Question

A particle of mass m is attached to three identical springs A, B and C each of force constant k a shown in figure. If the particle of mass m is pushed slightly against the spring A and released then the time period of oscillations is -

Answer 1

The correct option is (b).

Explanation:

If we displace the particle by 'y'  towards A, the spring(B,C) will pull the block and spring A will push it, the net force on the block will be in the verticle direction as the horizontal force will balance it other, now the elongation in spring A is y and the compression in B,C will be y x cos 45 (component of y in B,C's alignment)