Match List - I with List - II. List - I List - II (a) Torque (i) MLT ^ - 1 (b) Impulse (ii) MT ^ - 2 (c) Tension (iii) ML ^ 2 T ^ - 2 (d) Surface Tension (iv) MLT ^ - 2 Choose the most appropriate answer from the option given below :

(a)-(iii), (b)-(i), (c)-(iv), (d)-(ii)

(a)-(ii), (b)-(i), (c)-(iv), (d)-(iii)

(a)-(i), (b)-(iii), (c)-(iv), (d)-(ii)

(a)-(iii), (b)-(iv), (c)-(i), (d)-(ii)

Units and Measurements PYQ — JEE Main 2021 · 31 Aug · Shift 1 · Q57 with Solution

Match List - I with List - II.

Choose the most appropriate answer from the option given below :

View written solutionFree

Correct answer: A

Write dimensions of each physical quantity

We match each item in List-I with its dimensional formula.

(a) Torque

Torque $= \text{Force} \times \text{distance}$

Since dimensions of force are: $[F] = MLT^{-2}$

Therefore, $[\tau] = [F][L] = MLT^{-2} \cdot L = ML^2T^{-2}$

So, Torque $\to$ (iii).

(b) Impulse

Impulse $= \text{Force} \times \text{time}$

$[J] = [F][T] = MLT^{-2} \cdot T = MLT^{-1}$

So, Impulse $\to$ (i).

(c) Tension

Tension is a force.

Therefore, $[\text{Tension}] = MLT^{-2}$

So, Tension $\to$ (iv).

(d) Surface Tension

Surface tension $= \dfrac{\text{Force}}{\text{length}}$

$[S] = \frac{MLT^{-2}}{L} = MT^{-2}$

So, Surface Tension $\to$ (ii).
Final matching
$(a)\to(iii), \quad (b)\to(i), \quad (c)\to(iv), \quad (d)\to(ii)$
Compare with options

This corresponds to Option A.
Compare with stored correct answer

Stored correct answer is A, which matches our derived answer.