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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Units and Dimensions

NTA Abhyas 2020 · Physics · Units and Dimensions

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

If x,vx, v and aa denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period TT , then which of the following do not change with time?

Options

  1. AaTv\dfrac{aT}{v}
  2. BaT+2\pivaT + 2\piv
  3. Ca2T2+4π2v2a^{2}T^{2} + 4{\pi}^{2}v^{2}
  4. DaTaT

Correct answer

A. aTv\dfrac{aT}{v}

Step-by-step solution

∵∵ In option ,\dfrac{aT}{v} = \dfrac{m}{s2} \times s \left(\dfrac{m}{s}\right) = \dfrac{m \times s^{2}}{m \times s^{2}} =\left[M^{0}L^{0}T^{0}\right]<br/><br/>So,accordingtotheresultaboverelationdoesnotdependontime.<br /><br />So, according to the result above relation does not depend on time.
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