One end of a massless spring of spring constant $k$ and natural length $l_0$ is fixed while the other end is connected to a small object of mass $m$ lying on a frictionless table. The spring remains horizontal on the table. If the object is made to rotate at an angular velocity $\omega$ about an axis passing trough fixed end, then the elongation of the spring will be

• A

  $\frac{k-m{\omega }^2{l}_0}{m{\omega }^2}$
• B

  $\frac{m{\omega }^2{l}_0}{k+m{\omega }^2}$
• Correct answer
  C

  $\frac{m{\omega }^2{l}_0}{k-m{\omega }^2}$
• D

  $\frac{k+m{\omega }^2{l}_0}{m{\omega }^2}$

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