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

Answer: (B)

$(\frac{L^2}{2mk})^{\frac{1}{4}}$

Answer 2

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