question_answer

If\[x,\text{ v}\]and a denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period T, then, which of the following does not change with time?                  [AIEEE 2009]

A)  \[{{a}^{2}}{{T}^{2}}+4{{\pi }^{2}}{{v}^{2}}\]

B)       \[aT/x\]

C)  \[aT+2\pi v\]    

D)       \[aT/v.\]

Correct Answer: A

Solution :

[a]

Hence,

which is time independent.

Option (2) however may not be regarded as the correct answer because it is not mentioned that  the displacement is measured from equilibrium position.