A and B are fixed points and the mass M is tied by strings at A and B. If the mass M is displaced slightly out of this plane and released, it will execute oscillations with period.

(Given, AM = BM = L, AB = 2d)

Options

A. `2 pi sqrt((L)/(g))`
B. `2 pi sqrt(((L^(2)-d^(2))^(1//2))/(g))`
C. `2 pi sqrt(((L^(2)+d^(2))^(1//2))/(g))`
D. `2 pi sqrt(((2d^(2))^(3//2))/(g))`

Answer

B

Explanation

The motion of M is SHM, with length CM `= sqrt(L^(2)-d^(2))`
`T = 2pi sqrt((L^(2)-d^(2))^(1//2)/(g))`