The wavelength of a particular color of green light is 504 nm.

The frequency of this color is ___sec-1.

c = freqency x wavelength

3E8 m/s = freqency x 504E-9 m

am confused

An explanation like that doesn't help. Confused about what?

c = speed of light = 3 x 10^8 meters/second

frequency is what you solve for. That's the unknown
wavelength = 504 nm = 504 x 10^-9 meters

To find the frequency of green light with a wavelength of 504 nm, you can use the equation:

c = λν

where:
c = the speed of light in a vacuum (approximately 2.998 × 10^8 meters per second)
λ = the wavelength of the light in meters
ν = the frequency of the light in hertz (sec^-1)

First, convert the wavelength from nanometers to meters by dividing it by 10^9:

λ = 504 nm / 10^9 = 5.04 × 10^-7 meters

Next, insert the known values into the equation:

2.998 × 10^8 m/s = (5.04 × 10^-7 m) × ν

To find ν, divide both sides of the equation by (5.04 × 10^-7 m):

ν = (2.998 × 10^8 m/s) / (5.04 × 10^-7 m)

Calculating this gives us the frequency of the green light:

ν ≈ 5.95 × 10^14 sec^-1

Therefore, the frequency of the green light is approximately 5.95 × 10^14 sec^-1.