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A mass m attached to a light spring osci...

A mass m attached to a light spring oscillates with a period of 2 s. If the mass is increased by 2 kg, the period increases by 1 s. Then the value of m is

A

1.6 kg

B

3.9 kg

C

9.6 kg

D

12.6 kg

Text Solution

Verified by Experts

The correct Answer is:
A
`T=2pisqrt(m/k),Tpropsqrtm`
`(T_(2))/(T_(1))=sqrt((m_(2))/(m_(1)))`
`implies (3)/(2)=sqrt((m+2)/(m))`
`implies m=1.6 kg`.
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