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# Problem: The aurora is caused when electrons and protons, moving in the earth's magnetic field of 5.0x105T, collide with molecules of the atmosphere and cause them to glow.1. What is the frequency of the circular orbit for an electron with speed 1.0x106m/s? f electron =?2. What is the frequency of the circular orbit for a proton with speed 5.0x104m/s? f proton =?

###### FREE Expert Solution

The frequency of the electron and proton is obtained by:

$\overline{){\mathbf{f}}{\mathbf{=}}\frac{\mathbf{B}\mathbf{q}}{\mathbf{2}\mathbf{\pi }\mathbf{m}}}$, where B is the magnetic field, q is the charge of the electron, and m is the mass of the electron and proton.

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###### Problem Details

The aurora is caused when electrons and protons, moving in the earth's magnetic field of 5.0x105T, collide with molecules of the atmosphere and cause them to glow.

1. What is the frequency of the circular orbit for an electron with speed 1.0x106m/s? f electron =?

2. What is the frequency of the circular orbit for a proton with speed 5.0x104m/s? f proton =?