The dimensions of angular momentum are same as that of

Question

The dimensions of angular momentum are same as that of (A) energy (B) Planck's constant (C) force (D) power

Tardigrade Admin · Accepted Answer

Planck's constant h=( textEnergy E/ textFrequency upsilon) =([ML2T-2]/[T]) =[ML2T-1] Angular momentum L = Moment of inertia I× angular velocity ω L=[ML2][T-1]=[ML2T-1]

Q. The dimensions of angular momentum are same as that of

energy

Planck's constant

force

power

Planck's constant
$h = \frac{Energy E}{Frequency υ}$
$= \frac{[ M L ^{2} T ^{- 2} ]}{[ T ]}$
$= [M L^{2} T^{- 1}]$
Angular momentum L = Moment of inertia I\times angular velocity $ω$
$L = [M L^{2}] [T^{- 1}] = [M L^{2} T^{- 1}]$

Q. The dimensions of angular momentum are same as that of

energy

Planck's constant

force

power

Planck's constant h=FrequencyυEnergy E​ =[T][ML2T−2]​ =[ML2T−1] Angular momentum L = Moment of inertia I\times angular velocity ω L=[ML2][T−1]=[ML2T−1]

Planck's constant
$h = \frac{Energy E}{Frequency υ}$
$= \frac{[ M L ^{2} T ^{- 2} ]}{[ T ]}$
$= [M L^{2} T^{- 1}]$
Angular momentum L = Moment of inertia I\times angular velocity $ω$
$L = [M L^{2}] [T^{- 1}] = [M L^{2} T^{- 1}]$