32) A block of mass M  is kept gravity free space and touches the two springs as shown in the figure. Initially springs are in their natural lengths. Now, the block is shifted ( l 0 / 2 ) from the given position in such a way that it compresses a spring and is released. The time - period of oscillation of mass will be.
( A )   π 2 M K ( B )   2 π m 5 K ( C )   3 π 2 M K ( D )   π M 2 K

Dear Student

The time period of oscillation of a load attached to a spring does not depends on the stretching of the spring, rather it depends on the mass of the load. The relationship is
T=2πMKeff=2πMk1+k2=2πMk+4kT=2πM5k

So option B is right.

Regards

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