122k views
3 votes
Given the speed of light as 3 * 10^8 m/s, calculate the wavelength of the electromagnetic radiation whose frequency is 7.5 * 10^12 Hz.

User Kevin Mann
by
6.8k points

1 Answer

4 votes

Final answer:

The wavelength of electromagnetic radiation with a frequency of 7.5 × 1012 Hz and using the speed of light as 3.00 × 108 m/s can be calculated using the formula λ = c / f, resulting in a wavelength of 40 micrometers.

Step-by-step explanation:

To calculate the wavelength of electromagnetic radiation given its frequency, we can use the formula c = λf, where c is the speed of light in a vacuum, λ is the wavelength, and f is the frequency. Given that the speed of light c is 3.00 × 108 m/s and the frequency f is 7.5 × 1012 Hz, we can rearrange the equation to λ = c / f to find the wavelength.

Plugging in the values, λ = (3.00 × 108 m/s) / (7.5 × 1012 Hz), the calculation gives us the wavelength λ, which in this case would be 4.00 × 10-5 meters or 40 micrometers.

User Flandraco
by
7.6k points