Q.

As per given figures, two springs of spring constants K and 2K are connected to mass m. If the period of oscillation in figure (a) is 3s, then the period of oscillation in figure (b) will be x s. The value of x is _________.

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answer is 2.

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Detailed Solution

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For figure (a) :

Keq=K×2KK+2K=2K3T=2πmKeq=2πm2K/3=2π3m2K

For figure (b):

Keq=3K, T=2πm3KTT=m×2K3K×3m=23T=2x=2

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