A) \[\sqrt{\frac{3}{2}}\,T\]
B) \[\frac{T}{\sqrt{3}}\]
C) \[\frac{\sqrt{3}T}{2}\]
D) \[\sqrt{3}T\]
Correct Answer: B
Solution :
The spring mass system oscillates in SHM, its time period is given by \[T=2\pi \sqrt{\frac{m}{k}}\] When spring is cut in ratio 1 : 3 the new time constant is \[k'=3k\] \[\therefore \] \[\frac{T}{T'}=\sqrt{\frac{3k}{k}}\] \[\Rightarrow \] \[T'=\frac{T}{\sqrt{3}}\]You need to login to perform this action.
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