Categories > Oscillations > Spring mass system > 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

Oscillations

Question: 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


1) ${{f}_{1}}=\sqrt{2}{{f}_{2}}$
2) ${{f}_{1}}={{f}_{2}}$
3) $f_1 = 2 f_2$
4) ${{f}_{2}}=\sqrt{2}{{f}_{1}}$
Solution: Explanation: No Explanation
Spring mass system combination of springs

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