Recall the definition of latent heat

Latent heat (specific latent heat) is defined as the amount of heat required to change the phase of unit mass of a substance without changing its temperature.

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

where:

• $Q$ = heat energy
• $m$ = mass

Write dimensions of heat energy

Heat is a form of energy, so its dimensions are the same as work/energy:

$[Q] = [ML^2T^{-2}]$

Divide by mass

Since

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

its dimensional formula is

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

Match with the options

The correct option is:

$\boxed{[M^0L^2T^{-2}]}$

This corresponds to Option C.

Comparison with stored answer

Stored correct answer: C

My derived answer: C

Hence, they agree.