A) 2T
B) T/4
C) T/2
D) T
Correct Answer: C
Solution :
Time period of the mass attached to a spring, \[T=2\pi \sqrt{\frac{m}{k}}\] ... (i) When spring is cut into four equal pieces, then new spring constant \[\therefore \] \[k=4k\] \[\left( \because k\propto \frac{1}{l} \right)\] \[\therefore \]Time period\[(T)=2\pi \sqrt{\frac{m}{k}}=2\pi \sqrt{\frac{m}{4k}}\] \[=\frac{1}{2}\times 2\pi \sqrt{\frac{m}{k}}=\frac{T}{2}\]You need to login to perform this action.
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