Question

Covalent bonds in a molecule absorb radiation in the IR region and vibrate at characteristic frequencies.

A molecular vibration absorbs radiation of wavelength 188 μm. What frequency (in s−1) corresponds to that wavelength? Enter your answer in scientific notation.

Answer 1

Answer:

$Frequency=1.6\times 10^{12}\ Hz$

Explanation:

The relation between frequency and wavelength is shown below as:

$c=frequency\times Wavelength$

c is the speed of light having value $3\times 10^8\ m/s$

Given, Wavelength = 188 μm

Also, 1 μm = $10^{-6}$ nm

So,  

Wavelength = $188\times 10^{-6}$ m

Thus, Frequency is:

$Frequency=\frac{c}{Wavelength}$

$Frequency=\frac{3\times 10^8}{188\times 10^{-6}}\ Hz$

$Frequency=1.6\times 10^{12}\ Hz$