A particle of mass m is fixed to one end of light spring of force constant k and unstretched length I as shown in fig. (5). The system is rotated about the other end of

the spring with angular velocity o in gravity free space. The increase in length of the spring will be

• A

  $\frac{{\mathrm{ml\omega }}^2}{\mathrm{k}}$

• B

  $\frac{{\mathrm{ml\omega }}^2}{\mathrm{k}-{\mathrm{m\omega }}^2}$

• C

  $\frac{{\mathrm{ml\omega }}^2}{\mathrm{k}+{\mathrm{m\omega }}^2}$

• D

  none of these