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

OO'=x sayThen            O'M = O'N≈x2i.e. Elongation in spring B and Cis x/2, while compression in spring A is x.Net restarting force,                           F=-kx+2kx2cos45°=-2kx∴                        a=Fm=-2kmx                           T=2πxa=2πm2k