The radius of the $n=1$ orbit in the hydrogen atom is $a_0=0.053 \mathrm{~nm}$. b) If an electron in the $n=6$ orbit drops to the $n=1$ orbit (ground state), what are the frequency and the wavelength of the emitted radiation? What kind of radiation is emitted (visible, infrared, etc.)?

Explain the origin of an absorption at $510 \mathrm{~nm}(\varepsilon=$ $11000 \mathrm{dm}^3 \mathrm{~mol}^{-1} \mathrm{~cm}^{-1}$ ) in the electronic absorption spectrum of $\left[\mathrm{Fe}(\text { phen })_3\right]^{2+}$

A thin coating $(t=340.0 \mathrm{~nm}, n=1.480)$ is placed on a glass lens. Which visible (400 $\mathrm{nm}<\lambda<700 \mathrm{~nm}$ ) wavelength(s) will be absent in the reflected beam if the glass has an index of refraction $n=1.350$ ?

One series of lines of the hydrogen spectrum is caused by emission of energy accompanying the fall of an electron from outer shells to the third shell. The lines can be calculated using the Balmer-Rydberg equation:

$$\frac{1}{\lambda}=R_{\infty}\left[\frac{1}{m^2}-\frac{1}{n^2}\right]$$

where m=3, $R_{\infty}$ = 1.097 \times 10$^{-2} nm$^{-1}$, and$n$ is an integer greater than 3. Calculate the wavelengths in nanometers and energies in kilojoules per mole of the first two lines in the series. In what region of the electromagnetic spectrum do they fall?

A thin coating $(t=340.0 \mathrm{~nm}, n=1.480)$ is placed on a glass lens. Which visible (400 $\mathrm{nm}<\lambda<700 \mathrm{~nm}$ ) wavelength(s) will be absent in the reflected beam if the glass has an index of refraction $n=1.675$ ?

One series of lines of the hydrogen spectrum is caused by emission of energy accompanying the fall of an electron from outer shells to the third shell. The lines can be calculated using the Balmer-Rydberg equation:

$$\frac{1}{\lambda}=R_{\infty}\left[\frac{1}{m^2}-\frac{1}{n^2}\right]$$

where m=4, $R_{\infty}$ = 1.097 \times 10$^{-2}$ nm $^{-1}$ , and $n$ is an integer greater than 4. Calculate the wavelengths in nanometers and energies in kilojoules per mole of the first two lines in the series. In what region of the electromagnetic spectrum do they fall?

Choose the letter of the term that best completes each sentence.

a. relevant

b. generate

c. document

d. potential

e. temporary

f. visible

g. distinct

h. annual

Business owners strive to increase $\underline{\phantom{\text{justekst}}}$ revenue.

For each underlined word in the following sentences, write the plural above the word.

Example: Where might the various types of $\underline{\text{aurora}}$ auroras or aurorae be visible ?

Those particular $\underline{phenomeno have not yet been fully analyzed.

A disabled tanker leaks kerosene (n = 1.20) into the Persian Gulf, creating a large slick on top of the water (n = 1.30). If you are scuba diving directly under this same region of the slick, for which wavelength(s) of visible light is the transmitted intensity strongest?

(a) Draw all six isomers of formula $\mathrm{C}_{4} \mathrm{H}_{8}$ (including stereoisomers). b) For each structure, show how many types of H would appear in the proton NMR spectrum. (c) For each structure, show how many types of C would appear in the $^{13} \mathrm{C} \mathrm{NMR}$ spectrum. (d) If an unknown compound of formula $\mathrm{C}_{4} \mathrm{H}_{8}$ shows two types of H and three types of C, can you determine its structure from this information?

Correct each sentence by replacing the italicized words with the correct vocabulary term from the Study Guide.

Radio emissions coming from two huge lobes of very hot gas located on opposite sides of the visible galaxy are evidence for cosmology.

Consider the NMR data for cyclohexanone semicarbazone.

a. In the ${ }^1 \mathrm{H}$ NMR spectrum, assign the various resonances to the hydrogen nuclei responsible for them.
b. For the ${ }^{13} \mathrm{C}$ data, assign the various resonances to the carbon nuclei responsible for them.

The following diagram represents the path of visible light as it travels from air to water to air through a glass container of water.

The light does not travel in a straight line because of

(1) convection

(2) scattering

(3) absorption

(4) refraction

Choose the best answer to below of the following. Explain your reasoning with one or more complete sentences.
To achieve the same angular resolution as a visible-light telescope, a radio telescope would need to be
(a) much larger.
(b) slightly larger.
(c) in space.