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Question 1

Match List I with List II.

List IList II
(A) Torque(I) Nm s$$^{-1}$$
(B) Stress(II) J kg$$^{-1}$$
(C) Latent Heat(III) Nm
(D) Power(IV) Nm$$^{-2}$$

Choose the correct answer from the options given below:

Torque:

$$\tau=r\times F$$

Unit:

$$\text{N}\cdot\text{m}$$

So, (A) matches with (III)

Stress:

$$\text{Stress}=\frac{\text{Force}}{\text{Area}}$$

$$=\frac{\text{N}}{\text{m}^2}=\text{N m}^{-2}$$

So, (B) matches with (IV)

Latent heat:

Latent heat is heat per unit mass:

$$L=\frac{Q}{m}$$

$$=\frac{\text{J}}{\text{kg}}$$

So, (C) matches with (II)

Power:

$$P=\frac{\text{Work}}{\text{Time}}=\frac{\text{J}}{\text{s}}=\text{W}$$

Also,

$$\text{W}=\text{N m s}^{-1}$$

So, (D) matches with (I)

Final matching:

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

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