A spring balance has a scale that can read from 0 to 50 kg. The length of the scale is 20 cm. a body suspended from this balance when displaced and released oscillated harmonically with a time period of 0.6 s. The mass of the body is (take `g=10(m)/(s^2)`)

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`