Question

A body of mass 5kg hangs from a spring and oscillates with a time period of 2π seconds. If the body is removed, the length of the spring will decrease by?

(a) g/k meters

(b) k/g meters

(c) 2π meters

(d) g meters

I have been asked this question in homework.

The above asked question is from Wave Motion topic in section Waves of Engineering Physics I

Answer 1

Correct choice is (d) g meters

To elaborate: Here

T=2π√(m/k)=2π or m/k=1

In equilibrium,

mg=kd

d=mg/k=1×g=g meters.