Question

Determine the wavelength of the light absorbed when an electron in a hydrogen atom makes a transition from an orbital in which n = 2 to an orbital in which n =

5. Determine the wavelength of light emitted when an electron in a hydrogen atom makes a transition from an orbital in n = 6 to an orbital in n = 5.

Answer 1

1)
Here photon will be captured and it will excite the atom
1/lambda = -R* (1/nf^2 - 1/ni^2)
R is Rydberg constant. R = 1.097*10^7

1/lambda = - R* (1/nf^2 - 1/ni^2)
1/lambda = - 1.097*10^7* (1/5^2 -   1/2^2)
lambda = 4.369*10^-7 m
lambda = 437 nm
Answer: 437 nm

2)
Here photon will be emitted
1/lambda = R* (1/nf^2 - 1/ni^2)
R is Rydberg constant. R = 1.097*10^7

1/lambda = R* (1/nf^2 - 1/ni^2)
1/lambda = 1.097*10^7* (1/5^2 -   1/6^2)
lambda = 7.458*10^-6 m
lambda = 7458 nm
Answer: 7458 nm