Two springs, each of spring constant k = 100N/m are attached to a block of mass 2kg as shown in figure. The block can slide smoothly along horizontal platform clamped to the opposite walls of a trolley of mass 5kg. The block is slightly displace dand then released. The period of oscillation is (in seconds). (all surfaces are smooth)

Options

A. `T = 2pisqrt((Mm)/(2k))`
B. `T = 2pisqrt(((M + m))/(kmM))`
C. `T = 2pisqrt((mM)/(2k(M + m)))`
D. `T = 2pi((M + m))/(k)`

Answer

C