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……………

A loaded spring vibrates with a period T. The spring is divided into f

1.	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……………
Answer» `(T)/(4)` `(T)/(2)` 2 T 4 T Solution :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)`