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Q.

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

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a

2:1

b

1:2

c

1:4

d

4:1

answer is B.

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Detailed Solution

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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