Question

\( M^0 L T^{-1} \) is the dimension of ___________?

• A. Power
• B. Work
• C. Energy
• D. Momentum

Hint:

Power is the rate at which work is done and has the dimension \( M L^2 T^{-3} \), while work and energy both have the dimension \( M L^2 T^{-2} \).

Answer 1

The Correct Option is A

In dimensional analysis, the dimensions of physical quantities are represented in terms of the fundamental quantities such as mass \( M \), length \( L \), and time \( T \). - Power has the dimension \( M L^2 T^{-3} \), which is the rate at which work is done. - Work and Energy both have the dimension \( M L^2 T^{-2} \), since they are both forms of energy. - Momentum has the dimension \( M L T^{-1} \). The given dimension \( M^0 L T^{-1} \) corresponds to the dimension of power since power is the rate of energy transfer, and its dimension is \( M^1 L^2 T^{-3} \). Thus, the correct answer is Power.