An electron enters a region of space containing a uniform 0.109-t magnetic field. its speed is 181 m/s and it enters perpendicularly to the field. under these conditions, the electron undergoes circular motion. find the radius r of the electron\'s path, and the frequency f of the motion.

The radius of the electron's path and the frequency of the motion are and .

Explanation:

Given that,

Magnetic field = 0.0000109 T

Speed = 181 m/s

We need to calculate the radius of the electron

Using formula of radius

Where, m = mass

v = velocity

q = charge

B = magnetic field

Put the value into the formula

We calculate the time

Using formula of time

Distance is the circumference.

Put the value into the formula

We need to calculate the frequency

The frequency is the inverse of the time for one revolution.

Put the value of t into th formula

Hence, The radius of the electron's path and the frequency of the motion are and .