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?