# Homework 9 (Due 7/12/16 @ 10:00 a.m.)

Name: ______________________________

Section: _____________________________

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### Q1

The wavelength of the red line in the Hydrogen spectrum is 656 nm ($$656 \times 10^{-9}\; m$$). What is the wavenumber and frequency of it?

### Q2

Find the uncertainty of simultaneously measuring the frequency and wavelength of an emission, if the wavelength is 430 nm and the excited state lifetime is 0.50 nanoseconds.

### Q3

Which of the following set of molecules: $$O_2$$, $$HF$$, $$CCl_4$$, $$H_2O$$ and $$CO$$ exhibit a microwave spectrum?

### Q4

The rotational constant for the ground vibrational state for $$^{12}C^{16}O$$, denoted $$B_0$$ is 1.9314 cm-1. Using the rigid rotor approximation to calculate the equilibrium internuclear distance.

### Q5

Calculate the frequency of the $$J = 4 \rightarrow 3$$ transition in the pure rotational spectra of $$^{14}N^{16}O$$ and $$O_2$$. The equilibrium bond lengths are 115 pm and 121 pm.