1. Recall the definition of angular impulse

   Angular impulse is the product of torque and time: $\text{Angular impulse} = \tau \times t$

   It is also equal to the change in angular momentum.

2. Write the dimensional formula of torque

   Torque is: $\tau = \text{force} \times \text{distance}$

   Dimensional formula of force: $[F] = [M L T^{-2}]$

   Therefore, $[\tau] = [M L T^{-2}] \times [L] = [M L^2 T^{-2}]$

3. Multiply by time

   Since angular impulse = torque $\times$ time, $[\text{angular impulse}] = [M L^2 T^{-2}] \times [T] = [M L^2 T^{-1}]$

4. Match with the options

   $[M L^2 T^{-1}]$ corresponds to Option C.

5. Verification using angular momentum

   Angular impulse = change in angular momentum.

   Angular momentum: $L = mvr$

   So, $[L] = [M] [L T^{-1}] [L] = [M L^2 T^{-1}]$

   This confirms the same result.

Final Answer: Option C