To determine the frequency associated with a given wavelength, you can use the equation:
c = λν
Where: c is the speed of light in a vacuum (approximately 3.00 × 10^8 m/s), λ (lambda) is the wavelength, and ν (nu) is the frequency.
Rearranging the equation to solve for frequency, we have:
ν = c / λ
Plugging in the values given:
λ = 4.57 × 10^(-7) m
ν = (3.00 × 10^8 m/s) / (4.57 × 10^(-7) m)
Calculating the frequency:
ν ≈ 6.56 × 10^14 Hz
Therefore, the frequency associated with the given wavelength is approximately 6.56 × 10^14 Hz.