A body of mass 20 g connected to a spring of spring constant k, executes simple harmonic motion with a frequency of `(5//pi)` Hz. The value of spring constant is

Options

A. `4Nm^(-1)`
B. `3Nm^(-1)`
C. `2Nm^(-1)`
D. `5Nm^(-1)`

Answer

C

Explanation

Here, `m=20g=20xx10^(-3)kg,upsilon=(5)/(pi)Hz`
As, `upsilon=(1)/(2pi)sqrt((k)/(m))`
`k=4pi^(2)upsilon^(2)m=4pi^(2)((5)/(pi))^(2)xx20xx10^(-3)=2" N "m^(-1)`