A mass m is suspended from a spring of length l and force constant $K$. The frequency of vibration of the mass is ${f_1}$. 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 ${f_2}$. Which of the following relations between the frequencies is correct
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(d) When spring is cut into two equal parts then spring constant of each part will be $2K$ and so using $n \propto \sqrt K $, new frequency will be $\sqrt 2 $ times i.e. ${f_2} = \sqrt 2 \,{f_1}$.
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