Answer:
521 nm
Explanation:
The following data were obtained from the question:
Frequency (f) = 5.76×10¹⁴ s¯¹
Wavelength (λ) =?
Velocity (v) , wavelength (λ) and frequency of a wave are related according to the following equation:
Velocity (v) = wavelength (λ) × frequency (f)
v = λf
With the above equation, we can obtain the wavelength of the photon of the green light as follow:
Frequency (f) = 5.76×10¹⁴ s¯¹
Velocity of light (v) = 3×10⁸ m/s
Wavelength (λ) =?
v = λf
3×10⁸ = λ × 5.76×10¹⁴
Divide both side by 5.76×10¹⁴
λ = 3×10⁸ / 5.76×10¹⁴
λ = 5.21×10¯⁷ m
Finally, we shall convert 5.21×10¯⁷ m to nanometer (nm).
This can be obtained as follow:
1 m = 1×10⁹ nm
Therefore,
5.21×10¯⁷ m = 5.21×10¯⁷ × 1×10⁹
5.21×10¯⁷ m = 521 nm
Therefore, the wavelength (λ) of the photon of the green light is 521 nm
