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JEE Main 2009
Exam
JEE Main
Year
2009
Subject
Physics
Chapter
Oscillations

JEE Main 2009 · Physics · Oscillations

If x, v and a denote the displacement, the velocity and the...

If x,vx, v and a denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period T\mathrm{T}, then, which of the following does not change with time?

Options

  1. Aa2T2+4π2v2a^2 T^2+4 \pi^2 v^2
  2. BaTx\frac{a T}{x}
  3. CaT+2πva T+2 \pi v
  4. DaTv\frac{a T}{v}

Correct answer

B. aTx\frac{a T}{x}

Step-by-step solution

 aT X=ω2XTX=4π2 T2×T=4π2 T= constant. \frac{\text{ aT }}{\mathrm{X}}=\frac{\omega^2 \mathrm{XT}}{\mathrm{X}}=\frac{4 \pi^2}{\mathrm{~T}^2} \times \mathrm{T}=\frac{4 \pi^2}{\mathrm{~T}}=\text{ constant. }
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