Question

The Energy `(E)` angular momentum `(L)` and universal gravitational constant `(G)` are chosen as fundamental quantities. The dimensions of universal gravitational constant in the dimensional formula of Planks constant `(h)` is
A. `0`
B. `-1`
C. `5//3`
D. `1`

Answer 1

Correct Answer - A
`h prop E,L,G`
`ML^(2) T^(-1) = (ML^(2)T^(-2))^(a) (ML^(2)T^(-1))^(b) (M^(-1) L^(3) T^(-2))^(c)` Comparing the powers on both sides we get `a,b,c`