What is the de Broglie wavelength associated to an electron of an hydrogen atom that is in the second exited state?

What is the wavelength of the hydrogen Balmer Series photon for m=4 and n=2 using the Rydberg forumla?

An electron has a de Broglie warlength of 2xo - Find Kiredic energy ond the phase and group velo Cibles of As de Brog eie waves,

A) What is the least amount of energy, in electron volts, that must be given to a hydrogen atom which is initially in its ground level so that it can emit the HαHα line in the Balmer series? Express your answer in electronvolts to three significant figures.   B) How many different possibilities of spectral-line emissions are there for this atom when the electron starts in the n = 3 level and eventually ends up in the ground level?

(a) What is the wavelength of light for the least energetic photon emitted in the Balmer series of the hydrogen atom spectrum lines? (b) What is the wavelength of the series limit?

Diatomic line. Consider a line of atoms ABAB... AB, with an A-B bond lengtlh of sa. The form factors are fa» fp for atoms A, B, respectively. The incident beam of X-rays is perpendicular to the line of atoms. (a) Show that the interference condition is nd = a cos 0, where 0 is the angle between the diffracted beam and the line of atoms. (b) Show that the intensity of the diffracted beam is proportional to |f, - fB° for n odd, and to |f, + frl° for n even. (c) Explain what happens if fa = fB-

Compute the typical de Broglie wavelength of an electron in a metal at 27 °C and compare it with the mean separation between two electrons in a metal which is given to be about 2 x 10 10 m.

Find the typical de Broglie wavelength associated with a He atom in helium gas at room temperature (27 °C) and 1 atm pressure; and compare it with the mean separation between two atoms under these conditions.

An alkali atom in its ground state passes through a Stern--Gerlach ap- paratus adjusted so as to transmit atoms that have thcir spins in the +z direction. The atom then spends time T in a magnetic ficld H in the z direction. At the end of this time what is the probability that the atomn would pass through a Stern-Gerlaclı selector for spins in the -z direction? Can this probability be made equal to unity? if so, how? |

What is the Doppler-broadened linewidth of the electronic transition at 821 nm in atomic hydrogen at 300 K?