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Q.

Two identical springs constant ‘2K’ are attached to a block of mass m and to fixed support (See figure). When the mass is displaced from equilibrium position on either side, it execute simple harmonic motion. The time period of oscillations of this system is:

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a

2πm2K

b

2πmK

c

πmK

d

πm2K

answer is C.

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Detailed Solution

Springs are in parallelKeff=2k+2k=4kT=2πmKeff=2πm4K=πmK

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Two identical springs constant ‘2K’ are attached to a block of mass m and to fixed support (See figure). When the mass is displaced from equilibrium position on either side, it execute simple harmonic motion. The time period of oscillations of this system is: