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

Question

The dimensions of Planck's constant is same as that of (A) angular momentum (B) linear momentum (C) work (D) coefficient of viscosity

Tardigrade Admin · Accepted Answer

Dimensions of Planck's constant h = Dimension of (E/V) =([ ML 2 T -2]/[ T -3])=[ ML 2 T -1] Dimensions of angular momentum = Dimension of m v r =[ MLT -1][ L ] = [ ML 2 T -1]

Q. The dimensions of Planck's constant is same as that of

angular momentum

linear momentum

work

coefficient of viscosity

Dimensions of Planck's constant
$h =$ Dimension of $\frac{E}{V}$
$= \frac{[ M L ^{2} T ^{- 2} ]}{[ T ^{- 3} ]} = [M L^{2} T^{- 1}]$
Dimensions of angular momentum
$=$ Dimension of $m v r$
$= [M L T^{- 1}] [L]$
$= [M L^{2} T^{- 1}]$

Q. The dimensions of Planck's constant is same as that of

angular momentum

linear momentum

work

coefficient of viscosity

Dimensions of Planck's constant h= Dimension of VE​ =[T−3][ML2T−2]​=[ML2T−1] Dimensions of angular momentum = Dimension of mvr =[MLT−1][L] =[ML2T−1]

Dimensions of Planck's constant
$h =$ Dimension of $\frac{E}{V}$
$= \frac{[ M L ^{2} T ^{- 2} ]}{[ T ^{- 3} ]} = [M L^{2} T^{- 1}]$
Dimensions of angular momentum
$=$ Dimension of $m v r$
$= [M L T^{- 1}] [L]$
$= [M L^{2} T^{- 1}]$