Helical path

A uniform magnetic field of magnitude 1 T is direction parallel to the Z-axis. A proton enters the field with an initial velocity V0 = (4i+ 3 J + 2 K) * 106 m/s.
a) Find radius of orbit and period of it.
b) Describe the resultant motion.
c) Number of complete cycles and where is the proton after 6.89*10-7 s later?
d) Find number of complete cycle after 3 m distance in z direction Take the proton mass, m= 1.67*10-27 kg and its charge e= 1.6*10-19 C.

A proton moves with a speed of 8*106 m/s moves parallel to uniform
magnetic field of magnitude 2.5 T, a) Calculate the initial magnetic force and acceleration of the proton.
b) What is the radius of the orbit?
Take the proton mass, m= 1.67*10-27 kg and its charge e= 1.6*10-19 C

A uniform magnetic field of magnitude 0.5 T is
direction parallel to the Z-axis as shown in figure. A proton enters the field at a point on the X-axis with a velocity V0 = (2 J + 4 K) * 106 m/s.
a) Find radius of orbit and period of it.
b) Number of complete cycles and where is the proton after 6.89*10-7 s later?
Take the proton mass, m= 1.67*10-27 kg and its charge e= 1.6*10-19 C.