JEE MAIN - Physics (2025 - 28th January Evening Shift - No. 14)

Match List - I with List - II.

List - I List - II
(A) Angular Impulse (I) M0 L2 T-2
(B) Latent Heat (II) M L2 T-3 A-1
(C) Electrical resistivity (III) M L2 T-1
(D) Electromotive force (IV) M L3 T-3 A-2

Choose the correct answer from the options given below:

(A)-(II), (B)-(I), (C)-(IV), (D)-(III)
(A)-(I), (B)-(III), (C)-(IV), (D)-(II)
(A)-(III), (B)-(I), (C)-(IV), (D)-(II)
(A)-(III), (B)-(I), (C)-(II), (D)-(IV)

Explanation

Matching the quantities from List - I with their correct dimensions from List - II is crucial to understanding their physical significance. Here is the correct matching:

(A) Angular Impulse: The dimensions of angular impulse are equivalent to those of angular momentum, represented as $$M L^2 T^{-1}$$. Hence, (A) corresponds to (III).

(B) Latent Heat: Latent heat has dimensions of energy per unit mass, which simplifies to $$M^0 L^2 T^{-2}$$. Hence, (B) corresponds to (I).

(C) Electrical resistivity: Electrical resistivity has the dimensions of resistance multiplied by length, which can be represented as $$M L^3 T^{-3} A^{-2}$$. Hence, (C) corresponds to (IV).

(D) Electromotive force: Electromotive force (emf) is similar to electric potential difference and has dimensions $$M L^2 T^{-3} A^{-1}$$. Hence, (D) corresponds to (II).

Therefore, the correct answer is Option C:

(A)-(III)

(B)-(I)

(C)-(IV)

(D)-(II)

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