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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 :

a
32T
b
T3
c
3T2
d
3T

detailed solution

Correct option is C

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

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