When a mass m is hung from the lower of a spring of negligible mass, an extensio

Question

When a mass m is hung from the lower of a spring of negligible mass, an extension x is produced in the spring. The mass is set into vertical oscillations.The time period of oscillation is

Options:

A . T=2π√xmg

B . T=2π√gxm

C . T=2π√xg

D . T=2π√x2g

Answer: Option C
:
C
If k is the force constant, we have
mg=kx
or

\frac{m}{k} = \frac{x}{g}

∴ T = 2 π \sqrt{\frac{m}{k}} = 2 π \sqrt{\frac{x}{g}}

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