# Homework 9

- Page ID
- 204087

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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.