12. The intensity of the radiation from an object is found to be 432 GHz. Assuming that the object is a black body, calculate its temperature.

Consider the following transitions 1. n=3 to n=1 2. n=2 to n=33. n=4 to n=34. n=3 to n=5(a) For which of the transitions is energy absorbed? (b) For which of the transitions is energy emitted? (c) Which transitions involve the ground state? (d) Which transition absorbs the most energy? (e) Which transition emits the most energy?

State the Born-Oppenheimer approximation in words and mathematically, and indicate how the mathematical form is implied by the statement.

In high-temperature sources, sodium atoms emit a doublet with an average wavelength of 1139 nm. The transition responsible is from the 4s to 3p state. Set up a spreadsheet to calculate the ratio of the numberof excited atoms in the 4s state to the number in the ground 3s state over the temperature range from anacetylene-oxygen flame (3000°C) to the hottest part of an inductively coupled plasma source (8750°C).

The maximum in the blackbody radiation intensity curve moves to shorter wavelength as temperature increases. The German physicist Wilhelm Wien demonstrated the relation to be max1/T . Later, Planck’s equation showed the maximum to be max=0.20hc/kt . In 1965, scientists researching problems in telecommunication discovered “background radiation” with maximum wavelength 1.05 mm (microwave region of the EM spectrum) throughout space. Estimate the temperature of space.