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  • A particle is making simple harmonic motion along the . If at a distances <img alt="\mathrm{x}_{1}" src="/latex-image/?%5Cmath

A particle is making simple harmonic motion along the \mathrm{X}-axis. If at a distances \mathrm{x}_{1}and \mathrm{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 :
 

Option: 1

\mathrm{T}=2 \pi \sqrt{\frac{\mathrm{x}_{2}^{2}+\mathrm{x}_{1}^{2}}{v_{1}^{2}-v_{2}^{2}}}


Option: 2

\mathrm{T}=2 \pi \sqrt{\frac{\mathrm{x}_{2}^{2}+\mathrm{x}_{1}^{2}}{v_{1}^{2}+v_{2}^{2}}}


Option: 3

\mathrm{T}=2 \pi \sqrt{\frac{\mathrm{x}_{2}^{2}-\mathrm{x}_{1}^{2}}{v_{1}^{2}+v_{2}^{2}}}


Option: 4

\mathrm{T}=2 \pi \sqrt{\frac{\mathrm{x}_{2}^{2}-\mathrm{x}_{1}^{2}}{v_{1}^{2}-v_{2}^{2}}}


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