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: \([M^0L^2T^{-2}]\).