An object of mass M is hung on a vertical spring of spring constant k and is set into vertical oscillations. The period of this oscillation is T_{0}. The spring is then cut in half and the same mass is attached and the system is set up to oscillate on a frictionless inclined plane making an angle \theta to the horizontal. Determine the period of the oscillations on the inclined plane in terms of T_{0}.
Answer Choices
A. T_{0}
B. T_{0} / 2
C. 2 T_{0} \sin \theta
D. T_{0} / \sqrt{2}
E. T_{0} \sin \theta / \sqrt{2}