JEE Main 2011 Physics question

A pulley of radius 2 m is rotated about its axis by a force Newton (where t is measured in seconds) applied tangentially. If the moment of inertia of the pulley about its axis of rotation is 10 kg m², the number of rotations made by the pulley before its direction of motion if reversed, is :

• (1)more than 3 but less than 6Correct
• (2)more than 6 but less than 9
• (3)more than 9
• (4)less than 3