Question

A particle of mass m and angular momentum L moves in space where its potential energy is U(r) = kr² (k > 0) and r is the radial coordinate.
If the particle moves in a circular orbit, then the radius of the orbit is

• A. \((\frac{L^2}{mk})^{\frac{1}{4}}\)
• B. \((\frac{L^2}{2mk})^{\frac{1}{4}}\)
• C. \((\frac{2L^2}{mk})^{\frac{1}{4}}\)
• D. \((\frac{4L^2}{mk})^{\frac{1}{4}}\)

Answer 1

The Correct Option is B

The correct answer is (B) : \((\frac{L^2}{2mk})^{\frac{1}{4}}\)