Planck's constant (h), gravitational constant (G) and the speed of light (c ) are taken as the fundamental quantities in a system. Find the dimensions of length and time in this system.

Options

A. `[G^((1)/(2))h^((1)/(2))c^((-5)/(2))]`
B. `[G^(1)h^(2)c^((-5)/(2))]`
C. `[G^((1)/(2))h^((1)/(2))c^(-2)]`
D. `[G^(2)h^((1)/(2))c^(-2)]`

Answer

A