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Questions  

A particle at the end of a spring executes simple harmonic motion with a period t1 ,while the corresponding period for another spring is t2.If the period of oscillation with the two
springs in series is T, then :

a
T=t1+t2
b
T2=t12+t22
c
T-1=t1-1+t2-1
d
T-2=t1-2+t2-2

detailed solution

Correct option is B

t1=2πMk1,t2=2πmk2 and T=2πMkeffWhen springs are connected in series,     1keff=1k1+1k2⇒T2=t12+t22

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