Question

Determining wavelength An infrared wave traveling through a vacuum has a frequency of 4.0 1014 Hz. What is the wave's wavelength?

a) 75 x 107 m
b) 7.5 x 10-7m
c) 12 x 1014 m
d) 1.2 x 10-14 m"

Answer 1

The wavelength of an infrared wave with a frequency of 4.0 × 1014 Hz is 7.5 × 10-7 meters, which is obtained by using the relationship between the speed of light, frequency, and wavelength. The correct answer is option b.

Step-by-step explanation:

To determine the wavelength of an infrared wave in a vacuum when given the frequency, one would use the formula: λ = c / f, where λ is the wavelength, c is the speed of light in a vacuum (3.00 × 108 m/s), and f is the frequency. In this case, the frequency (f) of the infrared wave is given as 4.0 × 1014 Hz.

By substituting the known values into the formula, we get λ = 3.00 × 108 m/s / 4.0 × 1014 Hz. When we calculate this, we get λ = 7.5 × 10-7 meters. Therefore, the wave's wavelength of the infrared wave traveling through a vacuum with a frequency of 4.0 × 1014 Hz is 7.5 × 10-7 meters, which corresponds to option b. This is the mention correct option in Final Part of the answer.