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

Options

A. `2pisqrt((2m)/(K))`
B. `2pisqrt((m)/(2K))`
C. `2pisqrt((m)/(K))`
D. `2pisqrt((m)/(3K))`

Answer

B

Explanation

`F_(R)=kx+2(k(x))/(sqrt2)cos45^(@)`
`F_(R)=kx+kx=2kx`
`a=(2kx)/(m)Rightarrow omega=sqrt((2k)/(m)`
`T=2pisqrt((m)/(2k))`