Question

12. Which one of the following is the correct description of power in terms of fundamental physical quantities?
A. Power=(mass×〖Length〗^2)/〖Time〗^2 B. Power=Mass×〖Length〗^3/〖Time〗^2
C. Power=(Mass×length)/〖Time〗^3 D. Power=(Mass×〖Length〗^2)/〖Time〗^3

Answer 1

Power = work/time. Work = force × distance, force = mass × acceleration = M L T^-2, so work = M L^2 T^-2. Dividing by time gives power = M L^2 T^-3.

Answer: D.