If \( v=A t^{3}+\frac{B}{m} \), where \( m= \) mass, \( v= \) velocity and \( t= \) time. Then d...

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If \( v=A t^{3}+\frac{B}{m} \), where \( m= \) mass, \( v= \) velocity and \( t= \) time.
Then dimension of \( A \) in the given equation would be
(a) \( \mathrm{LT}^{-2} \)
(b) \( \mathrm{L}^{2} \mathrm{~T}^{-3} \)
(c) \( \mathrm{L}^{3} \mathrm{~T}^{-2} \)
(d) \( \mathrm{LT}^{-4} \)
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