Respuesta :
Answer: Option (a) is the correct answer.
Explanation:
The given data is as follows.
wavelength of red photon ([tex]\lambda_{1}[/tex]) = 700 nm
wavelength of infrared photon ([tex]\lambda_{2}[/tex]) = 1750 nm
Therefore, calculate the wavelength of absorbed photon as follows.
[tex]\frac{1}{\lambda_{abs}} = \frac{1}{\lambda_{1}} + \frac{1}{\lambda_{2}}[/tex]
= [tex]\frac{1}{700} + \frac{1}{1750}[/tex]
= [tex]\frac{2450}{1225000}[/tex]
or, [tex]\lambda_{abs}[/tex] = [tex]\frac{1225000}{2450}[/tex]
= 500 nm
Therefore, we can conclude that the wavelength of the absorbed photon is 500 nm.
The wavelength of the absorbed photon is 500 nanometers.
Given the following data:
- Wavelength of red photon = 700 nm
- Wavelength of infrared photon = 1750 nm
To find the wavelength of the absorbed photon:
The energy of a photon is inversely proportional to the wavelength of a photon.
Mathematically, this is given by:
[tex]E[/tex] ∝ [tex]\frac{1}{W}[/tex]
Where:
- E is the energy.
- W is the wavelength.
The above formula can be rewritten as follows:
[tex]\frac{1}{W} = \frac{1}{W_1} + \frac{1}{W_2}[/tex]
Substituting the given parameters into the formula, we have;
[tex]\frac{1}{W_\alpha } = \frac{1}{700} + \frac{1}{1750}\\\\\frac{1}{W_\alpha } = \frac{1}{500} \\\\W_\alpha = 500[/tex]
Therefore, the wavelength of the absorbed photon is 500 nanometers.
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