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

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a

32T

b

T3

c

32T

d

3T

answer is B.

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Detailed Solution

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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