what is the frequency of a wavelength of 764 nm?

Change nm to m and use

c = frequency x wavelength

To find the frequency of a wavelength, you can use the formula:

frequency = speed of light / wavelength

The speed of light is a constant value, approximately equal to 3.00 x 10^8 meters per second.

First, convert the given wavelength from nanometers (nm) to meters (m). Since 1 meter is equal to 1 billion nanometers, you can divide 764 nm by 1 billion to get the equivalent value in meters.

764 nm = 764 / 1,000,000,000 m

Next, substitute the values into the formula to calculate the frequency:

frequency = (3.00 x 10^8 m/s) / (764 / 1,000,000,000 m)

Simplifying the expression:

frequency = (3.00 x 10^8 m/s) * (1,000,000,000 m / 764)

Finally, calculate the frequency by multiplying the speed of light by the conversion factor:

frequency ≈ 3.927 x 10^14 Hz

Therefore, the frequency of a wavelength of 764 nm is approximately 3.927 x 10^14 Hz.