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Questions  

A mass m is suspended from a spring of length l and force constant K. The frequency of vibration of the mass is f1 . The spring is cut into two equal parts and the same mass is suspended from one of the parts. The new frequency of vibration of mass is f2 . Which of the following relations between the frequencies is correct 

a
f1=2f2
b
f1=f2
c
f1=2f2
d
f2=2f1

detailed solution

Correct option is D

When spring is cut into two equal parts then spring constant of each part will be 2K and so using n∝K, new frequency will be 2  times i.e. f2=2 f1 .

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