(3.0 x 10^8) / (5.76 x 10^14 s-1)

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

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