Linear momentum and angular momentum have the same dimensions in

Question

Linear momentum and angular momentum have the same dimensions in (A) mass and length (B) length and time (C) mass and time (D) mass, length and time

Tardigrade Admin · Accepted Answer

[Linear momentum] =[ mass × velocity] =[ MLT -1] [Angular momentum] = [Moment of Inertia × Angular velocity] =[ ML 2][ T -1]=[ ML 2 T -1] The dimensions of mass and time are same for linear momentum and angular momentum.

Q. Linear momentum and angular momentum have the same dimensions in

mass and length

length and time

mass and time

mass, length and time

[Linear momentum] $= [$ mass $\times$ velocity]
$= [M L T^{- 1}]$
[Angular momentum] = [Moment of Inertia $\times$ Angular velocity] $= [M L^{2}] [T^{- 1}] = [M L^{2} T^{- 1}]$
The dimensions of mass and time are same for linear momentum and angular momentum.

Q. Linear momentum and angular momentum have the same dimensions in

mass and length

length and time

mass and time

mass, length and time

[Linear momentum] =[ mass × velocity] =[MLT−1] [Angular momentum] = [Moment of Inertia × Angular velocity] =[ML2][T−1]=[ML2T−1] The dimensions of mass and time are same for linear momentum and angular momentum.

[Linear momentum] $= [$ mass $\times$ velocity]
$= [M L T^{- 1}]$
[Angular momentum] = [Moment of Inertia $\times$ Angular velocity] $= [M L^{2}] [T^{- 1}] = [M L^{2} T^{- 1}]$
The dimensions of mass and time are same for linear momentum and angular momentum.