The blue color of the sky results from the scattering of sunlight by air molecules. The blue light has a frequency of about 7.5 * 10^14 Hz. What is the wavelength of this radiation in nanometers?

4x10^-16

To calculate the wavelength of the blue light, we can use the formula:

wavelength = speed of light / frequency

The speed of light is approximately 3.00 * 10^8 meters per second.

Converting this speed into nanometers per second:

3.00 * 10^8 meters/second = 3.00 * 10^17 nanometers/second

Now we can substitute the values into the formula:

wavelength = (3.00 * 10^17 nanometers/second) / (7.5 * 10^14 Hz)

Calculating the wavelength:

wavelength = 4.00 * 10^2 nanometers

Therefore, the wavelength of the blue light is approximately 400 nanometers.

To find the wavelength of radiation, you can use the speed of light equation, which states that the speed of light (c) is equal to the product of the wavelength (λ) and the frequency (f): c = λ * f. We can rearrange this equation to solve for wavelength (λ): λ = c / f.

The speed of light is approximately 3.00 x 10^8 meters per second (m/s), and the frequency of the blue light is 7.5 x 10^14 Hz. To convert this frequency to meters, we divide it by 1 Hz/second. Thus:

λ = (3.00 x 10^8 m/s) / (7.5 x 10^14 Hz)

By canceling the units, we get:

λ = ( 3.00 x 10^8 m/s / Hz ) / ( 7.5 x 10^14 Hz)

Simplifying the expression further:

λ = 4.00 x 10^-7 meters

Finally, to convert this to nanometers, we multiply by the conversion factor of 1 x 10^9 nm/m:

λ = (4.00 x 10^-7 meters) x (1 x 10^9 nm/m)

λ = 400 nm

Therefore, the wavelength of this blue light radiation is approximately 400 nanometers.

frequency*wavelength=speedoflight

find wavelength.