A body of mass of 4 kg is mounted on four vertical springs each having a spring constant of 400 N/m. The period with which the body vibrates vertically is

Options

A. 3.14 s
B. 0.314 s
C. 0.628 s
D. 0.157 s

Answer

B

Explanation

The springs are in parallel.
`therefore` The spring constant `K=4xx400=1600 N//m`
`therefore T=2pi sqrt((m)/(K))=2pi sqrt((4)/(1600))`
`= 2pi sqrt((1)/(400))=(2pi)/(20)=(pi)/(10)`
`therefore T=(3.14)/(10)=0.314 s`