A body of mass m = 2kg hangs from three springs, each of spring constant 1875 N/m, as shown in the figure. If the mass is slightly displaced and let go, the system will oscillate with time period

Options

A. `(pi)/(5)` sec
B. `(pi)/(25)` sec
C. `(2pi)/(5)`sec
D. `(2pi)/(25)` sec

Answer

D

Explanation

`k=K_(eq)=((2K)K)/((2K)+K)=(2K)/(3)=(2xx1875)/(3)=1250`
`thereforeT=2pisqrt((m)/(K))=2pisqrt((2)/(1250))=(2pi)/(25)sec`