Question

In the expression \( P = E l^2 m^{-5} G^{-2} \) where \( E, l, m \) and \( G \) represent Energy, Angular Momentum, Mass and Gravitational Constant, the dimensions of \( P \) are

• A. \( [M^1 L^2 T^{-2}] \)
• B. \( [M^0 L^2 T^{-2}] \)
• C. \( [M^0 L^0 T^0] \)
• D. \( [M^0 L^0 T^{-2}] \)

Hint:

Always substitute each quantity carefully and combine powers systematically to avoid mistakes.

Answer 1

The Correct Option is C