The correct answer is: wavelength = 4562 nm
Explanation:
Rydberg's formula is given as:
[tex] \frac{1}{\lambda} = R[ \frac{1}{n_1^2} - \frac{1}{n_2^2} ] [/tex] --- (1)
Where
R = Rydberg's constant = 1.096 * 10^7 per meter
[tex]n_1 [/tex] = 5
[tex]n_2[/tex] = 7
λ = Wavelength
Plug in the values in (1):
(1)=> [tex]\frac{1}{\lambda} = (1.096 * 10^7)[ \frac{1}{5^2} - \frac{1}{7^2} ][/tex]
[tex]\frac{1}{\lambda} = (1.096 * 10^7)[ 0.04 - 0.020 ] \\ \lambda = \frac{1}{(1.096 * 10^7)[0.020 ]} \\ \lambda = 4562 nm[/tex]
