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Match List I with List II.
| List I | List 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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