Q 2550256114.     A small mass `m`, attached to one end of a spring with a negligible mass and an unstretched length `L`, executes virtual oscillation with angular freguency `omega_0` When the mass is rotated with an angular speed `omega` by holding the other end of the spring· at a fixed point, the mass moves uniformly in a circular path in a horizontal plane. Then the increase in length of the spring during the rotation is

WBJEE 2013
A

`(omega^2 L)/(omega_0^2-omega)`

B

`(omega_0^2 L)/(omega^2-omega_0^2)`

C

`(omega^2 L)/omega_0^2`

D

`(omega^2 L)/omega^2`

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