Final answer:
The wavelength of the CO2 laser beam is 1.06 x 10^-4 cm.
Step-by-step explanation:
In order to calculate the wavelength of the laser beam, we can use the equation:
wavelength = 2 * length of the cavity / mode number
Plugging in the given values:
wavelength = 2 * 53.00 cm / 100,000 = 1.06 x 10-4 cm
Therefore, the wavelength of the laser beam is 1.06 x 10-4 cm.