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Question1
1. The moon has a diameter of 3.48 106 m and is a distance of 3.85 108 m from the earth. The sun has a diameter of 1.39 109 m and is 1.50 1011 m from the earth.
(a) Establish (in radians) angles subtended by the moon and the sun, as measured by a person standing on the earth.
(b) Based on your answers to part (a), decide if a total eclipse of the sun is really “total.” Give proper reasoning.
(c) Find out the ratio, expressed as a percentage, of the apparent circular area of the moon to the apparent circular area of sun.
2. A particle of mass m and charge q moves in a circular path in a magnetic field
B. explain that its kinetic energy is proportional to r 2, the square of the radius of curvature of its path. 3. Prove that the angular momentum of particle is L = qBr 2 about the center of the circle.
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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