The relationship of radiation with distance obeys the inverse square law. Therefore, doubling the distance decrease the radiation by a factor of 4. The new count is 250. 1) Applying the same principle, the count decreases by a factor of 100. The new count is 10 2) An alpha particle is 4He2 and the Hydrogen can be represented as 1H1 14N7 + 4He2 - 1H1 = 17X8 Proton number 8 belongs to Oxygen. Therefore, the resultant nucleus is: 17O8 3) 185Au79 - 4He2 = 181Ir77 4) X - 4He2 = 234Th90 X = 238U92 5) Beta emission results in the same nucleon number but an increase in the proton number; therefore, the result is: 234Pa91