solution

Given: A matching question on dimensional analysis for Angular Impulse, Latent Heat, Electrical Resistivity, and Electromotive Force.

Find: The correct correspondence between List - I and List - II.

From the solution working:

• Angular Impulse $= ML^2T^{-1}$
• Latent Heat $= M^0L^2T^{-2}$
• Electrical Resistivity $= ML^3T^{-3}A^{-2}$
• Electromotive Force $= ML^2T^{-3}A^{-1}$

So the final matching is:

• (A) Angular Impulse $\to$ (IV)
• (B) Latent Heat $\to$ (I)
• (C) Electrical Resistivity $\to$ (III)
• (D) Electromotive Force $\to$ (II)

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

The solution explicitly marks the correct option as D. However, the listed option D in the listed options is (A)-(III), (B)-(I), (C)-(II), (D)-(IV), which does not match the worked solution. Since the solution is the primary source, the answer is recorded as D with this discrepancy noted.

Given: Physical quantities in List - I and dimensional formulas in List - II.

Find: Which option gives the correct matching.

Step 1: Recall each dimensional formula

Angular Impulse is the change in angular momentum, so its dimensional formula is

Hence (A) \to (IV).

Latent Heat is energy per unit mass. Since energy has dimensions

latent heat has dimensions

Hence (B) \to (I).

Electrical Resistivity is resistance multiplied by area divided by length. Voltage has dimensions

so resistance has dimensions

Then resistivity becomes

Hence (C) \to (III).

Electromotive Force has the same dimensions as potential difference, namely

Hence (D) \to (II).

Step 2: Write the final matching

Therefore, the worked solution corresponds to option D as marked on the solution's, even though the listed options text shows a mismatch.