The physical quantity used to describe the rate of change of displacement with time has which of the following dimensional formulae?
[M⁰LT⁻¹]
The rate of change of displacement with time is velocity. Velocity is defined as displacement divided by time:
\(v = \dfrac{\text{displacement}}{\text{time}}\)
The dimension of displacement (a length) is \([L]\) and the dimension of time is \([T]\), so the dimensional formula of velocity is:
\([v] = \dfrac{[L]}{[T]} = [M^{0}L^{1}T^{-1}]\)
This matches the dimensional formula with no mass dependence, length to the power one, and time to the power minus one.
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