A small mass M attached to a string slides in a circle (x) on a frictionless hor

Question

A small mass M attached to a string slides in a circle (x) on a frictionless horizontal table, with the force F providing the necessary tension (see figure). The force is then increased slowly and then maintained constant when M travels around in circle (y). The radius of circle (x) is twice the radius of circle (y). 

 true false greater than less than equal to  M's angular velocity at y is twice that at x. 
 true false greater than less than equal to  While going from x to y, there is no torque on M. 
 true false greater than less than equal to  M's kinetic energy at y is twice that at x. 
 true false greater than less than equal to  As M moves from x to y, the work done by F is .... 0. 
 true false greater than less than equal to  M's angular momentum at y is .... that at x.  POSTED BEFORE: TRUE ,TRUE,,False True , Greater than. are wrong

Explanation / Answer

1) Angular velocity varies by square root 2 so false.

2) When torque is zero then angular momentum is conserved. Here angular momentum is conserved so torque should be zero - True

3) Kinetic energy is doubled as speed is square root 2.

4) Work done is greater than zero as F and d are in the same direction.

5) Angular momemtum is conserved here so - equal to

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