Solved: PHYSICS Question for NEET

NEET PHYSICSEasy

If force ( $F$ ), velocity ( $v$ ) and time ( $T$ ) are taken as fundamental units, then the dimensions of mass are

$[F v T^{-1}]$

$[F v T^{-2}]$

$[F v^{-1} T^{-1}]$

$[F v^{-1} T]$

Step-by-Step Solution

We know from Newton's second law of motion that Force = mass $\times$ acceleration. Acceleration can be expressed as velocity divided by time ( $a = \frac{v}{T}$ ). Therefore, $F = m \times \frac{v}{T}$ . Rearranging this formula to solve for mass ( $m$ ), we get: $m = \frac{F \times T}{v} = F v^{-1} T$ . Hence, the dimensional formula of mass in terms of $F$ , $v$ , and $T$ is $[F v^{-1} T]$ .

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