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The identical springs of constant ‘K’ are connected in series and parallel as shown in figure A mass M is suspended from them. The ratio of their frequencies of vertical oscillations will be

a
2:1
b
1:2
c
1:4
d
4:1

detailed solution

Correct option is B

Spring constant in series, S KS=K+KK+K=K2Spring constant in parallel Kp=K+K=2K∴VS=12πksM=12πK2M;VP=12πkpM=12π2KM  So VS/Vp=1/2

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