A) \[T=2\pi \sqrt{\frac{m}{4k}}\]
B) \[T=2\pi \sqrt{\frac{m}{2k}}\]
C) \[T=2\pi \sqrt{\frac{m}{k}}\]
D) \[T=2\pi \sqrt{\frac{2m}{k}}\]
Correct Answer: C
Solution :
\[{{k}_{1}}\] and \[{{k}_{2}}\] are parallel and \[{{k}_{3}}\] and \[{{k}_{4}}\] are parallel. The two combinations are in series with each other. \[\therefore \] \[{{k}_{1}}+{{k}_{2}}=k+k=2k\] \[{{k}_{3}}+{{k}_{4}}=k+k=2k\] \[\frac{1}{{{k}_{eq}}}=\frac{1}{2k}+\frac{1}{2k}\] \[\Rightarrow \] \[{{k}_{eq}}=k\] Time period \[T=2\pi \sqrt{\frac{m}{k}}\]You need to login to perform this action.
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