If the speed of light c, acceleration due to gravity (g) and pressure (p) are taken as the fundamental quantities then the dimension of gravitational constant is

Options

A. `c^2g^0p^-2`
B. `c^0g^2p^-1`
C. `cg^3p^-2`
D. `c^-1g^0p^-1`

Answer

B

Explanation

Let `[G]propc^xg^yp^z`
by substituting the following dimensions:
`[G]=[M^-1L^3T^-2]`,`[c]=[LT^-1]`,`[g]=[LT^-2]`
and by conparing the power of both sides we cen get `x=0`,`y=2`,`z=-1`
`[G]propc^0g^2p^-1`