Chapter 27, Problem 60A

To determine

To determine the frequency of CO₂laser and also the region of the electromagnetic spectrum in which the CO₂ laser frequency lies.

Answer to Problem 60A

The frequency range is 300GHz - 3×10¹³Hz and the it is in the region of the microwave/infrared.

Explanation of Solution

Given data:

Wavelength of CO₂(λ ) = 10.6 µm = 1.06×10-5 m.

Formula used:

  $f=\frac{c}{\lambda }$ Hz.

Calculation:

We know that, the speed of light c =3×10⁸m/s.

Substituting the values in the equation of frequency (f) is,

  $=\frac{3\times {10}^{8}m/s}{1.06\times {10}^{-5}m}$ Hz.

= 2.8×10¹³Hz.

Therefore, the range is 300GHz - 3×10¹³Hz from obtained values corresponds to the electromagnetic spectrum.

Conclusion:

The range of frequency 300GHz - 3×10¹³Hz and falls under the microwave/infrared region on the electromagnetic spectrum.