Question

Determine the wavelength of incident electromagnetic radiation required to cause an electron transition from the n = 5 to the n = 7 level in a hydrogen atom.

Answer 1

The correct answer is: wavelength = 4562 nm

Step-by-step explanation:

Rydberg's formula is given as:

`(1)/(\lambda) = R[ (1)/(n_1^2) - (1)/(n_2^2) ]` --- (1)

Where
R = Rydberg's constant = 1.096 * 10^7 per meter

`n_1` = 5

`n_2` = 7

λ = Wavelength

Plug in the values in (1):

(1)=>
`(1)/(\lambda) = (1.096 * 10^7)[ (1)/(5^2) - (1)/(7^2) ]`


`(1)/(\lambda) = (1.096 * 10^7)[ 0.04 - 0.020 ] \\ \lambda = (1)/((1.096 * 10^7)[0.020 ]) \\ \lambda = 4562 nm`