What is the frequency of light with a wavelength of 634 nm?

To determine the frequency of light from its wavelength, you can use the formula that relates wavelength (λ) and frequency (ν):

[ c = ν × λ ]

where ( c ) is the speed of light in vacuum, approximately ( 3.00 \times 10^8 ) meters per second.

First, it's essential to convert the wavelength from nanometers to meters, since the speed of light is in meters. Given that 1 nanometer (nm) is equal to ( 1 \times 10^{-9} ) meters, a wavelength of 634 nm is converted to meters as follows:

[ 634 , \text{nm} = 634 \times 10^{-9} , \text{m} ]

Next, using the speed of light equation, we can rearrange it to solve for frequency:

[ ν = \frac{c}{λ} ]

Substituting in the known values:

[ ν = \frac{3.00 \times 10^8 , \text{m/s}}{634 \times 10^{-9} , \text{m}} ]

Calculating this gives:

[