A) \[2T\]
B) \[\frac{T}{4}\]
C) \[\frac{T}{2}\]
D) \[T\]
Correct Answer: C
Solution :
Time period \[T=2\pi \sqrt{\frac{m}{k}}\](k = force constant of spring) \[\frac{{{T}_{1}}}{{{T}_{2}}}=\sqrt{\frac{{{k}_{2}}}{{{k}_{1}}}}\] \[\therefore \] \[\frac{T}{{{T}_{2}}}=\sqrt{\frac{4k}{k}}=2\] { \[\because \] \[{{k}_{2}}=4k\]} \[\Rightarrow \] \[{{T}_{2}}=\frac{T}{2}\]You need to login to perform this action.
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