The time period of a mass suspended from a spring is T. If the spring is cut into four equal parts and the same mass is suspended from one of the parts, then the new time period will be

Options

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

Answer

B

Explanation

`T=2pi sqrt((m)/(k)) " For a spring ", k prop (1)/(L)`
`therefore K_("new") =4k therefore T_(2)=2 pi sqrt((m)/(4k))=(2pi)/(2) sqrt((m)/(k))=(1)/(2) T_(1)`