The dimensions of plank's constant is same as that of

Options

A. angular momentum
B. linear momentum
C. work
D. coefficient of viscosity

Answer

A

Explanation

As, dimensions of Planck's constant, h=dimenions of `(E)/(v)`
`=([ML^(2)T^(2)])/([T^(-1)])=[ML^(2)T^(-1)]`
The dimensions of angular momentum=dimension of mvr
`=[MLT^(-1)][L]=[ML^(2)T^(-1)]`
Also, angular momentum
=r (linear momentum)
Now, `eta`=Coefficient of viscosity
`=("Stress")/(("Straint rate")`
`=(("Force/Area"))/(("Velocity change/Length"))`
`[eta]=[(MLT^(-2))/(L^(2))][(L)/(LT^(-1))]=[ML^(-1)T^(-1)]`