A loaded spring vibrates with a period T. The spring is divided into four equal parts and the same load is suspended from one as these parts. The new time period is……………

Options

A. `(T)/(4)`
B. `(T)/(2)`
C. 2 T
D. 4 T

Answer

B

Explanation

Let the force constant of the spring be k. Then `T=2pisqrt((m)/(k))`
If the spring is divided into four equal parts, then the force constant of each part will be 4k. Therefore, `T=2pisqrt((M)/(4k))=(T)/(2)`