A particle is making simple harmonic motion along the X-axis. If at a distances \( x_1 \) and \( x_2 \) from the mean position the velocities of the particle are \( v_1 \) and \( v_2 \) respectively. The time period of its oscillation is given as:
\( T=2\pi \sqrt{\dfrac{x_2^{2}+x_1^{2}}{v_1^{2}-v_2^{2}}} \)
\( T=2\pi \sqrt{\dfrac{x_2^{2}-x_1^{2}}{v_1^{2}+v_2^{2}}} \)
\( T=2\pi \sqrt{\dfrac{x_2^{2}+x_1^{2}}{v_1^{2}+v_2^{2}}} \)
\( T=2\pi \sqrt{\dfrac{x_2^{2}-x_1^{2}}{v_1^{2}-v_2^{2}}} \)
