91Ó°ÊÓ

In FIGURE Q$41.12,$a photon with energy $2.0eV$is incident on an atom in the $p$state. Does the atom undergo an absorption transition, a stimulated emission transition, or neither? Explain.

Show that $hc=1240eVnm$.

What is the electron configuration of the second excited state of lithium?

a. Is a $4p→4s$transition allowed in sodium? If so, what is its wavelength (in nm)? If not, why not?

b. Is a$3d→4s$ transition allowed in sodium? If so, what is its wavelength (in nm)? If not, why not?

A hydrogen atom is in the $2p$ state. How much time must elapse for there to be a $1.0\%$ chance that this atom will undergo a quantum jump to the ground state?

For an electron in the $1s$state of hydrogen, what is the probability of being in a spherical shell of thickness $0.010a_B$at distance (a) $\frac{1}{2}{a}_B$, (b) $a_B$, and (c) $2a_B$from the proton?

The $5d→3p$transition in the emission spectrum of sodium has a wavelength of $499nm$.What is the energy of the$5d$state ?

A sodium atom emits a photon with wavelength $818nm$nm shortly after being struck by an electron. What minimum speed did the electron have before the collision?

A hydrogen atom has orbital angular momentum $3.65×{10}^{-34}Js$

a. What letter $\left(s,p,dorf\right)$ describes the electron?

b. What is the atom’s minimum possible energy? Explain.

a few energy levels of the mercury atom.

a. Make a table showing all the allowed transitions in the emission spectrum. For each transition, indicate the photon wavelength, in $nm$.

b. What minimum speed must an electron have to excite the $492nm$wavelength blue emission line in the $Hg$spectrum?