The formula of angular momentum is l = mvr, where l is angular momentum, m is mass,v is velocity, and r is the radius. Hence, the dimensional formula of angular momentum is ____?
By BYJU'S Exam Prep
Updated on: October 17th, 2023
(A) ML2T-1
(B) M2L2T-1
(C) ML-2T-1
(D) ML2T-2
The formula of angular momentum is l = mvr, where l is angular momentum, m is mass,v is velocity and r is radius. Hence, the dimensional formula of angular momentum is ML2T-1. The formulation of the physical quantity in terms of mass, length, and time is referred to as the dimensional formula.
The angular momentum of the particle is the momentum of rotation of the particle about the axis of rotation. Angular momentum can be expressed mathematically as I = r x p Where, r = distance and p = linear momentum = (m × v).
Dimensional formula of (r) = [L],
Dimensional formula of (p) = [MLT-1],
Therefore, the dimensional formula of L is
I = [L] × [MLT-1]
∴ I = [ML2T-1]
∴ Dimensional formula of angular momentum I is [ML2T-1]
Summary:
The formula of angular momentum is l = mvr, where l is angular momentum, m is mass,v is velocity, and r is the radius. Hence, the dimensional formula of angular momentum is___? (A) ML2T-1 (B) M2L2T-1 (C) ML-2T-1 (D) ML2T-2
L = mvr, where l is angular momentum, m is mass, v is velocity, and r is the radius, is the formula for angular momentum. Consequently, the angular momentum dimensional formula is ML2T-1
