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Q1. A juggler performs in a room whose ceiling is a height 3.0 m above the level of his hands. He throws a ball upward so that it just reaches the ceiling. At the instant when the first ball is at the ceiling, he throws a second ball upward with two-thirds the initial velocity of the first. How long after the second ball is thrown did two balls pass each other?
Q2. Two projectiles are thrown with the same initial speed, one at an angle with respect to the level ground and the other at angle 90 degree. Both projectiles strike the ground at the equivalent distance from the projection point. Are both projectiles in the air for the same length at one?
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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