1. Problem Set #1

2. Problem1 Calculate the ratio of the particle speed to the speed of light in vacuum, v/c, when the particle mass is m=(1+f)m 0 for f=0.001, 0.1, 1.0 and 10.0.

3. Problem 2 For (a) a 1 MeV  particle, (b) a 5 MeV  -particle and (c) a 30 MeV proton, where the energies are the true energies of the particles, calculate the ratio of the true kinetic energy to the classical value of the kinetic energy, T = (1/2)mv 2. To do this, find the true velocity of the particles using the relativistic expression.

4. Problem 3 (a) One gram of 238 U undergoes fission to produce 96 Sr and 142 Xe. Calculate the total energy release in MeV. (b) The complete combustion of 1 mole of C with 1 mole of O 2 to produce CO 2 produces 393.5 kcal/mol. Calculate the ratio of the energy produced in the fission of part (a) to the energy produced in the combustion of 1 g of C to produce CO 2.

5. Problem 4 Given the decay sequence, N 1  N 2  N 3,where the decay constants 1 = 2 =, derive an expression for the number of atoms N 2 (t) when N 1 (t=0)=N 1 0 and N 2 (t=0)=0.

6. Problem 5 You have 1mCi each of radionuclides with half-lives of 10 x s, where x varies by 2 in the range -2 to 8. Calculate the number of atoms in each source.