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Physics · UNITS AND MEASUREMENT
हिन्दीIn a system of units where Force \( (F) \), Velocity \( (v) \), and Time \( (t) \) are chosen as fundamental quantities, the dimensional formula of mass \( (m) \) is:
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Correct answer · Option A
\( [F v^{-1} t] \)
Explanation
Let \( m = F^a v^b t^c \). In terms of base dimensions: \( [M] = [M L T^{-2}]^a [L T^{-1}]^b [T]^c \). Comparing exponents gives \( a = 1 \), \( a + b = 0 \implies b = -1 \), and \( -2a - b + c = 0 \implies c = 1 \). Hence \( [m] = [F v^{-1} t] \).
