Answer
a) greater than
b) I
Work Step by Step
(a) We know that the mass in the left hand system has a smaller acceleration as compared to the object on the right hand system. This shows that the left hand system has a smaller force. Thus, the tension in the string on the left hand rotating system is greater than the tension in the string on the right hand rotating system.
(b) We know that the correct option is statement (I) -- that is, the mass in the right hand system has the greater downward acceleration.