# Solve this following

Question:

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

1. $a T+2 \pi v$

2. $\frac{\mathrm{aT}}{\mathrm{v}}$

3. $a^{2} T^{2}+4 \pi^{2} v^{2}$

4. $\frac{a T}{x}$

Correct Option: , 3, 4

Solution: