The dimensional formula for latent heat is

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Question

(A) The formula for heat energy $Q$ required to change the state of a substance of mass $m$ is given by $Q = mL$,where $L$ is the latent heat.Therefor

Vedclass · Accepted Answer

${M^0}{L^2}{T^{ - 2}}$

Vedclass · Answer

(A) The formula for heat energy $Q$ required to change the state of a substance of mass $m$ is given by $Q = mL$,where $L$ is the latent heat.Therefore,the latent heat $L$ is given by $L = \frac{Q}{m}$.Since heat $Q$ is a form of energy,its dimensional formula is $[M^1 L^2 T^{-2}]$.The dimensional formula for mass $m$ is $[M^1]$.Substituting these into the formula for $L$:$L = \frac{[M^1 L^2 T^{-2}]}{[M^1]} = [M^0 L^2 T^{-2}]$.Thus,the correct option is $A$.

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