Download the app

Questions  

If L, m denote the angular momentum and mass of the particle a:rd p is linear momentum, which of the following can represent the kinetic energy of the particle moving in a circle of radius .R ?

a
L22m
b
p2m
c
L22mR2
d
12mp2

detailed solution

Correct option is C

In terms of linear momentum, the K.E. is given by  K.E. =p22mNow we consider the K.E in terms of angular momentum L L=mvR  or  V=L/(mR) K.E. =12mv2 Substituting the value of v from eq. (1) in eq. (2), we get   K.E. =12m(L/mR)2=L22mR2

Talk to our academic expert!

+91

Are you a Sri Chaitanya student?


Similar Questions

A particle of mass m = 5 units is moving with a uniform speed v=32, units in the XOY plane along the line y = x + 4. The magnitude of the angular momentum of the Particle about the origin is


phone icon
whats app icon