If the velocity of light `(c )` , gravitational constant `(G)` , and Planck's constant `(h)` are chosen as fundamental units , then find the dimensions of mass in new system.

Options

A. `c^(1//2)h^(1//2)G^(1//2)`
B. `c^(1//2)h^(1//2)G^(-1//2)`
C. `c^(-3//2)h^(1//2)G^(1//2)`
D. `c^(-5//2)h^(1//2)G^(1//2)`

Answer

B

Explanation

`c equiv LT^(-1), G equiv M^(-1)L^(3)T^(-2), h equiv M^(1)L^(2)T^(-1) rArr M=sqrt((hc)/G)`