The Calculation of Light Wavelength in Nanometers

What is the wavelength of light with a frequency of 6.98 x 10^24 Hz?

A) 4.3 x 10^(-17) nm B) 4.3 x 10^(-7) nm C) 4.3 x 10^(-27) nm D) 4.3 x 10^(-37) nm

Answer:

The wavelength of the light emitted by a laser with a frequency of 6.98 x 10^24 Hz is 4.3 x 10^(-17) nm.

To calculate the wavelength of light, we can use the equation:

c = λν

Where c is the speed of light, λ is the wavelength, and ν is the frequency. Rearranging the equation, we have:

λ = c / ν

Given that the frequency of the laser light is 6.98 x 10^24 Hz, and the speed of light is approximately 3.0 x 10^8 m/s, we can substitute these values into the equation to find the wavelength:

λ = (3.0 x 10^8 m/s) / (6.98 x 10^24 Hz) = 4.3 x 10^-17 meters = 4.3 x 10^-8 nm

Therefore, the correct answer is option A) 4.3 x 10^(-17) nm.