Using the Rydberg calculate the emission wavelengths and state the region of the electromagnetic spectrum of those wavelengths (UV, visible, or infrared) for electron transitions going from a. n-6 to n=3 b. n-3 ton=1

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1. Using the Rydberg equation, calculate the emission wavelengths and state the region of the electromagnetic spectrum of those wavelengths (UV, visible, or infrared) for electron transitions going from

   a. \( n=6 \) to \( n=3 \)

   b. \( n=3 \) to \( n=1 \)

2. During relaxation, an electron emits a photon with a wavelength of 425nm. Assuming the electron was relaxing from the 5th energy level, use the Rydberg equation to calculate what the final energy level would be.
Transcribed Image Text:1. Using the Rydberg equation, calculate the emission wavelengths and state the region of the electromagnetic spectrum of those wavelengths (UV, visible, or infrared) for electron transitions going from a. \( n=6 \) to \( n=3 \) b. \( n=3 \) to \( n=1 \) 2. During relaxation, an electron emits a photon with a wavelength of 425nm. Assuming the electron was relaxing from the 5th energy level, use the Rydberg equation to calculate what the final energy level would be.
Expert Solution
Step 1

For the hydrogen like atom the electronic transition occurs between n2 and n1. If the corresponding wavelength for this transition is λ, then 

1/λRH1n12-1n22× z2

a) for n= 6 to n= 3

here n1=3 n2=6                                                                                            n1 - final orbital   n2- initial orbital  

                                                                                                              RH - Rydberg constant for H atom = 109677cm-1

1/λRH1n12-1n22× z2

      =109677 132-162× 12

      =9139.75cm-1

λ = 1/ 9139.75 = 1.09x10-4 cm

The region corresponding to this particular wavelength is Infrared (IR zone)

 

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