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Three masses of 500 g, 300 g and 100 g a...

Three masses of `500 g`, `300 g` and `100 g` are suspended at the end of a spring as shown and are in equilibrium. When the `500 g` mass is removed suddenly, the system oscillates with a period of `2 s`. When the `300 g` mass is also removed, it will oscillate with period `T`. Find the value of `T`.

A

2s

B

1.25 s

C

1.5 s

D

1 s

Text Solution

Verified by Experts

The correct Answer is:
D
`T=2pisqrt((m)/(k))`
`Rightarrow 2=2pisqrt((0.4)/(k))`……..(i) , `T=2pisqrt((0.1)/(k))`…..(ii)
`Rightarrow (2)/(T)=sqrt((0.4)/(0.1))=2`, `Rightarrow` T=1s.
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