Correct option (a) 28.16 rad/sec
Explanation :
Mass (m) = 2 kg; initial radius of the path
(r1) = 0.8 m; initial angular velocity
(ω1) = 44 rad/sec and final radius of the path
(r2) = 1 m,
Moment of inertia, I1 = mr12 = 2 x (0.8)2
= 1.28 kg m2 and I2 = mr22 = 2 x (1)2 = 2kg m2
Therefore from the law of conservation of angular momentum,