A) \[T\sqrt{n}\]
B) \[\frac{T}{\sqrt{n}}\]
C) nT
D) T
Correct Answer: B
Solution :
| [b] As we know that spring constant of spring is inversely proportional to length of spring, so new spring constant for each part is given by \[k'=nk\] where, k is the spring constant of whole spring. From the theory of spring pendulum, we know that time period of spring pendulum is inversely proportional to square root of spring constant. |
| \[i.e.\], \[T\propto \frac{1}{\sqrt{k}}\] \[\left( \because T=2\pi \sqrt{\frac{m}{k}} \right)\] |
| \[T'=\propto \frac{1}{\sqrt{nk}}\] (T'= new time period) |
| So, \[T'=\frac{1}{\sqrt{n}}\] |
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