Step 1: Read the dimensional formula. We are given the dimensional formula $[M^1 L^2 T^{-2}]$. We must find which physical quantity has exactly this combination of mass, length and time powers.
Step 2: Recall what work means. Work is force multiplied by the distance moved in the force's direction. So $\text{Work} = \text{Force}\times\text{Distance}$. We will check its dimensions.
Step 3: Write the dimension of force. Force is mass times acceleration. Acceleration has dimension $[L T^{-2}]$, so force is $[M^1 L^1 T^{-2}]$.
Step 4: Multiply by distance. Distance has dimension $[L^1]$. Multiply force by distance. \[ [M^1 L^1 T^{-2}]\times[L^1] = [M^1 L^2 T^{-2}] \] This matches the given formula exactly.
Step 5: Rule out the other options. Force is $[M^1 L^1 T^{-2}]$, power is $[M^1 L^2 T^{-3}]$, and momentum is $[M^1 L^1 T^{-1}]$. None of these match the given formula.
Step 6: State the answer. Only work fits the formula $[M^1 L^2 T^{-2}]$.
\[ \boxed{\text{Work}} \]
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