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

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a

1.38 cm

b

3.5 cm

c

1.75 cm

d

2.45 cm

answer is B.

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Detailed Solution

2πmk=0.6…..(i) and 2πm+m′k=0.7 ........(ii)Dividing (ii) by (i), we get 762=m+m′m=4936m+m′m−1=4936−1⇒m′m=1336⇒m′=13m36 Also km=4π2(0.6)2 Desired extension =m′gk=1336×mgk=1336×10×0.364π2≈3.5cm

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