Question

A body of mass m (= 5 g), is moving in one dimension under influence of a conservative force. Potential energy of the body is given by

\(U=\frac{-2x}{x^2+4}\)

Then, angular frequency of small oscillations of the body about the position of stable equilibrium is 

(a) 5 rad s⁻¹ 

(b) 10 rad s⁻¹ 

(c) π rad s⁻¹ 

(d) 25 rad s⁻¹

Answer 1

Correct option is (a) 5 rad s⁻¹

As, \(U=\frac{-2x}{x^2+4}\)

Now, restoring force constant