Question -
Answer -
Magnetic field strength, B =6.5 × 10−4 T
Charge of the electron, e =1.6 × 10−19 C
Mass of the electron, me =9.1 × 10−31 kg
Velocity of the electron, v =4.8 × 106 m/s
Radius of the orbit, r =4.2 cm = 0.042 m
Frequency of revolution of theelectron = ν
Angular frequency of the electron= ω = 2πν
Velocity of the electron isrelated to the angular frequency as:
v = rω
In the circular orbit, themagnetic force on the electron is balanced by the centripetal force. Hence, wecan write:
This expression for frequency isindependent of the speed of the electron.
Onsubstituting the known values in this expression, we get the frequency a
Hence, the frequency of theelectron is around 18 MHz and is independent of the speed of the electron.