Match List-I with List-II List-I (A) Angular Impulse (B) Latent Heat (C) Electrical resistivity (D) Electromotive force List-II (I) $\left[\mathrm{M}^{0} \mathrm{~L}^{2} \mathrm{~T}^{-2}\right]$ (II) $\left[\mathrm{M} \mathrm{L}^{2} \mathrm{~T}^{-3} \mathrm{~A}^{-1}\right]$ (III) $\left[\mathrm{M} \mathrm{L}^{2} \mathrm{~T}^{-1}\right]$ (IV) $\left[\mathrm{M} \mathrm{L}^{3} \mathrm{~T}^{-3} \mathrm{~A}^{-2}\right]$ Choose the correct answer from the options given below :

**Angular impulse** equals the change in angular momentum : Matches (III). **Latent heat** is energy per unit mass: Matches (I). **Electrical resistivity** , where resistance : Matches (IV). **Electromotive force** has the dimensions of potential difference, energy per unit charge: Matches (II). Th…

JEE Main · 2025 · 28 Jan 2025 · Shift 2 · Units & Measurement

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Match List-I with List-II

List-I
(A) Angular Impulse
(B) Latent Heat
(C) Electrical resistivity
(D) Electromotive force

List-II
(I)

[M^{0} L^{2} T^{- 2}]

(II)

[M L^{2} T^{- 3} A^{- 1}]

(III)

[M L^{2} T^{- 1}]

(IV)

[M L^{3} T^{- 3} A^{- 2}]

Choose the correct answer from the options given below :

Answer: A → III, B → I, C → IV, D → II

Solution

Angular impulse equals the change in angular momentum

L

L = I ω = [M L^{2}] [T^{- 1}] = [M L^{2} T^{- 1}]

Matches (III).

Latent heat is energy per unit mass:

[Q / m] = \frac{[ M L ^{2} T ^{- 2} ]}{[ M ]} = [M^{0} L^{2} T^{- 2}]

Matches (I).

Electrical resistivity

ρ = \frac{R A}{ℓ}

, where resistance

R = [M L^{2} T^{- 3} A^{- 2}]

ρ = [M L^{2} T^{- 3} A^{- 2}] \times \frac{[ L ^{2} ]}{[ L ]} = [M L^{3} T^{- 3} A^{- 2}]

Matches (IV).

Electromotive force has the dimensions of potential difference, energy per unit charge:

[EMF] = \frac{[ M L ^{2} T ^{- 2} ]}{[ A T ]} = [M L^{2} T^{- 3} A^{- 1}]

Matches (II).

The correct match is (A)-(III), (B)-(I), (C)-(IV), (D)-(II).

JEE Main · 2025 · 28 Jan 2025 · Shift 2 · Match the columns

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JEE Main · 2025 · 28 Jan 2025 · Shift 2 · Units & Measurement

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