Q 1168434305.     A small body of mass `m` is connected to two horizontal springs of elastic constant `k`, natural length `(3d)/4.` In the equilibrium position both springs are stretched to length d as shown in figure. What will be the ratio of periods of the motion `((T_a)/(T_b))` if the body is displaced horizontally by a small distance where `(T_a)` is time period when the particle oscillates along the line of springs and `(T_b)` is time period when the particle oscillates perpendicular to the plane of the figure. Neglect effects of gravity.