A spring balance has a scale that reads from 0 to 50 kg. The length of the scale is 20cm. A body suspended from this balance, when displaced and released, oscillates with a period of 0.6 s. What is the weight of the body ?

Options

A. 10 kg
B. 25 kg
C. 18 kg
D. 22.8 kg

Answer

D

Explanation

As the scale can read maximum 50 kg, for a length for a length of 20 cm, let the spring constant be k, then
`kx_0=mg[form=50kg`,`x_0=20cm`]
`implieskimplies0.2=50implies10=2500(N)/(m)`
Let mass of the body be `m_0` then from `T=2pisqrt((m_0)/(k))`
`implies0.6=2pisqrt((m_0)/(2500))impliesm_0=22.8kg`