Which will cause a greater increase in the angular velocity of a disk?

Doubling the torque applied

Halving the radius at which the torque is applied

a and b will cause an equal increase

More information is needed

Doubling the torque applied will cause a greater increase in the angular velocity of a disk compared to halving the radius at which the torque is applied. The angular velocity of a disk is directly proportional to the torque applied and inversely proportional to the moment of inertia of the disk. Doubling the torque will directly double the angular velocity, whereas halving the radius will only have a square root effect on the angular velocity. Therefore, doubling the torque applied will result in a greater increase in the angular velocity.