Answer:
Option (b) "174 nm"
Explanation:
Energy of emitted photon is 7.13 eV.
We need to find the wavelength of the photon.
1 eV = 1.6 × 10⁻¹⁹ J
Energy of a photon is given by :
[tex]E=\dfrac{hc}{\lambda}[/tex]
Where, [tex]\lambda[/tex] is wavelength of the photon
Putting all the values,
[tex]\lambda=\dfrac{hc}{E}\\\\\lambda=\dfrac{6.63\times 10^{-34}\times 3\times 10^8}{7.13\times 1.6\times 10^{-19}}\\\\\lambda=1.74\times 10^{-7}\ m\\\\\text{or}\\\\\lambda=174\ nm[/tex]
So, the wavelength of the photon is 174 nm.