Question

The dimensional formula of latent heat is:

• A. $[M^0 L T^{-2}]$
• B. $[M L T^{-2}]$
• C. $[M^0 L^2 T^{-2}]$
• D. $[M L^2 T^{-2}]$

Answer 1

The Correct Option is C

Latent heat is the energy absorbed or released during a phase change per unit mass. Hence, it is specific energy:

$$\text{Latent Heat} = \frac{\text{Energy}}{\text{Mass}}.$$

The dimensional formula of energy is:

$$\text{Energy} = [ML^2T^{-2}].$$

Divide by mass:

$$\text{Latent Heat} = \frac{[ML^2T^{-2}]}{[M]} = [M^0L^2T^{-2}].$$

Final Answer: $[M^0L^2T^{-2}]$.