5) The first mobile Doppler radar data collected in tornadoes were obtained in the late 1980s using a X-band (3.1 cam) CW(Continuous Wave) system developed at Los Alamos National Lab. The tornadoes typically were within 10 km of the radar. a) approximately how far out in the range would the tornado have to be for the radar system to unambiguously identify its range? Why might your answer be problematic for those collecting the radar data? b) Name two ways that the radar system could identify targets out to the distance of the tornadoes? Show why one of the ways is preferable to the other. c) The largest tornado observed was thought to have a diameter of ~2km, and the smallest tornadoes have a diameter of ~30m, What pulse duration would be needed in order to ensure that each tornado can be separately identified? Provide one answer each for the two tornadoes. Assume n = 1.0003 and be sure to express your velocity values in m s^-1 rounded to the nearest m s^-1 rather than using scientific notation. However, you can assume c = 3*10^8 m s^-1