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## Homework 9

Modern Physics, Spring '10

Homework 9, covers Townsend chapter 6

1. Problem 6.2

2. Problem 6.3

3. Problem 6.4

4. Problem 6.17

5. Estimate the difference in energies for the two lowest rotational states of a Nitrogen molecule (N_2). This is of course the amount of energy required to excite the molecule from a non-rotating (lowercase-L = 0) state to a state in which it's actually got some angular momentum. Do you think nitrogen molecules in the air are typically rotating, or not? Hint: compare the energy difference you estimated to the typically available thermal energy kT (where k is Boltzmann's constant and T is the absolute temperature), which is about 1/40 eV for T = 300K.

Homework 9, covers Townsend chapter 6

1. Problem 6.2

2. Problem 6.3

3. Problem 6.4

4. Problem 6.17

5. Estimate the difference in energies for the two lowest rotational states of a Nitrogen molecule (N_2). This is of course the amount of energy required to excite the molecule from a non-rotating (lowercase-L = 0) state to a state in which it's actually got some angular momentum. Do you think nitrogen molecules in the air are typically rotating, or not? Hint: compare the energy difference you estimated to the typically available thermal energy kT (where k is Boltzmann's constant and T is the absolute temperature), which is about 1/40 eV for T = 300K.

Last modified: Monday, December 19, 2011, 9:18 AM