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Questions  

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 same mass is attached to the longer part. The new time period will be

a
32T
b
T3
c
32T
d
3T

detailed solution

Correct option is B

The spring mass system oscillates in SHM, its time period is given by  T=2πmKWhen spring is cut into ratio of 1:3 the new time constant is K1=3K ∴TT1=3KKT1=T3

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