Question

A mass m is suspended from a spring. Its frequency of oscillation is f. The spring is cut into two halves and the same mass is suspended from one of the two pieces of the spring. The frequency of oscillation of mass will be ___________

(a) √2 f

(b) f/2

(c) f

(d) 2f

I got this question in final exam.

I need to ask this question from Oscillatory Motion topic in division Oscillations of Engineering Physics I

Answer 1

Correct answer is (a) √2 f

Best explanation: f=1/2π×√(k/m)

When spring is cut into two halves, spring constant of each half is 2k.

f^‘=1/2π×√(2k/m)=√2 f.