Respuesta :
The wavelength of light that would be emitted if electrons moved from the =20 shell to the =2 shell is equal to 8.12 x 10^14 Hz.
Wavelength
To calculate the wavelength emitted when an electron jumps from one level to another, use the following expression:
[tex]E = R_h (\frac{1}{n_{i}^{2}} - \frac{1}{n_{f}^{2}} )[/tex]
So, substituting the values given by the question we have:
[tex]E = -2.179 \times 10^{-18} (\frac{1}{20^{2}} - \frac{1}{2^{2}} )[/tex]
[tex]E = -2.179 \times 10^{-18} (\frac{1}{400} - \frac{1}{4})[/tex]
[tex]E = 5.39 \times 10^{-19}[/tex]J
Finally, with the value of the emitted energy, it is enough to find the value of the wavelength by the following expression:
[tex]V = \frac{E}{h}[/tex]
[tex]V = \frac{5.39 \times 10^{-19}}{6.63 \times 10^{-34}}[/tex]
[tex]V =8.12 \times 10^{14} Hz[/tex]
So, the wavelength of light that would be emitted if electrons moved from the =20 shell to the =2 shell is equal to 8.12 x 10^14 Hz.
Learn more about wavelength in: brainly.com/question/7259351
