A particle moves such that its acceleration is given by

$a=-\beta \left(x-2\right)$

Here : $\beta$ is a positive constant and $x$ is the position from origin. Time period of oscillations is

• A

  $2\pi \sqrt{\beta }$
• Correct answer
  B

  $2\pi \sqrt{\frac{1}{\beta }}$
• C

  $2\pi \sqrt{\beta +2}$
• D

  $2\pi \sqrt{\frac{1}{\beta +2}}$

Hence, the correct answer is option: 'B'.