An ion with charge q = −5.7 × 10−19 C and mass m = 5.4 × 10−26 kg enters a magnetic field of 1.5 T, directed into the page. The ion enters with a speed of 8.9 × 106 ms−1.

a)  Draw a diagram showing this scenario. 

b)  Find the force the ion experiences as it enters the field. 

c)  Find the radius of the path of the ion while it is in the field. 

d)  Find the period of rotation of the ion as it moves in a circular path within the field.