Find dimension of √G.µ, where G is universal gravitational constant and µ is energy gradient.

Question

Find dimension of \(\sqrt {G. \mu}\), where G is universal gravitational constant and µ is energy gradient.

(1) [LT^–2]

(2) [L²T^–2]

(3) [LT³]

(4) [LT^–1]

Answer 1

Correct option is (2) [L²T^–2]

Dimension of \(\sqrt {G. \mu } = \sqrt{M^1L^3 T^{-2} \frac{M^1L^2T^{-2}}{L^1}}\)

\(= \sqrt{M^0L^4 T^{-4}}\)

\(= [L^2T^{-2}]\)