Gaussian Beams (use green light (λ = 532 nm for wavelength) for calculations). Carry out the algebra to derive the effect of a lens of focal length, f, on an input Gaussian beam with flat wave-front (Ri = [infinity]) and beam waist ωi = ωo at the lens entrance. What are R(d) and w(d) for all distances, d, to the right of the lens? (Work out the details to obtain general results.)

What precautions should you take to prevent injuries when dealing with heavy loads?

A2-m rigid tank initially contains saturated water vapor at 100 kpa. the tank is connected to a supply line through a valve. steam is flowing in the supply line at 600 kpa and 300 c. the valve is opened, and steam is allowed to enter the tank until the pressure in the tank reaches the line pressure, at which point the valve is closed. a thermometer placed in the tank indicates that the temperature at the final state is 200°c. determine (a) the mass of steam that has entered the tank (b) the amount of heat transfer.

10 kg of co2 is initially contained at 400 kpa and 300 k. the gas constant for carbon dioxide is 189 j/lkg k) and has a specific heat ratio, k, of 1.289. isentropic expansion then occurs until the pressure is 200 kpa. a) determine the initial volume of co2 in m. b) determine the final temperature in k. c) determine the work done by the system during the expansion kl.