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Review Conceptual Example 5 before attempting this problem. Asthe drawing shows, the length of a guitar string is 0.601 m. The frets are numbered for convenience. A performer can play a musicalscale on a single string because the spacing between thefrets is designed according to the following rule: When thestring is pushed against any fret j, the fundamental frequency of the shortened string is larger by a factor of thetwelfth root of two than it is when the string is pushed againstthe fret j - 1. Assuming that the tension in the string isthe same for any note, find the spacing (a)between fret 1 and fret 0 and (b) between fret 7and fret 6.
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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