The linear speed of the electron is 7.03 x 10¹³ m/s and the angular speed of the electron is 5.6 x 10¹³ rev/s.
Speed of the electron
The speed of the electron is calculated as follows;
F = ma = mv²/r ---(1)
F = qvB ----- (2)
mv²/r = qvB
mv/r = qB
mv = qBr
v = qBr/m
where;
- m is mass of the electron
- B is magnetic field
- r is radius of the circle
- q is charge of the electron
v = (1.6 x 10⁻¹⁹ x 2 x 10³ x 0.2) / (9.1 x 10⁻³¹)
v = 7.03 x 10¹³ m/s
Angular speed of the electron
ω = v/r
ω = (7.03 x 10¹³ m/s) / (0.2 m) = 3.51 x 10¹⁴ rad/s
ω = 3.51 x 10¹⁴ rad/s x 1 rev/2π rad
ω = 5.6 x 10¹³ rev/s
Thus, the linear speed of the electron is 7.03 x 10¹³ m/s and the angular speed of the electron is 5.6 x 10¹³ rev/s.
Learn more about linear speed here: https://brainly.com/question/15154527
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