The aurora is caused when electrons and protons, moving in the earth's magnetic field of ≈510-5 T, collide with molecules of the atmosphere and cause them to glow. What is the radius of the circular orbit for (a) an electron with speed 1.0106m/s and (b) a proton with speed 7.0*104m/s. What is re in meters and what is rp in meters?

Question

Blevins

Chemistry

14 August, 12:26

The aurora is caused when electrons and protons, moving in the earth's magnetic field of ≈510-5 T, collide with molecules of the atmosphere and cause them to glow. What is the radius of the circular orbit for (a) an electron with speed 1.0106m/s and (b) a proton with speed 7.0*104m/s. What is re in meters and what is rp in meters?

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Jason Byrd · Answer 1

The correct answer to this question is

You can use this equation.

f = m v^2 / r

f = q B v

r = m v^2 / q B v = m v / q B =

(a) an electron 9.109*10^-31 * 4.0*10^6 m/s / 1.602*10^-19 * 5.5*10^-5 T = 0.4135 m

(b) a proton 1.673*10^-27 * 7.0*10^4 m/s. / 1.602*10^-19 * 5.5*10^-5 T = 13.29 m