Consider a linear harmonic oscillator whose hamiltonian is given by 1? д2 н 2m дд? 2 hw(n1/2) with eigenvalues en n 0,1, (1) derive its density matrix in momentum representation, and (2) evaluate the mean energy (h with results obtained in last question

Water is siphoned from a large tank and discharges into the atmosphere through a 50-mm diameter tube. the end of the tube is b = 2.6 m below the tank bottom which is a = 6.7 m deep, and viscous effects are negligible. determine the maximum height h over which the water can be siphoned without cavitation occurring. atmospheric pressure is 101.4 kpa, and the water vapor pressure is 1.79 kpa (absolute). report your answer in meters to two decimal places.