The dimensional formula for Planck's constant h and gravitational constant G respectively is

Options

A. `ML^(3)T^(-2),M^(-1)L^(2)T^(-3)`
B. `ML^(2)T^(-1),M^(-1)L^(3)T^(-2)`
C. `ML^(3)T^(2), M^(-1)L^(2)T^(2)`
D. `MLT^(-3),M^(-1)L^(3)T^(-3)`

Explanation

Planck's constant `h=("Energy")/("Frequency Energy"//"Frequency")`
`h=(ML^(2)T^(-2))/(T^(-1))=ML^(2)T^(-1)`
`F=(Gm_(1)m_(2))/(r^(2))`
`therefore` Gravitiational constant `G=(Fr^(2))/(m_(1)m_(2))`