JEE Advanced2018PhysicsLaws of MotionActual
The potential energy of a particle of mass m at a distance r from a fixed point O is given by V r = k r 2 / 2 , where k is a positive constant of appropriate dimensions. This particle is moving in a circular orbit of radius R about the point O. If v is the speed of the particle and L is the magnitude of its angular momentum about O, which of the following statements is (are) true?
Options
- Av = k 2 m R
- Bv = k m R
- CL = m k R 2
- DL = m k 2 R 2
Correct answer
B. v = k m R
Step-by-step solution
V = k r 2 2 L = m v R = m k m R . R = m k R 2 L = k m R 2 m