A) \[n\sqrt{2}\]
B) \[\frac{n}{\sqrt{2}}\]
C) \[\frac{n}{2}\]
D) n
Correct Answer: A
Solution :
Key Idea: The two parts from which mass is suspended will be in parallel. Frequency of single spring is given by \[n=\frac{1}{2\pi }\sqrt{\frac{k}{m}}\] ?(i) When it is cut into two similar parts, the effective force constant \[k={{k}_{1}}+{{k}_{2}}=k+k=2k\] \[n=\frac{1}{2\pi }\sqrt{\frac{2k}{m}}\] Dividing Eq. (i) by Eq. (ii), we get \[\frac{n}{n}=\sqrt{\frac{k}{2k}}\] \[\Rightarrow \] \[n=\sqrt{2}\,n\]You need to login to perform this action.
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