Question

A simple harmonic oscillator consist of a particle of mass m and an ideal spring with spring constant k The particle oscillates with a time period T. The spring is cut into two equal parts. If one part oscillates with the same particle, the time period will be …….

(a)\(\frac{T}{2}\) 

(b) \(\frac{T}{\sqrt 2}\)

(c) \({\sqrt 2}{T}\)

(d) 2T

Answer 1

Correct answer is (b) \(\frac{T}{\sqrt2}\) 

If the spring is cut into two equal parts, the force constant of each part becomes 2k. 

Therefore,