Period of oscillation of mass attached to a spring and performing S.H.M. is T. The spring is now cut into four equal pieces and the same mass attached to one piece. Now the period of its simple harmonic oscillation is :

Options

A. 2T
B. T/2
C. T
D. T/4

Answer

B

Explanation

`T=2pi sqrt((m)/(k))` when the spring is cut into 4 equal parts the spring constant of each part is
`k.=4k`.
`:." "T.=2pi sqrt((m)/(k.))=2pi sqrt((m)/(4k))=(T)/(2)`.
Correct choice is (b).