On a smooth inclined plane, a block of mass M is attached between two springs as shown in the figure. The other ends of the springs are fixed to firm supports. If each spring has spring constant k, the period of oscillation of the block is (Assuming the springs as massless)

Options

A. `2pi (M//2 k)^(1//2)`
B. `2 pi (2M//k)^(1//2)`
C. `2pi (M g sin theta//2k)`
D. `2pi [2M g//k]^(1//2)~

Answer

A

Explanation

the spring constant is independent of slope.
So `T = 2pi sqrt(M //2k)`