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A stargazer has an astronomical telescope by an objective whose focal length is 180cm and an eyepiece whose focal length is1.20cm. He wants to increase the angular magnification of a galaxy under view with replacing the telescope's eyepiece. Once the eye piece is replaced, the barrel of the telescope should be adjusted to bring the galaxy back into focus. If the barrel can only be shortened by0.50cm from its current length, what is the best angular magnification the stargazer will be able to achieve?
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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