(a) An electron moves along a circle of radius 1 m in a perpendicular magnetic field of strength 0.50 T. What would be its sped? Is it reasonable?
(b) If a proton moves along a circle of the same radius in the same magnetic field, what would be its speed?
Given-
(a) For electron
Radius of the circle = 1 m
Magnetic field strength = 0.50 T
Now,
The radius of the circle is given by,
where,
m is the mass of a electron
v= velocity of the particle
B = magnetic force
q= charge on the particle = C
Speed of light is 3x108 m/s2
Here, the speed of the electron moving along the circle is greater than the speed of light, so it is not reasonable.
(b) For a proton,
The radius of the circle is given by,
where,
m is the mass of a proton
v= velocity of the particle
B = magnetic force
q= charge on the particle = C