The dimensions of intensity of energy are :

M L^{2} T^{- 1}

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

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M T^{- 3}

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M L^{- 2} T^{3}

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Solution

The correct option is C $M T^{- 3}$
The energy flowing per unit area per unit time is called the intensity of energy.
The intensity of energy is (by formula):
$I = \frac{E}{A t}$
$I = \frac{[M^{1} L^{2} T^{- 2}]}{[L^{2}] [T^{1}]}$
$I = [M^{1} L^{0} T^{- 3}]$
Hence, the dimensional formula of intensity of energy is $[M T^{- 3}]$ .

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