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

Correct answer: B. v = (k)/(m) R V = k r ^ 2 2 L = mvR = m (k)/(m) R . R = mk R ^ 2 L = (k)/(m) R ^ 2 m

JEE Advanced 2018Paper 1

Exam: JEE Advanced
Year: 2018
Paper: Paper 1
Subject: Physics
Chapter: Laws of Motion

JEE Advanced 2018 · Paper 1 · Physics · Laws of Motion

The potential energy of a particle of mass m at a distance r from a...

The potential energy of a particle of mass m at a distance r from a fixed point O is given by

V\left(r\right) = 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? 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 ,