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A particle is making simple harmonic motion along Y- axis. If at a distances d1 and d2 from the mean position the velocities of the particle are v1 and v2 respectively. The time period of its oscillation is given as?

Option: 1

\begin{aligned} T=2 \pi \sqrt{\frac{Y_2{ }^2-Y_1{ }^2}{v_1{ }-v_2{ }^2}} \\ & \end{aligned}


Option: 2

T=2 \pi \sqrt{\frac{Y_2{ }^2-Y_1{ }^2}{v_1{ }^2-v_2{ }^2}}


Option: 3

\begin{aligned} T=2 \pi \sqrt{\frac{Y_2{ }-Y_1{ }^2}{v_1{ }^2-v_2{ }^2}} \\ & \end{aligned}


Option: 4

\begin{aligned} T=2 \pi \sqrt{\frac{Y_2{ }^2-Y_1 }{v_1{ }^2-v_2{ }^2}} \\ & \end{aligned}


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