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Question: In electrolysis 96 500C of charge releases 1 mole of hydrogen atoms.
a. From this information show how to determine the charge-to-mass ratio of the proton. Clearly state any assumptions you make.
b. Suppose in measuring e/m of the electron you observed that electrons accelerated through a voltage acquire velocity of v = 0.03 c (where c is the speed of light in vacuum) and bend in the circle of radius r = 3cm in a magnetic field of B = 2mT. What would you determine e/m to be? (Your answer should be different from the accepted value.)
c. Explain why results like your answers to (a) and (b) implied to J.J. Thomson the existence of a new particle. What was it, and in what ways is it important?
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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