{"id":177,"date":"2019-04-05T21:25:07","date_gmt":"2019-04-06T01:25:07","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/bcitphys8400\/?post_type=chapter&p=177"},"modified":"2019-04-16T12:50:56","modified_gmt":"2019-04-16T16:50:56","slug":"chapter-2-answer-key","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/bcitphys8400\/chapter\/chapter-2-answer-key\/","title":{"raw":"Chapter 2 Answer Key","rendered":"Chapter 2 Answer Key"},"content":{"raw":"
\r\n

Check Your Understanding<\/span><\/h3>\r\n
\r\n\r\n2.1<\/a>\r\n
\r\n\r\n\u00a0<\/span>Bunsen\u2019s burner\r\n\r\n<\/div>\r\n<\/div>\r\n
\r\n\r\n2.2<\/a>\r\n
\r\n\r\n\u00a0<\/span>The wavelength of the radiation maximum decreases with increasing temperature.\r\n\r\n<\/div>\r\n<\/div>\r\n
\r\n\r\n2.3<\/a>\r\n
\r\n\r\n\u00a0<\/span>T\u03b1\/T\u03b2=1\/3\u22450.58,<\/span><\/span><\/span>\u00a0<\/span>so the star\u00a0<\/span>\u03b2<\/span><\/span><\/span>\u00a0<\/span>is hotter.\r\n\r\n<\/div>\r\n<\/div>\r\n
\r\n\r\n2.4<\/a>\r\n
\r\n\r\n\u00a0<\/span>3.3\u00d710\u221219J<\/span><\/span><\/span>\r\n\r\n<\/div>\r\n<\/div>\r\n
\r\n\r\n2.5<\/a>\r\n
\r\n\r\n\u00a0<\/span>No, because then\u00a0<\/span>\u0394E\/E\u224810\u221221<\/span><\/span><\/span>\r\n\r\n<\/div>\r\n<\/div>\r\n
\r\n\r\n2.6<\/a>\r\n
\r\n\r\n\u00a0<\/span>\u22120.91<\/span><\/span><\/span>\u00a0<\/span>V; 1040 nm\r\n\r\n<\/div>\r\n<\/div>\r\n
\r\n\r\n2.7<\/a>\r\n
\r\n\r\n\u00a0<\/span>h=6.40\u00d710\u221234J\u00b7s=4.0\u00d710\u221215eV\u00b7s;\u22123.5%<\/span><\/span><\/span>\r\n\r\n<\/div>\r\n<\/div>\r\n
\r\n\r\n2.8<\/a>\r\n
\r\n\r\n\u00a0<\/span>(\u0394\u03bb)min=0m<\/span><\/span><\/span>\u00a0<\/span>at a\u00a0<\/span>0\u00b0<\/span><\/span><\/span>\u00a0<\/span>angle;\u00a0<\/span>71.0pm+0.5\u03bbc=72.215pm<\/span><\/span><\/span>\r\n\r\n<\/div>\r\n<\/div>\r\n
\r\n\r\n2.9<\/a>\r\n
\r\n\r\n\u00a0<\/span>121.5 nm and 91.1 nm; no, these spectral bands are in the ultraviolet\r\n\r\n<\/div>\r\n<\/div>\r\n
\r\n\r\n2.10<\/a>\r\n
\r\n\r\n\u00a0<\/span>v2=1.1\u00d7106m\/s\u22450.0036c;<\/span><\/span><\/span>\u00a0<\/span>L2=2\u210fK2=3.4eV<\/span><\/span><\/span>\r\n\r\n<\/div>\r\n<\/div>\r\n
\r\n\r\n2.11<\/a>\r\n
\r\n\r\n\u00a0<\/span>29 pm\r\n\r\n<\/div>\r\n<\/div>\r\n
\r\n\r\n2.12<\/a>\r\n
\r\n\r\n\u00a0<\/span>\u03bb=2\u03c0na0=2(3.324\u00c5)=6.648\u00c5<\/span><\/span><\/span>\r\n\r\n<\/div>\r\n<\/div>\r\n
\r\n\r\n2.13<\/a>\r\n
\r\n\r\n\u00a0<\/span>\u03bb=2.14pm;<\/span><\/span><\/span>\u00a0<\/span>K=261.56keV<\/span><\/span><\/span>\r\n\r\n<\/div>\r\n<\/div>\r\n
\r\n\r\n2.14<\/a>\r\n
\r\n\r\n\u00a0<\/span>0.052\u00b0<\/span><\/span><\/span>\r\n\r\n<\/div>\r\n<\/div>\r\n
\r\n\r\n2.15<\/a>\r\n
\r\n\r\n\u00a0<\/span>doubles it\r\n\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n
\r\n

Conceptual Questions<\/span><\/a><\/h3>\r\n
\r\n\r\n1.\u00a0<\/span><\/span>\r\n
\r\n

yellow<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n3.\u00a0<\/span><\/span>\r\n
\r\n

goes from red to violet through the rainbow of colors<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n5.\u00a0<\/span><\/span>\r\n
\r\n

would not differ<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n7.\u00a0<\/span><\/span>\r\n
\r\n

human eye does not see IR radiation<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n9.\u00a0<\/span><\/span>\r\n
\r\n

No<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n11.\u00a0<\/span><\/span>\r\n
\r\n

from the slope<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n13.\u00a0<\/span><\/span>\r\n
\r\n

Answers may vary<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n15.\u00a0<\/span><\/span>\r\n
\r\n

the particle character<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n17.\u00a0<\/span><\/span>\r\n
\r\n

Answers may vary<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n19.\u00a0<\/span><\/span>\r\n
\r\n

no; yes<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n21.\u00a0<\/span><\/span>\r\n
\r\n

no<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n23.\u00a0<\/span><\/span>\r\n
\r\n

right angle<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n25.\u00a0<\/span><\/span>\r\n
\r\n

no<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n27.\u00a0<\/span><\/span>\r\n
\r\n

They are at ground state.<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n29.\u00a0<\/span><\/span>\r\n
\r\n

Answers may vary<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n31.\u00a0<\/span><\/span>\r\n
\r\n

increase<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n33.\u00a0<\/span><\/span>\r\n
\r\n

for larger\u00a0<\/span>n<\/em><\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n35.\u00a0<\/span><\/span>\r\n
\r\n

Yes, the excess of 13.6 eV will become kinetic energy of a free electron.<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n37.\u00a0<\/span><\/span>\r\n
\r\n

no<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n39.\u00a0<\/span><\/span>\r\n
\r\n

X-rays, best resolving power<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n41.\u00a0<\/span><\/span>\r\n
\r\n

proton<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n43.\u00a0<\/span><\/span>\r\n
\r\n

negligibly small de Broglie\u2019s wavelengths<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n45.\u00a0<\/span><\/span>\r\n
\r\n

to avoid collisions with air molecules<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n47.\u00a0<\/span><\/span>\r\n
\r\n

Answers may vary<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n49.\u00a0<\/span><\/span>\r\n
\r\n

Answers may vary<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n51.\u00a0<\/span><\/span>\r\n
\r\n

yes<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n53.\u00a0<\/span><\/span>\r\n
\r\n

yes<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n

\r\n

Problems<\/span><\/a><\/h3>\r\n
\r\n\r\n55.\u00a0<\/span><\/span>\r\n
\r\n

a. 0.81 eV; b.\u00a0<\/span>2.1\u00d71023;<\/span><\/span><\/span>\u00a0<\/span>c. 2 min 20 sec<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n57.\u00a0<\/span><\/span>\r\n
\r\n

a. 7245 K; b. 3.62 \u03bcm<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n59.\u00a0<\/span><\/span>\r\n
\r\n

about 3 K<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n61.\u00a0<\/span><\/span>\r\n
\r\n

4.835\u00d71018<\/span><\/span><\/span>\u00a0<\/span>Hz; 0.620 \u00c5<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n63.\u00a0<\/span><\/span>\r\n
\r\n

263 nm; no<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n65.\u00a0<\/span><\/span>\r\n
\r\n

3.68 eV<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n67.\u00a0<\/span><\/span>\r\n
\r\n

4.09 eV<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n69.\u00a0<\/span><\/span>\r\n
\r\n

5.54 eV<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n71.\u00a0<\/span><\/span>\r\n
\r\n

a. 1.89 eV; b. 459 THz; c. 1.21 V<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n73.\u00a0<\/span><\/span>\r\n
\r\n

264 nm; UV<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n75.\u00a0<\/span><\/span>\r\n
\r\n

1.95\u00d7106m\/s<\/span><\/span><\/span><\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n77.\u00a0<\/span><\/span>\r\n
\r\n

1.66\u00d710\u221232kg\u00b7m\/s<\/span><\/span><\/span><\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n79.\u00a0<\/span><\/span>\r\n
\r\n

56.21 eV<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n81.\u00a0<\/span><\/span>\r\n
\r\n

6.63\u00d710\u221223kg\u00b7m\/s;<\/span><\/span><\/span>\u00a0<\/span>124 keV<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n83.\u00a0<\/span><\/span>\r\n
\r\n

82.9 fm; 15 MeV<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n85.\u00a0<\/span><\/span>\r\n
\r\n

(Proof)<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n87.\u00a0<\/span><\/span>\r\n
\r\n

\u0394\u03bb30\/\u0394\u03bb45=45.74%<\/span><\/span><\/span><\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n89.\u00a0<\/span><\/span>\r\n
\r\n

121.5 nm<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n91.\u00a0<\/span><\/span>\r\n
\r\n

a. 0.661 eV; b. \u201310.2 eV; c. 1.511 eV<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n93.\u00a0<\/span><\/span>\r\n
\r\n

3038 THz<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n95.\u00a0<\/span><\/span>\r\n
\r\n

97.33 nm<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n97.\u00a0<\/span><\/span>\r\n
\r\n

a. h\/\u03c0;<\/span><\/span><\/span>\u00a0<\/span>b. 3.4 eV; c. \u2013 6.8 eV; d. \u2013 3.4 eV<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n99.\u00a0<\/span><\/span>\r\n
\r\n

n=4<\/span><\/span><\/span><\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n101.\u00a0<\/span><\/span>\r\n
\r\n

365 nm; UV<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n103.\u00a0<\/span><\/span>\r\n
\r\n

no<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n105.\u00a0<\/span><\/span>\r\n
\r\n

7<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n107.\u00a0<\/span><\/span>\r\n
\r\n

145.5 pm<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n109.\u00a0<\/span><\/span>\r\n
\r\n

20 fm; 9 fm<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n111.\u00a0<\/span><\/span>\r\n
\r\n

a. 2.103 eV; b. 0.846 nm<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n113.\u00a0<\/span><\/span>\r\n
\r\n

80.9 pm<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n115.\u00a0<\/span><\/span>\r\n
\r\n

2.21\u00d710\u221219m\/s<\/span><\/span><\/span><\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n117.\u00a0<\/span><\/span>\r\n
\r\n

9.929\u00d71032<\/span><\/span><\/span><\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n119.\u00a0<\/span><\/span>\r\n
\r\n

\u03b3=1060;<\/span><\/span><\/span>\u00a0<\/span>0.00124 fm<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n121.\u00a0<\/span><\/span>\r\n
\r\n

24.11 V<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n123.\u00a0<\/span><\/span>\r\n
\r\n

a.\u00a0<\/span>P=2I\/c=8.67\u00d710\u22126N\/m2;<\/span><\/span><\/span>\u00a0<\/span>b.\u00a0<\/span>a=PA\/m=8.67\u00d710-4m\/s2;<\/span><\/span><\/span>\u00a0<\/span>c. 74.91 m\/s<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n125.\u00a0<\/span><\/span>\r\n
\r\n

x=4.965<\/span><\/span><\/span><\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n

\r\n

Additional Problems<\/span><\/a><\/h3>\r\n
\r\n\r\n127.\u00a0<\/span><\/span>\r\n
\r\n

7.124\u00d71016W\/m3<\/span><\/span><\/span><\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n129.\u00a0<\/span><\/span>\r\n
\r\n

1.034 eV<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n131.\u00a0<\/span><\/span>\r\n
\r\n

5.93\u00d71018<\/span><\/span><\/span><\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n133.\u00a0<\/span><\/span>\r\n
\r\n

387.8 nm<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n135.\u00a0<\/span><\/span>\r\n
\r\n

a.\u00a0<\/span>4.02\u00d71015;<\/span><\/span><\/span>\u00a0<\/span>b. 0.533 mW<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n137.\u00a0<\/span><\/span>\r\n
\r\n

a.\u00a0<\/span>4.02\u00d71015;<\/span><\/span><\/span>\u00a0<\/span>b. 0.533 mW; c. 0.644 mA; d. 2.57 ns<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n139.\u00a0<\/span><\/span>\r\n
\r\n

a. 0.132 pm; b. 9.39 MeV; c. 0.047 MeV<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n141.\u00a0<\/span><\/span>\r\n
\r\n

a. 2 kJ; b.\u00a0<\/span>1.33\u00d710\u22125kg\u00b7m\/s;<\/span><\/span><\/span>\u00a0<\/span>c.\u00a0<\/span>1.33\u00d710\u22125N;<\/span><\/span><\/span>\u00a0<\/span>d. yes<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n143.\u00a0<\/span><\/span>\r\n
\r\n

a. 0.003 nm; b.\u00a0<\/span>105.56\u00b0<\/span><\/span><\/span><\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n145.\u00a0<\/span><\/span>\r\n
\r\n

n=3<\/span><\/span><\/span><\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n147.\u00a0<\/span><\/span>\r\n
\r\n

a.\u00a0<\/span>a0\/2;<\/span><\/span><\/span>\u00a0<\/span>b.\u00a0<\/span>\u221254.4eV\/n2;<\/span><\/span><\/span>\u00a0<\/span>c.\u00a0<\/span>a0\/3,\u2212122.4eV\/n2<\/span><\/span><\/span><\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n149.\u00a0<\/span><\/span>\r\n
\r\n

a. 36; b. 18.2 nm; c. UV<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n151.\u00a0<\/span><\/span>\r\n
\r\n

396 nm; 5.23 neV<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n153.\u00a0<\/span><\/span>\r\n
\r\n

7.3 keV<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n155.\u00a0<\/span><\/span>\r\n
\r\n

728 m\/s;\u00a0<\/span>1.5\u03bcV<\/span><\/span><\/span><\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n157.\u00a0<\/span><\/span>\r\n
\r\n

\u03bb=hc\/K(2E0+K)=3.705\u00d710\u221212m,K=100keV<\/span><\/span><\/span><\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n159.\u00a0<\/span><\/span>\r\n
\r\n

\u0394\u03bbc(electron)\/\u0394\u03bbc(proton)=mp\/me=1836<\/span><\/span><\/span><\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n161.\u00a0<\/span><\/span>\r\n
\r\n

(Proof)<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n

\r\n\r\n163.<\/span>\r\n
\r\n

5.1\u00d71017Hz<\/span><\/span><\/span><\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n \r\n

Download for free at http:\/\/cnx.org\/contents\/af275420-6050-4707-995c-57b9cc13c358@11.1<\/em><\/div>\r\n<\/div>","rendered":"
\n

Check Your Understanding<\/span><\/h3>\n
\n

2.1<\/a><\/p>\n

\n

\u00a0<\/span>Bunsen\u2019s burner<\/p>\n<\/div>\n<\/div>\n

\n

2.2<\/a><\/p>\n

\n

\u00a0<\/span>The wavelength of the radiation maximum decreases with increasing temperature.<\/p>\n<\/div>\n<\/div>\n

\n

2.3<\/a><\/p>\n

\n

\u00a0<\/span>T\u03b1\/T\u03b2=1\/3\u22450.58,<\/span><\/span><\/span>\u00a0<\/span>so the star\u00a0<\/span>\u03b2<\/span><\/span><\/span>\u00a0<\/span>is hotter.<\/p>\n<\/div>\n<\/div>\n

\n

2.4<\/a><\/p>\n

\n

\u00a0<\/span>3.3\u00d710\u221219J<\/span><\/span><\/span><\/p>\n<\/div>\n<\/div>\n

\n

2.5<\/a><\/p>\n

\n

\u00a0<\/span>No, because then\u00a0<\/span>\u0394E\/E\u224810\u221221<\/span><\/span><\/span><\/p>\n<\/div>\n<\/div>\n

\n

2.6<\/a><\/p>\n

\n

\u00a0<\/span>\u22120.91<\/span><\/span><\/span>\u00a0<\/span>V; 1040 nm<\/p>\n<\/div>\n<\/div>\n

\n

2.7<\/a><\/p>\n

\n

\u00a0<\/span>h=6.40\u00d710\u221234J\u00b7s=4.0\u00d710\u221215eV\u00b7s;\u22123.5%<\/span><\/span><\/span><\/p>\n<\/div>\n<\/div>\n

\n

2.8<\/a><\/p>\n

\n

\u00a0<\/span>(\u0394\u03bb)min=0m<\/span><\/span><\/span>\u00a0<\/span>at a\u00a0<\/span>0\u00b0<\/span><\/span><\/span>\u00a0<\/span>angle;\u00a0<\/span>71.0pm+0.5\u03bbc=72.215pm<\/span><\/span><\/span><\/p>\n<\/div>\n<\/div>\n

\n

2.9<\/a><\/p>\n

\n

\u00a0<\/span>121.5 nm and 91.1 nm; no, these spectral bands are in the ultraviolet<\/p>\n<\/div>\n<\/div>\n

\n

2.10<\/a><\/p>\n

\n

\u00a0<\/span>v2=1.1\u00d7106m\/s\u22450.0036c;<\/span><\/span><\/span>\u00a0<\/span>L2=2\u210fK2=3.4eV<\/span><\/span><\/span><\/p>\n<\/div>\n<\/div>\n

\n

2.11<\/a><\/p>\n

\n

\u00a0<\/span>29 pm<\/p>\n<\/div>\n<\/div>\n

\n

2.12<\/a><\/p>\n

\n

\u00a0<\/span>\u03bb=2\u03c0na0=2(3.324\u00c5)=6.648\u00c5<\/span><\/span><\/span><\/p>\n<\/div>\n<\/div>\n

\n

2.13<\/a><\/p>\n

\n

\u00a0<\/span>\u03bb=2.14pm;<\/span><\/span><\/span>\u00a0<\/span>K=261.56keV<\/span><\/span><\/span><\/p>\n<\/div>\n<\/div>\n

\n

2.14<\/a><\/p>\n

\n

\u00a0<\/span>0.052\u00b0<\/span><\/span><\/span><\/p>\n<\/div>\n<\/div>\n

\n

2.15<\/a><\/p>\n

\n

\u00a0<\/span>doubles it<\/p>\n<\/div>\n<\/div>\n<\/div>\n

\n

Conceptual Questions<\/span><\/a><\/h3>\n
\n

1.\u00a0<\/span><\/span><\/p>\n

\n

yellow<\/p>\n<\/div>\n<\/div>\n

\n

3.\u00a0<\/span><\/span><\/p>\n

\n

goes from red to violet through the rainbow of colors<\/p>\n<\/div>\n<\/div>\n

\n

5.\u00a0<\/span><\/span><\/p>\n

\n

would not differ<\/p>\n<\/div>\n<\/div>\n

\n

7.\u00a0<\/span><\/span><\/p>\n

\n

human eye does not see IR radiation<\/p>\n<\/div>\n<\/div>\n

\n

9.\u00a0<\/span><\/span><\/p>\n

\n

No<\/p>\n<\/div>\n<\/div>\n

\n

11.\u00a0<\/span><\/span><\/p>\n

\n

from the slope<\/p>\n<\/div>\n<\/div>\n

\n

13.\u00a0<\/span><\/span><\/p>\n

\n

Answers may vary<\/p>\n<\/div>\n<\/div>\n

\n

15.\u00a0<\/span><\/span><\/p>\n

\n

the particle character<\/p>\n<\/div>\n<\/div>\n

\n

17.\u00a0<\/span><\/span><\/p>\n

\n

Answers may vary<\/p>\n<\/div>\n<\/div>\n

\n

19.\u00a0<\/span><\/span><\/p>\n

\n

no; yes<\/p>\n<\/div>\n<\/div>\n

\n

21.\u00a0<\/span><\/span><\/p>\n

\n

no<\/p>\n<\/div>\n<\/div>\n

\n

23.\u00a0<\/span><\/span><\/p>\n

\n

right angle<\/p>\n<\/div>\n<\/div>\n

\n

25.\u00a0<\/span><\/span><\/p>\n

\n

no<\/p>\n<\/div>\n<\/div>\n

\n

27.\u00a0<\/span><\/span><\/p>\n

\n

They are at ground state.<\/p>\n<\/div>\n<\/div>\n

\n

29.\u00a0<\/span><\/span><\/p>\n

\n

Answers may vary<\/p>\n<\/div>\n<\/div>\n

\n

31.\u00a0<\/span><\/span><\/p>\n

\n

increase<\/p>\n<\/div>\n<\/div>\n

\n

33.\u00a0<\/span><\/span><\/p>\n

\n

for larger\u00a0<\/span>n<\/em><\/p>\n<\/div>\n<\/div>\n

\n

35.\u00a0<\/span><\/span><\/p>\n

\n

Yes, the excess of 13.6 eV will become kinetic energy of a free electron.<\/p>\n<\/div>\n<\/div>\n

\n

37.\u00a0<\/span><\/span><\/p>\n

\n

no<\/p>\n<\/div>\n<\/div>\n

\n

39.\u00a0<\/span><\/span><\/p>\n

\n

X-rays, best resolving power<\/p>\n<\/div>\n<\/div>\n

\n

41.\u00a0<\/span><\/span><\/p>\n

\n

proton<\/p>\n<\/div>\n<\/div>\n

\n

43.\u00a0<\/span><\/span><\/p>\n

\n

negligibly small de Broglie\u2019s wavelengths<\/p>\n<\/div>\n<\/div>\n

\n

45.\u00a0<\/span><\/span><\/p>\n

\n

to avoid collisions with air molecules<\/p>\n<\/div>\n<\/div>\n

\n

47.\u00a0<\/span><\/span><\/p>\n

\n

Answers may vary<\/p>\n<\/div>\n<\/div>\n

\n

49.\u00a0<\/span><\/span><\/p>\n

\n

Answers may vary<\/p>\n<\/div>\n<\/div>\n

\n

51.\u00a0<\/span><\/span><\/p>\n

\n

yes<\/p>\n<\/div>\n<\/div>\n

\n

53.\u00a0<\/span><\/span><\/p>\n

\n

yes<\/p>\n<\/div>\n<\/div>\n<\/div>\n

\n

Problems<\/span><\/a><\/h3>\n
\n

55.\u00a0<\/span><\/span><\/p>\n

\n

a. 0.81 eV; b.\u00a0<\/span>2.1\u00d71023;<\/span><\/span><\/span>\u00a0<\/span>c. 2 min 20 sec<\/p>\n<\/div>\n<\/div>\n

\n

57.\u00a0<\/span><\/span><\/p>\n

\n

a. 7245 K; b. 3.62 \u03bcm<\/p>\n<\/div>\n<\/div>\n

\n

59.\u00a0<\/span><\/span><\/p>\n

\n

about 3 K<\/p>\n<\/div>\n<\/div>\n

\n

61.\u00a0<\/span><\/span><\/p>\n

\n

4.835\u00d71018<\/span><\/span><\/span>\u00a0<\/span>Hz; 0.620 \u00c5<\/p>\n<\/div>\n<\/div>\n

\n

63.\u00a0<\/span><\/span><\/p>\n

\n

263 nm; no<\/p>\n<\/div>\n<\/div>\n

\n

65.\u00a0<\/span><\/span><\/p>\n

\n

3.68 eV<\/p>\n<\/div>\n<\/div>\n

\n

67.\u00a0<\/span><\/span><\/p>\n

\n

4.09 eV<\/p>\n<\/div>\n<\/div>\n

\n

69.\u00a0<\/span><\/span><\/p>\n

\n

5.54 eV<\/p>\n<\/div>\n<\/div>\n

\n

71.\u00a0<\/span><\/span><\/p>\n

\n

a. 1.89 eV; b. 459 THz; c. 1.21 V<\/p>\n<\/div>\n<\/div>\n

\n

73.\u00a0<\/span><\/span><\/p>\n

\n

264 nm; UV<\/p>\n<\/div>\n<\/div>\n

\n

75.\u00a0<\/span><\/span><\/p>\n

\n

1.95\u00d7106m\/s<\/span><\/span><\/span><\/p>\n<\/div>\n<\/div>\n

\n

77.\u00a0<\/span><\/span><\/p>\n

\n

1.66\u00d710\u221232kg\u00b7m\/s<\/span><\/span><\/span><\/p>\n<\/div>\n<\/div>\n

\n

79.\u00a0<\/span><\/span><\/p>\n

\n

56.21 eV<\/p>\n<\/div>\n<\/div>\n

\n

81.\u00a0<\/span><\/span><\/p>\n

\n

6.63\u00d710\u221223kg\u00b7m\/s;<\/span><\/span><\/span>\u00a0<\/span>124 keV<\/p>\n<\/div>\n<\/div>\n

\n

83.\u00a0<\/span><\/span><\/p>\n

\n

82.9 fm; 15 MeV<\/p>\n<\/div>\n<\/div>\n

\n

85.\u00a0<\/span><\/span><\/p>\n

\n

(Proof)<\/p>\n<\/div>\n<\/div>\n

\n

87.\u00a0<\/span><\/span><\/p>\n

\n

\u0394\u03bb30\/\u0394\u03bb45=45.74%<\/span><\/span><\/span><\/p>\n<\/div>\n<\/div>\n

\n

89.\u00a0<\/span><\/span><\/p>\n

\n

121.5 nm<\/p>\n<\/div>\n<\/div>\n

\n

91.\u00a0<\/span><\/span><\/p>\n

\n

a. 0.661 eV; b. \u201310.2 eV; c. 1.511 eV<\/p>\n<\/div>\n<\/div>\n

\n

93.\u00a0<\/span><\/span><\/p>\n

\n

3038 THz<\/p>\n<\/div>\n<\/div>\n

\n

95.\u00a0<\/span><\/span><\/p>\n

\n

97.33 nm<\/p>\n<\/div>\n<\/div>\n

\n

97.\u00a0<\/span><\/span><\/p>\n

\n

a. h\/\u03c0;<\/span><\/span><\/span>\u00a0<\/span>b. 3.4 eV; c. \u2013 6.8 eV; d. \u2013 3.4 eV<\/p>\n<\/div>\n<\/div>\n

\n

99.\u00a0<\/span><\/span><\/p>\n

\n

n=4<\/span><\/span><\/span><\/p>\n<\/div>\n<\/div>\n

\n

101.\u00a0<\/span><\/span><\/p>\n

\n

365 nm; UV<\/p>\n<\/div>\n<\/div>\n

\n

103.\u00a0<\/span><\/span><\/p>\n

\n

no<\/p>\n<\/div>\n<\/div>\n

\n

105.\u00a0<\/span><\/span><\/p>\n

\n

7<\/p>\n<\/div>\n<\/div>\n

\n

107.\u00a0<\/span><\/span><\/p>\n

\n

145.5 pm<\/p>\n<\/div>\n<\/div>\n

\n

109.\u00a0<\/span><\/span><\/p>\n

\n

20 fm; 9 fm<\/p>\n<\/div>\n<\/div>\n

\n

111.\u00a0<\/span><\/span><\/p>\n

\n

a. 2.103 eV; b. 0.846 nm<\/p>\n<\/div>\n<\/div>\n

\n

113.\u00a0<\/span><\/span><\/p>\n

\n

80.9 pm<\/p>\n<\/div>\n<\/div>\n

\n

115.\u00a0<\/span><\/span><\/p>\n

\n

2.21\u00d710\u221219m\/s<\/span><\/span><\/span><\/p>\n<\/div>\n<\/div>\n

\n

117.\u00a0<\/span><\/span><\/p>\n

\n

9.929\u00d71032<\/span><\/span><\/span><\/p>\n<\/div>\n<\/div>\n

\n

119.\u00a0<\/span><\/span><\/p>\n

\n

\u03b3=1060;<\/span><\/span><\/span>\u00a0<\/span>0.00124 fm<\/p>\n<\/div>\n<\/div>\n

\n

121.\u00a0<\/span><\/span><\/p>\n

\n

24.11 V<\/p>\n<\/div>\n<\/div>\n

\n

123.\u00a0<\/span><\/span><\/p>\n

\n

a.\u00a0<\/span>P=2I\/c=8.67\u00d710\u22126N\/m2;<\/span><\/span><\/span>\u00a0<\/span>b.\u00a0<\/span>a=PA\/m=8.67\u00d710-4m\/s2;<\/span><\/span><\/span>\u00a0<\/span>c. 74.91 m\/s<\/p>\n<\/div>\n<\/div>\n

\n

125.\u00a0<\/span><\/span><\/p>\n

\n

x=4.965<\/span><\/span><\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n

\n

Additional Problems<\/span><\/a><\/h3>\n
\n

127.\u00a0<\/span><\/span><\/p>\n

\n

7.124\u00d71016W\/m3<\/span><\/span><\/span><\/p>\n<\/div>\n<\/div>\n

\n

129.\u00a0<\/span><\/span><\/p>\n

\n

1.034 eV<\/p>\n<\/div>\n<\/div>\n

\n

131.\u00a0<\/span><\/span><\/p>\n

\n

5.93\u00d71018<\/span><\/span><\/span><\/p>\n<\/div>\n<\/div>\n

\n

133.\u00a0<\/span><\/span><\/p>\n

\n

387.8 nm<\/p>\n<\/div>\n<\/div>\n

\n

135.\u00a0<\/span><\/span><\/p>\n

\n

a.\u00a0<\/span>4.02\u00d71015;<\/span><\/span><\/span>\u00a0<\/span>b. 0.533 mW<\/p>\n<\/div>\n<\/div>\n

\n

137.\u00a0<\/span><\/span><\/p>\n

\n

a.\u00a0<\/span>4.02\u00d71015;<\/span><\/span><\/span>\u00a0<\/span>b. 0.533 mW; c. 0.644 mA; d. 2.57 ns<\/p>\n<\/div>\n<\/div>\n

\n

139.\u00a0<\/span><\/span><\/p>\n

\n

a. 0.132 pm; b. 9.39 MeV; c. 0.047 MeV<\/p>\n<\/div>\n<\/div>\n

\n

141.\u00a0<\/span><\/span><\/p>\n

\n

a. 2 kJ; b.\u00a0<\/span>1.33\u00d710\u22125kg\u00b7m\/s;<\/span><\/span><\/span>\u00a0<\/span>c.\u00a0<\/span>1.33\u00d710\u22125N;<\/span><\/span><\/span>\u00a0<\/span>d. yes<\/p>\n<\/div>\n<\/div>\n

\n

143.\u00a0<\/span><\/span><\/p>\n

\n

a. 0.003 nm; b.\u00a0<\/span>105.56\u00b0<\/span><\/span><\/span><\/p>\n<\/div>\n<\/div>\n

\n

145.\u00a0<\/span><\/span><\/p>\n

\n

n=3<\/span><\/span><\/span><\/p>\n<\/div>\n<\/div>\n

\n

147.\u00a0<\/span><\/span><\/p>\n

\n

a.\u00a0<\/span>a0\/2;<\/span><\/span><\/span>\u00a0<\/span>b.\u00a0<\/span>\u221254.4eV\/n2;<\/span><\/span><\/span>\u00a0<\/span>c.\u00a0<\/span>a0\/3,\u2212122.4eV\/n2<\/span><\/span><\/span><\/p>\n<\/div>\n<\/div>\n

\n

149.\u00a0<\/span><\/span><\/p>\n

\n

a. 36; b. 18.2 nm; c. UV<\/p>\n<\/div>\n<\/div>\n

\n

151.\u00a0<\/span><\/span><\/p>\n

\n

396 nm; 5.23 neV<\/p>\n<\/div>\n<\/div>\n

\n

153.\u00a0<\/span><\/span><\/p>\n

\n

7.3 keV<\/p>\n<\/div>\n<\/div>\n

\n

155.\u00a0<\/span><\/span><\/p>\n

\n

728 m\/s;\u00a0<\/span>1.5\u03bcV<\/span><\/span><\/span><\/p>\n<\/div>\n<\/div>\n

\n

157.\u00a0<\/span><\/span><\/p>\n

\n

\u03bb=hc\/K(2E0+K)=3.705\u00d710\u221212m,K=100keV<\/span><\/span><\/span><\/p>\n<\/div>\n<\/div>\n

\n

159.\u00a0<\/span><\/span><\/p>\n

\n

\u0394\u03bbc(electron)\/\u0394\u03bbc(proton)=mp\/me=1836<\/span><\/span><\/span><\/p>\n<\/div>\n<\/div>\n

\n

161.\u00a0<\/span><\/span><\/p>\n

\n

(Proof)<\/p>\n<\/div>\n<\/div>\n

\n

163.<\/span><\/p>\n

\n

5.1\u00d71017Hz<\/span><\/span><\/span><\/p>\n<\/div>\n<\/div>\n

 <\/p>\n

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