For hydrogen, what is the wavelength of the photon emitted when an electron drops from a 4d orbital to a 2p orbital in a hydrogen atom? The Rydberg constant is 1.097 x 10-2 nm-1. A)656.3 nm B)486.2 nm C)364.6 nm D)2.057 x 10-3 nm Solution wavelength = (1 / 1.097e-2)( shell stuff) wavelength = 91 / [(1/n)^2 - (1/n*)^2] = 91 / [(1/2)^2 - (1/4)^2] = 91 / (.25) - (0.0625) = 91 / (0.1875) = 485 nm your answer is b. 486.2 nm.

1. For hydrogen, what is the wavelength of the photon emitted when an electron drops from a 4d
orbital to a 2p orbital in a hydrogen atom? The Rydberg constant is 1.097 x 10-2 nm-1.
A)656.3 nm
B)486.2 nm
C)364.6 nm
D)2.057 x 10-3 nm
Solution
wavelength = (1 / 1.097e-2)( shell stuff)
wavelength = 91 / [(1/n)^2 - (1/n*)^2]
= 91 / [(1/2)^2 - (1/4)^2]
= 91 / (.25) - (0.0625)
= 91 / (0.1875)
= 485 nm
your answer is
b. 486.2 nm