A gas emits one spectral line at 100 nm and another spectral line at 1000 nm. Which of the following statements regarding the origin of the two lines is correct?
a. the energy change producing the 100 nm line is 10 times larger than the change producing the 1000 nm line
b. the energy change producing the 1000 nm line is 10 times larger than the change producing the 100 nm line
c. the 100 nm line is produced by a colder atom
d. the 1000 nm line is emitted by an atom moving away 10x faster than the atom emitting the 100 nm line