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 ____?

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