Answer:
a) 0.114 meters is the radius of the circular orbit for an electron with given speed.
b) 14.6 meters is the radius of the circular orbit for a proton with given speed.
Explanation:
Force on the charge particle :
Since, the particle is revolving around in a circular path ;
particle in constantly moving in circular path under action of magnetic field:
F = F'
Where :
r = radius of the circular path
m = mass of the particle
v = velocity of the particle
B = magnetic field
q = magnitude of charge on the particle
a) Velocity of the electron =
Mass of electron = m =
Charge on an electron , q=
B =
Radius of the circular orbit for an electron with given speed =
0.114 meters is the radius of the circular orbit for an electron with given speed.
b) Velocity of the proton =
Mass of electron = m =
Charge on an electron , q=
B =
Radius of the circular orbit for a proton with given speed =
14.6 meters is the radius of the circular orbit for a proton with given speed.