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1. You are given a slide with two slits cut into it and asked how far apart the slits are. You shine white light on the slide and notice the first-order color spectrum that is created on a screen 3.75 m away. On the screen, the red light with a wavelength of 714 nm is separated from the violet light with a wavelength of 404 nm by 8.00 mm. What is the separation of the two slits?
_____ mm
2. A grating has 3040.1 slits per cm. How many orders of light of wavelength 438 nm can be observed with this grating?
______
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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