Final answer:
The frequency of infrared light with a wavelength of 6.85 μm is approximately 4.38 × 10^13 hertz, calculated using the formula f = c / λ, where c is the speed of light and λ is the wavelength.
Step-by-step explanation:
To calculate the frequency of the infrared light in hertz, we can use the formula:
c = λf
where:
- c is the speed of light in vacuum (approximately 3.0 × 10^8 m/s),
- λ (lambda) is the wavelength of the light (6.85 × 10^-6 m or 6.85 × 10^-6 meters for 6.85 μm),
- f is the frequency of the light in hertz (Hz).
Solving for f, we get:
f = c / λ
f = (3.0 × 10^8 m/s) / (6.85 × 10^-6 m)
f ≈ 4.38 × 10^13 Hz
So, the frequency of the infrared light with a wavelength of 6.85 μm is approximately 4.38 × 10^13 hertz.