(a) A proportional counter with anode radius of 0.0045 cm and cathode radius of 2.5 cm is filled with P-10 gas at 1 atm. Using the Diethorn parameters from Table 6.1, find the voltage required to achieve a gas multiplication factor of 1400. (b) At the same voltage, by what factor would the multiplication change if the anode were twice as large? (c) With the original anode radius, by what factor would the multiplication change if the cathode radius were doubled?