91Ó°ÊÓ

A line of the Lyman series of the hydrogen atom spectrum has the wavelength \(9.50 \times 10^{-8} \mathrm{~m} .\) It results from a transition from an upper energy level to \(n=1\). What is the principal quantum number of the upper level?

A hydrogen-like ion has a nucleus of charge \(+Z e\) and a single electron outside this nucleus. The energy levels of these ions are \(-Z^{2} R_{\mathrm{H}} / n^{2}\) (where \(Z=\) atomic number). Calculate the wavelength of the transition from \(n=3\) to \(n=2\) for \(\mathrm{He}^{+}\), a hydrogen-like ion. In what region of the spectrum does this emission occur?

What is the wavelength of the transition from \(n=5\) to \(n=3\) for \(\mathrm{Li}^{2+} ?\) In what region of the spectrum does this emission occur? \(\mathrm{Li}^{2+}\) is a hydrogen-like ion. Such an ion has a nucleus of charge \(+Z e\) and a single electron outside this nucleus. The energy levels of the ion are \(-Z^{2} R_{\mathrm{H}} / n^{2}\), where \(Z\) is the atomic number.

An electron microscope employs a beam of electrons to obtain an image of an object. What energy must be imparted to each electron of the beam to obtain a wavelength of \(10.0 \mathrm{pm} ?\) Obtain the energy in electron volts \((\mathrm{eV})(1 \mathrm{eV}=1.602 \times\) \(\left.10^{-19} \mathrm{~J}\right)\)

Neutrons are used to obtain images of the hydrogen atoms in molecules. What energy must be imparted to each neutron in a neutron beam to obtain a wavelength of \(10.0 \mathrm{pm}\) ? Obtain the energy in electron volts \((\mathrm{eV})\left(1 \mathrm{eV}=1.602 \times 10^{-19} \mathrm{~J}\right)\)

What is the number of different orbitals in each of the following subshells? a. \(3 d\) b. \(4 f \quad\) c. \(4 p\) d. \(5 s\)

What is the number of different orbitals in each of the following subshells? a. \(6 g\) b. \(4 f \quad\) c. \(6 s\) d. \(5 p\)

List the possible subshells for the \(n=6\) shell.

List the possible subshells for the \(n=7\) shell.

What are gamma rays? How does the gamma radiation of foods improve their shelf life?