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A particle is executing $SHM$ along a straight line. Its velocities at distance $x_1$ and $x_2$ from the mean position are $V_1$ and $V_2$ respectively. Its time period is
  • A$2\pi \sqrt {\frac{{{x_1}^2 + {x_2}^2}}{{{V_1}^2 + {V_2}^2}}}$
  • B$2\pi \sqrt {\frac{{{x_2}^2 - {x_1}^2}}{{{V_1}^2 - {V_2}^2}}} $
  • C$2\pi \sqrt {\frac{{{V_1}^2 + {V_2}^2}}{{{x_1}^2 + {x_2}^2}}}$
  • D$2\pi \sqrt {\frac{{{V_1}^2 - {V_2}^2}}{{{x_1}^2 - {x_2}^2}}} $
AIPMT 2015,JEE MAIN 2021, Diffcult
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