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The potentiel energy of a particle of mass m at a distance r from a fixed point O is given by V(r) = kr 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 ν 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 ?

1. R m 2 k = ν
2. R m k = ν
3. 2 R mk L =
4. 2 R 2 mk L = CAREER POINT Date : 20 / 05 / 2018 CAREER POINT CAREER POINT , CP Tower, IPIA, Road No.1, Kota (Raj.), : 0744-6630500 | www.ecareerpoint.com Email: info@cpil.in Page # 2 Paper-1

Correct answer: R m k = ν

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