The dimensional formula of latent heat is

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Solution

Q.
The dimensional formula of latent heat is [2024]

1 $[M^{0} L T^{- 2}]$

2 $[M L T^{- 2}]$

3 $[M^{0} L^{2} T^{- 2}]$

4 $[M L^{2} T^{- 2}]$

Ans.
(3)

$Q = m L . \Rightarrow [L] = \frac{[Q]}{[m]}$

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

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