The result of a fluorescence lifetime experiment gives a value for the decay corresponding to a double exponential lifetime as shown in the expression below f(t)=0.82*exp(-t/2.5ns)+0.18*exp(-t /5.2 ns) calculate the coordinates g and s of the phasor for this decay (use 80mhz for the laser repetition rate). also, in the phasor plot show (schematically) the phasor position for the two individual components and the phasor position for the mixture of the two components. be careful about the difference between pre-exponential factors and fractional intensities. the answer to this problem should be under to form of g=. and s=… plus a phasor plot

Suppose water is leaking from a tank through a circular hole of area ah at its bottom. when water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of water leaving the tank per second to cah 2gh , where c (0 < c < 1) is an empirical constant. a tank in the form of a right-circular cone standing on end, vertex down, is leaking water through a circular hole in its bottom. (assume the removed apex of the cone is of negligible height and volume.) (a) suppose the tank is 20 feet high and has radius 8 feet and the circular hole has radius 2 inches. the differential equation governing the height h in feet of water leaking from a tank after t seconds is dh dt = − 5 6h3/2 . if the height of the water is initially 8 feet, how long will it take the tank to empty? (round your answer to two decimal places.)