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Q1. Consider the gas consisting of a large number of non-interacting particles in which energy of each particle can assume one of the four values, 0, ∈, 2∈, 3∈. The system is in contact with a temperature reservoir at fix temperature.Find the average energy of system as function of temperature and entropy of system.
Q2. A ranger in a national park is driving at 59 km/h while a deer jumps onto the road 61 m ahead of the vehicle. After a reaction time of t s, ranger applies the brakes to produce an acceleration of -3 m/s2. What is the maximum reaction time allowed if ranger is to avoid hitting the deer?
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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