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Q1. A diatomic gas molecule has a mass of 2.01 x 10-26 kg and a rotational inertia of 3.37 x 10-46 kg•m2 about an axis throughout the center of the line joining the atoms and perpendicular to that line. Assume the center of mass of the molecule has a translational speed of 677 m/s and the molecule has a rotational kinetic energy that is of the translational kinetic energy of its center of mass. What next is the molecule's angular speed about the center of mass?
Q2. A 1.20 liter flask contains a certain quantity of ideal gas at 305 K. after that an equal number of molecules of the same gas are added to the flask, after which the absolute pressure is 1.30 times its unique value. What is the final temperature?
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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