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NEET2017PhysicsOscillationsActual

A particle is describing simple harmonic motion. If its velocities are v₁ and v₂ when the displacements from the mean position are y₁ and y₂ respectively, then its time period is

Options

  1. A2 y₁^2+y₂^2 v₁^2+v₂^2
  2. B2 v₂^2-v₁^2 y₁^2-y₂^2
  3. C2 v₁^2+v₂^2 y₁^2+y₂^2
  4. D2 y₁^2-y₂^2 v₂^2-v₁^2

Correct answer

D. 2 y₁^2-y₂^2 v₂^2-v₁^2

Step-by-step solution

In simple harmonic motion, velocity v= A^2-y^2 Solving equations (i) and (ii), we get aligned & v₂^2-v₁^2= ^2 (y₁^2-y₂^2 ) & = v₂^2-v₁^2 y₁^2-y₂^2 aligned T= 2 =2 y₁^2-y₂^2 v₂^2-v₁^2

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