Answer:
521 nm
Explanation:
From the question given above, the following data were obtained:
Frequency (v) = 5.76×10¹⁴ s¯¹.
Wavelength (λ) =.?
RECALL: velocity (c) of light = 3×10⁸ m/s
Thus, we can obtain the wavelength of the green light by using the following formula:
c = vλ
3×10⁸ = 5.76×10¹⁴ × λ
Divide both side by 5.76×10¹⁴
λ = 3×10⁸ / 5.76×10¹⁴
λ = 5.21×10¯⁷ m
Next, 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 m × 1×10⁹ nm / 1 m
5.21×10¯⁷ m = 521 nm
Thus, 5.21×10¯⁷ m is equivalent to 521 nm
Therefore, the wavelength (λ) of the photon of the green light is 521 nm.
