the dimensional formula for planck's constant and angular momentum are

Options

A. `ML^(2)T^(-1)` and `MLT^(-1)`
B. `ML^(2)T^(-1)` and `ML^(2)T^(-1)`
C. `MT^(-1)` and `MLT^(-1)`
D. `ML^(2)T^(-2)` and `ML^(2)T^(-1)`

Answer

B

Explanation

Energy of a photon `E=hv`, Where h is the Planck.s constant v is the frequency
`:.` Dimensional formula `h=e/v=([ML^(2)LT^(-2)])/([T^(-1)])=[ML^(3)T^(-1)]`
Angular momentu `vecL=vecrxxvecp`
Dimensional formula of angular momentum
`L=[L][MLT^(-1)]=[ML^(2)T^(-1)]`
Both Planck.s constant and angular momentum has same dimensional formula.