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Question

The ratio of time period of three identical springs if they are first joined in parallel and then in series is (assume same mass is suspended from them)


A
1:3
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B
2:1
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C
2:3
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D
9:1
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Solution

The correct option is B 1:3
Effective spring constant when connected in series,
1KS=1K+1K+1KKs=K3

In parallel,
KP=K+K+K=3K

Time period in series Ts=2πm(K3)=2π3mK
Time period in parallel
TP=2πm3K

TPTs=2πm3K×12πK3m
TPTs=13

Physics

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