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Q.

Time period of a spring mass system is T. If this spring is cut into two parts whose lengths are in the ratio 1 : 3 and the some mass is attached to the longer part, the new time period will be :

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a

32T

b

T3

c

3T2

d

3T

answer is C.

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Detailed Solution

For spring kl= constant so spring constant of longer part k'=43k.But T∝1k so T'=32T.
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