$S^{2} = {a t}^{4}$
Here $S$ is measured in metres, $t$ in second. Then the unit of $a$ is:

m^{2} s^{4}

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m^{2} s^{- 4}

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{m s}^{2}

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{m s}^{- 2}

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Solution

The correct option is B $m^{2} s^{- 4}$
$S^{2} = a t^{4}$
$M^{0} L^{2} T^{0} = a (M^{0} L^{0} T^{4})$
$a = M^{0} L^{2} T^{- 4}$
$\Rightarrow a = m^{2} s^{- 4}$

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