state the law of consercation of angular momentum prove that angular momentum of a particle is equal to twise the product of its mass and areal velocity i. e L=2m A/ t
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Angular momentum, L = mvr
Where m = mass of particle; v = Velocity of particle; r = distance.
Areal Velocity, A = vr/2
Where v = velocity of particle; r = distance.
By subsitituting the value of v from Areal velocity ie.
v = 2A/r
By subsitituting the above value of v in the expression of L, we get
L = m × 2A/r × r = 2mA.
Hence proved.
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