A beam of protons with speed enters a uniform magnetic field of at an angle of to the magnetic field. The pitch of the resulting helical path of protons is close to: (Mass of the proton = charge of the proton =).
The explanation for correct option:
Option (A):
When a charged particle is projected at an angle to a magnetic field, the component of velocity parallel to the field is while perpendicular to the field is ,so the particle will move in a circle of radius.
Step 1: Given
Speed of proton :
magnetic field =
Mass of the proton =
charge of the proton =
Radius of circle =
Step 2: To calculate the radius
The radius of circle of particle in a cyclotron is given by
Step 2: To calculate the time period
Step 3: To calculate the pitch
Hence, option (A) is the correct answer.