A famous relation in physics with many printing errors, relates the moving mass ‘m’ with rest mass for a moving object with speed V is printed as
$m = \frac{n_{o}^{2}}{\sqrt{1 - \frac{b}{c^{2}}}}$ . The dimensional formula of n_o and b are respectively (c is speed of light)

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$[M], [{LT}^{- 1}]$

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

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

$[M^{1 / 2}], [{LT}^{- 1}]$

answer is C.

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Detailed Solution

Dimensional formula of b = Dimensional
formula of c²
$b = {({LT}^{- 1})}^{2} = L^{2} T^{- 2}$
Dimensional formula of
$n_{o}^{2} = m \Rightarrow n_{o} = \sqrt{m} = [M^{1 / 2}]$

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