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Question

A pan with set of weights is attached with a light spring. When disturbed, the mass-spring system oscillates with a time period of 0.6s. When some additional weights are added then time period is 0.7s. The extension caused by the additional weights is approximately

A
1.38 cm
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B
3.5 cm
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C
1.75 cm
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D
2.45 cm
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Solution

The correct option is B 3.5 cm
b)2πmk=0.6....(i) and 2πm+mk=0.7 ...(ii)

Dividing (ii) by (i) we get (76)2=m+mm=4936
m+mm1=49361mm=1336 m13m36

Alsokm=4π2(0.6)2
Desired extension = mgk = 1336×mgk
1336×10×0.364π2 3.5 cm

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