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Cutnell & Johnson, Physics (Sixth Edition) Instructor’s Solutions Manual, Volume II (Wiley, 2004)
Answers to Even-Numbered Questions 1
CHAPTER 18 – ELECTRIC FORCES AND ELECTRIC FIELDS
2. -1.6 µC
4. 3.4×10!17 kg; object A has the larger mass
6. (a) 3.35×1026 electrons(b) -5.36×107 C
8. 26 N
10. 7.3×10!6 C; negative
12. 1.44×104 N; attractive
14. 17.3 N; 38.7E S of E
16. -2.60×10!6 C
18. +111 m/s2; the acceleration is along the +y axis
20. 9.0
22. -5.58 µC on left, +0.957 µC on right; -0.957 µC on left, +5.58 µC on right
24. 0.37 N
26.
28. 1.37
30. (a) x = 3.0 m(b) 0 N
32. (a) 7.5×10!2 N(b) 53.1E
34. 1.81×102 N/C; 3.11×102 N/C
36. 0.76
38. 1.0×107 m/s
Cutnell & Johnson, Physics (Sixth Edition) Instructor’s Solutions Manual, Volume II (Wiley, 2004)
Answers to Even-Numbered Questions 2
40. 3.9×104 m/s
42. 2.09×103 N/C
44. (a) 4.2×10*9 C/m2
(b) 4.8×10!12 C
46. 35 N@m2/C
48. (a) 4.0×105 N@m2/C(b) -2.6×105 N@m2/C(c) 1.4×105 N@m2/C
50. 1.8×103 N@m2/C
52. (a) radially outward(b) radially inward(c) E = 0 N/C
54. E 'Q /L2πε0r
'λ
2πε0r
56. (a) 0.83 N(b) attractive
58. 54 N/C
60. x = +0.71 m
62. 0.16 N@m
64. 7.5×10!6 C
66. 2.5×104 N/C
68. 8.2×10!3 N
70. 6.5×104 N
72. (a) 2.0 N/C(b) 2.0 N/C
74. 1.4×1016 m/s2; 7.7×1012 m/s2
76. q2 = -6.0 µC
CHAPTER 19 – ELECTRIC POTENTIAL ENERGY AND THE ELECTRICALPOTENTIAL
Cutnell & Johnson, Physics (Sixth Edition) Instructor’s Solutions Manual, Volume II (Wiley, 2004)
Answers to Even-Numbered Questions 3
2. (a) 5.80×10!3 J(b) 32.2 V(c) Point A
4. -2.1×10!11 J
6. 8.0×102 eV
8. 4.0 kg
10. 18.7 m/s
12. -4.05×104 V
14. -6.0×10!8 C
16. -9.4×103 V
18. ; dd3
20. 0.38 J
22. -4.8×10!6 C
24. x = 0.200 m to the right of the negative charge; x = 0.176 m to the left of the negative charge
26. rA = 1.41×10!2 m
28. 1.1 m
30. 8.8×106 V/m
32. (a) 0 V(b) +290 V(c) -290 V
34. (a) 0 V/m(b) 1.0×101 V/m(c) 5.0 V/m
36. 12 V
38. 2×10!8 F
40. 7.0×1013
42. 5.66 V
Cutnell & Johnson, Physics (Sixth Edition) Instructor’s Solutions Manual, Volume II (Wiley, 2004)
Answers to Even-Numbered Questions 4
44. 1.1×10!2 m
46. 7.7 V; decrease
48. 2.18×10!5 m
50. (a) 4.5×10!3 N; from A toward B(b) 3.0×103 N/C; from A toward B
52. (a) 1500 V(b) Point B
54. +7.8×106 V
56. 1.7×103 V/m; left
58. 6.8 m/s
60. (a) 0.187 m(b) 3.67
62. 1.15 m
64. 1.2 m
66. 6.3×10!5 F
68. 4.0×10!15 J
Cutnell & Johnson, Physics (Sixth Edition) Instructor’s Solutions Manual, Volume II (Wiley, 2004)
Answers to Even-Numbered Questions 5
CHAPTER 20 – ELECTRIC CIRCUITS
2. (a) 3.6×10!2 C(b) 2.3×1017
4. 1.3×106 J
6. (a) 7.9×105 C(b) 350 A
8. 16 Ω
10. 0.58 Ω
12. 0.12 Ω
14. 0.0050 (CE)!1
16. 9.3%
18. 140 EC
20. 9.7×102 kg
22. (a) 4.4 Ω(b) 2.8 A
24. $5.0×106
26. 190 s
28. 50 m
30. 1.39×10!3 s
32. 21 V
34. 1.3×10!3 m
36. (a) 50.0 Hz(b) 2.40×102 Ω(c) 60.0 W
38. 32 A
40. 9.0 V
42. 4.0×101 Ω
Cutnell & Johnson, Physics (Sixth Edition) Instructor’s Solutions Manual, Volume II (Wiley, 2004)
Answers to Even-Numbered Questions 6
44. three
46. 140 W
48. R2 = 446 Ω
50. 288 Ω
52. 19R
54. 2.00 Ω and 4.00 Ω
56. 5.24 Ω and 0.76 Ω
58. 4.67 Ω
60. 9.2 A
62. (a) 8.33×10!2 A(b) 0.833 W
64. 11.1 W; 2.78 W; 2.78 W
66. 600 Ω
68. 8.3 A
70. 10.9 V
72. 0.054
74. (a) 12 V(b) 24 V
76. 0.73 A; left
78. -1.82 A; the current in the 4.00-Ω resistor is directed downward
80. 0.0835 Ω
82. 30.0 V
84. 8.00×10!3 A; 820 Ω
86. 28.1 V
88. 25 V
Cutnell & Johnson, Physics (Sixth Edition) Instructor’s Solutions Manual, Volume II (Wiley, 2004)
Answers to Even-Numbered Questions 7
90. 1.54
92. 10.0 V
94. 1.80 V
96. 4.0×103 Ω
98. 1.61
100. 228 W
102. 3.5×104 A
104. 5.00 A; 46.0 V
106. 7.2×10!5 C
108. (a) 1.6 A(b) 14 V; 8.0 V; 1.6 V(c) 23 W; 13 W; 2.6 W
110. 0.00116 Ω
112. (a) 8.99 V(b) 2.5 Ω
114. 1.8 V
116. 39.5EC
118. (a) 24.0 W; 12.0 W; 96.0 W; 48.0 W(b) 2.00 A; 1.00 A; 4.00 A; 2.00 A
120. 10.0 Ω; 5.00 Ω; 15.0 Ω
122. (a) 1.08×10!2 J(b) 2.39×10!3 J
124. Circuit A: 4.0 WCircuit B: 8.0 WCircuit C: 2.0 W
Cutnell & Johnson, Physics (Sixth Edition) Instructor’s Solutions Manual, Volume II (Wiley, 2004)
Answers to Even-Numbered Questions 8
CHAPTER 21 – MAGNETIC FORCES AND MAGNETIC FIELDS
2. (a) 5.7×10!5 N; into the paper(b) 1.1×10!4 N; into the paper(c) 5.7×10!5 N; into the paper
4. 13
6. 5.9×1012 m/s2
8. 1.3×10!10 N; directed out of the page
10. 1.1×10!2 N
12. 2.7×10!3 kg
14. 4.3×102 m
16. E/B
18. 1.41
20. 6.8×105 C/kg
22. 0.71 m
24. (a) 4.4×10!3 N(b) 1.7×10!4 C
26. 5.1×10!5 T
28. 2.7 m
30. (a) 0 N; 24.2 N; perpendicularly out of the paper; 24.2 N, perpendicularly into the paper(b) 0 N
32. 3.00 A
34. 44E
36. 2.2 A
38. 3.3 cm
40. 1.27
42. 53.1E
Cutnell & Johnson, Physics (Sixth Edition) Instructor’s Solutions Manual, Volume II (Wiley, 2004)
Answers to Even-Numbered Questions 9
44. 1.13
46. 0.12 m
48. 4.2×10!2 m
50. 1.21×10!4 N; perpendicular to the wire and is directed away from it
52. 3.8×10!5 T
54. 1.5×10!4 N
56. 0.50 m
58. 1.13×10!4 T, down (toward the bottom of the page)
60. the net current passing through the circular surface is zero
62. ; 0 TB 'µ0 I2πr
64. (a) 6.50×10!2 T(b) 9.10×103 m/s
66. 58E
68. 3.1×10!4 T
70. 0.19 N
72. (a) 4.3×10!5 T(b) 5.3×10!5 T
74. 0.030 m
76. 320 A
78. 0.12 T
80. 19 cm
82. Single-turn: 0.036 N@mTwo-turn: 0.018 N@m
84. Point A: 2.8×10!6 TPoint B: 2.8×10!6 T
Cutnell & Johnson, Physics (Sixth Edition) Instructor’s Solutions Manual, Volume II (Wiley, 2004)
Answers to Even-Numbered Questions 10
CHAPTER 22 – ELECTROMAGNETIC INDUCTION
2. 1.0×10!3 V
4. 7800 V
6. 250 m
8. 25 m/s
10. 0.70
12. (a) 7.3×10!4 Wb(b) 0 Wb(c) 4.7×10!3 Wb
14. -9.4×10!2 Wb
16. 7.7×10!3 Wb
18. 276
20. 0.63 V; 2.5 A
22. 0.43 m2/s
24. 0.050 V
26. 2.4×10!3 A
28. counterclockwise induced current
30. the right end of the resistor must be the positive end
32. upward
34. (a) Location I: ; Location II: x 6 y 6 z z 6 y 6 x(b) Location II: ; Location II: z 6 y 6 x x 6 y 6 z
36. 16 Ω
38. (a) 115 V(b) 167 A(c) 7.28 Ω
40. 38 m
42. 2.0 V
Cutnell & Johnson, Physics (Sixth Edition) Instructor’s Solutions Manual, Volume II (Wiley, 2004)
Answers to Even-Numbered Questions 11
44. 9.3×10!3 H
46. (a) -6.4 V(b) 0 V(c) +3.2 V
48. 1.6 A
50. 3.6×109 N/C
52. W '12(LIf ) If '
12LI 2
f
54. (a) step-up(b) 55:1
56. 9.2 V
58. 756
60. 1.1×104 W
62. 0.31 T
64. 0.43 V
66. 1/4
68. 0.86 A
70. (a) When the magnet is above the ring its magneticfield points down through the ring and isincreasing as the magnet falls. The inducedmagnetic field attempts to reduce the increasingfield and points up. The induced current in thering is as shown in the drawing at the right, andthen the ring looks like a magnet with its northpole at the top, repelling the north pole of thefalling magnet and retarding its motion. Whenthe magnet is below the ring, its magnetic field still points down through the ring butis decreasing as the magnet falls. The induced magnetic field attempts to bolster thedecreasing field and points down. The induced current in the ring is as shown in thedrawing, and the ring then looks like a magnet with its north pole at the bottom,attracting the south pole of the falling magnet and retarding its motion.
(b) The motion of the magnet is unaffected, since no induced current can flow in the cutring. No induced current means that no induced magnetic field can be produced torepel or attract the falling magnet.
Cutnell & Johnson, Physics (Sixth Edition) Instructor’s Solutions Manual, Volume II (Wiley, 2004)
Answers to Even-Numbered Questions 12
72. 2.3×10!6 H
74. (a) 9.59 Ω(b) 95 V(c) 8.9 A
76. (a) 0-3.0 s: -1.0 V3.0-6.0 s: 0 V6.0-9.0 s: +0.50 V
(b) 0-3.0 s: -2.0 A6.0-9.0 s: +1.0 A
78. 0.16 T
80. (a) 1:13(b) 17×10!3 A(c) 2.0 W
82. First method: 140Second method: 140
Cutnell & Johnson, Physics (Sixth Edition) Instructor’s Solutions Manual, Volume II (Wiley, 2004)
Answers to Even-Numbered Questions 13
CHAPTER 23 – ALTERNATING CURRENT CIRCUITS
2. 1.9 V
4. 2.7×10!6 F
6. (a) 6.4×10!6 F(b) 9.0×10!4 C
8. 75 V
10. 0.075 A
12. (a) 1.11×104 Hz(b) 6.83×10!9 F(c) 6.30×103 Ω(d) 7.00×102 Ω
14. 0.020 H
16. (a) 0.50(b) 0.34 A(c) 0.704 H
18. 3.0 W
20. 10.5 V; 19.0 V; 29.6 V
22. (a) 0.26 A(b) 0.11 A
24. 1.1×103 Hz
26. 2.7×10!5 H
28. 0.81 W
30. (a) 1.3×10!3 H(b) 8.7×10!6 F
32. 521 Hz
34. f1 = 3.11×103 Hz; f2 = 7.50×103 Hz
36. (a) 10.7 V(b) -29.8E
38. 4
Cutnell & Johnson, Physics (Sixth Edition) Instructor’s Solutions Manual, Volume II (Wiley, 2004)
Answers to Even-Numbered Questions 14
40. 310 Hz
42. 123 W
44.R2
R1
' 3
46. 1.1 A
48. 49.7 Ω; 185 Ω
50. 1.8 µF
52. (a) 1.17×10!6 J(b) 5.58×10!3 A
Cutnell & Johnson, Physics (Sixth Edition) Instructor’s Solutions Manual, Volume II (Wiley, 2004)
Answers to Even-Numbered Questions 15
CHAPTER 24 – ELECTROMAGNETIC WAVES
2. (a) 1.28 s(b) t = 1.9×102 s
4. 3.62×10!12 ! 5.45×10!12 F
6. 8.5×10!5 V
8. 8.37
10. 1.93×1012
12. 4.500×107 Hz
14. 8.8 y
16. 0.24 s
18. 42.3 m/s
20. 1.6×106 m
22. 990 N/C
24. 1.8×10!5 J
26. 602 W/m2
28. (a) 2.1×104 W/m2
(b) 1.1×102 W(c) 18 s
30. (a) 2.7×10!5 N(b) 3.3×10!9 N
32. (a) 640 Hz(b) the wave that returns to the police car has the greater frequency
34. (a) 0.55 W/m2
(b) 3.7×10!2 W/m2
36. 206 W/m2
38. 104E
40. 68 N/C
Cutnell & Johnson, Physics (Sixth Edition) Instructor’s Solutions Manual, Volume II (Wiley, 2004)
Answers to Even-Numbered Questions 16
42. (a) 6.81×105 N/C(b) 2.27×10!3 T
44. 4.8×10!5 J
46. (a) 1.09×106 Hz(b) AM radio wave
48. 32 m/s
50. 720 W/m2
52. 75.3 W
54.100 SP
Sp % SU
'
100 Smax & Smin
cos2θSmax & Smin % 2 Smin
cos2θ
'100 Smax & Smin
Smax % Smin
56. (a) 263 W/m2; 2370 W/m2
(b) 1.05×10!6 T; 3.15×10!6 T(c) 263 W/m2; 2370 W/m2
58. (a) 2.5×10!5 N(b) 0 N(c) 2.5×10!5 N(d) 3.1×10!9 N
60. (a) 24 W/m2
(b) 0 W/m2
(c) 18 W/m2
62 A is removed; B, C, and D remain – 3.8 W/m2
D is removed; A, B, and C remain – 5.1 W/m2
Cutnell & Johnson, Physics (Sixth Edition) Instructor’s Solutions Manual, Volume II (Wiley, 2004)
Answers to Even-Numbered Questions 17
CHAPTER 25 – THE REFLECTION OF LIGHT
2. (a) 0.91 m(b) 0.85 m
4. Image 1: x = !2.0 m, y = +1.0 mImage 2: x = +2.0 m, y = !1.0 mImage 3: x = +2.0 m, y = +1.0 m
6. 7.2 m
8. (a) 30E(b) βN = 30E
10. (a) image distance is 7.5 cm(b) image height is 1.0 cm
12. (a) 24 cm(b) The ray diagram is similar to that shown in Figure 25.16.
14. (a) smaller(b) larger(c) 3
16. +32 cm
18. di = +31 cm
20. 14 cm
22. (a) 180 cm(b) 6.0×101 cm
24. f = -17 cm
26. 0.67
28. -1/2
30. (a) the image is 20.0 cm behind the mirror, or di = -20.0 cm(b) the image height is 6.0 cm
32. sees the arrow at A in its entirety; does not see the arrow at B in its entirety
34. (a) di = -1.8 m(b) virtual(c) 0.19 cm
Cutnell & Johnson, Physics (Sixth Edition) Instructor’s Solutions Manual, Volume II (Wiley, 2004)
Answers to Even-Numbered Questions 18
36. (a) 70.6E(b) 62.1E
38. 56 cm
40. (a) +9.0×101 cm; +45 cm(b) +15 cm; -3.0×101 cm
42. 2.00 h
44. f = 9.1 cm
46. -x direction and has a magnitude of 1.2 m/s
Cutnell & Johnson, Physics (Sixth Edition) Instructor’s Solutions Manual, Volume II (Wiley, 2004)
Answers to Even-Numbered Questions 19
CHAPTER 26 – THE REFRACTION OF LIGHT: LENSES AND OPTICALINSTRUMENTS
2. 1.66×108 m/s
4. 0.800
6. carbon disulfide
8. 4.3 cm
10. 0.87
12. 1.47
14. 32E
16. 2.1 cm
18. 2.7 m
20. 51.9E
22. 21.4 cm
24. 37.79E
26. 2.5 m
28. 0.813
30. 1.35
32. 67.5E
34. 32E
36. (a) 60.1E(b) 1.74
38. 0.86E
40. 30.39E
42. 20.4E
Cutnell & Johnson, Physics (Sixth Edition) Instructor’s Solutions Manual, Volume II (Wiley, 2004)
Answers to Even-Numbered Questions 20
44. (a) -12 cm(b) +0.63(c) virtual(d) upright(e) reduced
46. -8.1 cm
48. (a) 204 cm(b) real(c) -17.1 cm
50. (a) 3.78 m(b) Width: -8.40×102 mm; Height: 1.26×103 mm
52. (a) -85.1 cm(b) 134.1 cm
54. (a) away from the lens(b) 0.15 m
56. 12 m
58. xx ) ' f 2
60. -5.6 cm
62. (a) -150 cm(b) 9.0 cm
64. 160.0 cm
66. (a) 4.50 cm to the right of the second lens(b) -0.75(c) real(d) inverted(e) smaller
68. -0.14 mm
70. (a) 2.8 m(b) -3.1×10!2 cm
72. 121 cm from the eyes
74. (a) 31.3 cm(b) 2.43 m
Cutnell & Johnson, Physics (Sixth Edition) Instructor’s Solutions Manual, Volume II (Wiley, 2004)
Answers to Even-Numbered Questions 21
76. 18
78. 13.7 cm
80. 0.15 rad
82. 15.4
84. 9×10!3 rad
86. 0.86 cm
88. (a) 30.0(b) 4.27 cm(c) -4.57
90. 198 diopters
92. (a) 0.775 m(b) 0.780 m
94. (a) -194(b) -7.8×10!5 m(c) 1.94×106 m
96. -31
98. 4.8×10!3 rad
100. 12.1 m
102. 3.9 cm
104. 0.011 m
106. (a) 0.025 rad(b) 0.040 rad(c) the player looks larger on television
108. 21.7E
110. (a) -10.0 cm(b) +0.500
112. (a) 2.0×101 diopters(b) 5.6
114. 0.333 m
Cutnell & Johnson, Physics (Sixth Edition) Instructor’s Solutions Manual, Volume II (Wiley, 2004)
Answers to Even-Numbered Questions 22
116. 8.0 cm
118. (a) 46E(b) 50E(c) 69E(d) 0E
120. a-b interface: 1.30; b-c interface: 1.10
122. (a) 60.0 cm(b) 20.0 cm
124. (a) 15.0 cm(b) 45.0 cm
Cutnell & Johnson, Physics (Sixth Edition) Instructor’s Solutions Manual, Volume II (Wiley, 2004)
Answers to Even-Numbered Questions 23
CHAPTER 27 – INTERFERENCE AND THE WAVE NATURE OF LIGHT
2. 4.9×10!7 M
4. destructive interference is occurring
6. 4.3×10!3 m
8. toward the slits; 0.115 m
10. 1.30×102 nm; 3.90×102 nm
12. (a) 150 nm(b) 210 nm
14. 1.18
16. (a) 1.0×10!7 m(b) 2.1×10!7 m
18. R = 0.0256 m
20. 0.0390 m
22. 0.576 m
24. 8
26. 0.012 m
28. (a) 3.53 m(b) 2.15 m
30. 5.6×1017 m
32. (a) 5.6 m(b) 56 m
34. 5.1 s
36. (a) 550 m(b) 370 m
38. 5.90×10!7 m
40. 644 nm
42. 640 nm; 480 nm
Cutnell & Johnson, Physics (Sixth Edition) Instructor’s Solutions Manual, Volume II (Wiley, 2004)
Answers to Even-Numbered Questions 24
44. 6540 lines/cm
46. (a) 0.68E(b) 1.4E(c) 2.0E
48. 6.12×10!7 m
50. 403 nm
52. 0.0254 m
54. 2.0×10!5 m
56. 50 bright fringes
58. (a) 487 nm(b) 518 nm
60. 4
62. 3.3×10!6 m
64. 2400 m!1
66. (a) 0.29 m(b) 0.22 m
Cutnell & Johnson, Physics (Sixth Edition) Instructor’s Solutions Manual, Volume II (Wiley, 2004)
Answers to Even-Numbered Questions 25
CHAPTER 28 – SPECIAL RELATIVITY
2. 72 H
4. 1.8 breaths per min
6. 4.4×10!4 s
8. 8.1 km
10. 1.0×103 yr
12. 3400 m × 1500 m
14. θ) ' 40.2E
16. 8.59
18. (a) 1.7×107 kg@m/s(b) 3.0×107 kg@m/s
20. 1.0 m
22. 1.7×10!13 J
24. 5.3×109 mi
26. (a) 6.7×105 J(b) 7.4×10!12 kg
28. 1.3×107 kg@m/s
30. 0.36c
32. 0.920c
34. (a) at the speed of light, c(b) +0.994c(c) 0.200c(d) 0.194c
36. 8.7×10!30 kg
38. 0.999 95c
40. 0.94c
42. (a) 3.8×10!12 J
Cutnell & Johnson, Physics (Sixth Edition) Instructor’s Solutions Manual, Volume II (Wiley, 2004)
Answers to Even-Numbered Questions 26
(b) 0.9998c
44. (a) 0.72×1011 m(b) 3.0×102 s
46. (a) 7.44×10!12 kg(b) 5.02×10!11 kg
48. 0.866c; 0.943c; 0.745c
Cutnell & Johnson, Physics (Sixth Edition) Instructor’s Solutions Manual, Volume II (Wiley, 2004)
Answers to Even-Numbered Questions 27
CHAPTER 29 – PARTICLES AND WAVES
2. (a) 1.63×10!7 m(b) 1.84×1015 Hz; 1.84×1015 Hz(c) ultraviolet region
4. 2.56 eV
6. 2.5×1021 photons/(s@m2)
8. 1.9×10!7 m
10. 9.56×10!12 m
12. (a) 7760 N/C(b) 2.59×10!5 T
14. 1.0×1013 Hz
16. 75E
18. (a) 0.1819 nm(b) 1.092×10!15 J(c) 1.064×10!15 J(d) 2.8×10!17 J
20. (a) 1.0×10!8 N(b) 5.0×10!9 N
22. 1.41×103 m/s
24. 2.45×103 m/s
26. 1.73×10!6 rad
28. 6.01×10!11 m
30. 4.0×101
32. 8.8×10!21 kg@m/s
34. 37 J@s
36. 3.6×104 m/s
38. x-ray; infrared
40. (a) 2.5×10!7 m
Cutnell & Johnson, Physics (Sixth Edition) Instructor’s Solutions Manual, Volume II (Wiley, 2004)
Answers to Even-Numbered Questions 28
(b) 5.6×10!10 m
42. 1.26 eV
44. 9.32×105 m/s
46. 2.75×10!7 m; 3.35×10!7 m
48. 5.82×10!23 kg@m/s
50. λ = 2.0×10!34 m
Cutnell & Johnson, Physics (Sixth Edition) Instructor’s Solutions Manual, Volume II (Wiley, 2004)
Answers to Even-Numbered Questions 29
CHAPTER 30 – THE NATURE OF THE ATOM
2. 2 mi
4. 1.7×10!13 J
6. 7.3×10!14 m
8. 5
10. 2.38×10!10 m
12. -0.213 eV
14. 6.56×10!7 m; 1.22×10!7 m
16. 22.8 nm
18. 2
20. (a) vn '2πke 2Znh
(b) 2.19×106 m/s(c) 1.09×106 m/s(d) are consistent with ignoring relativistic effects
22. (a) -1.51 eV(b) 2.58×10!34 J@s(c) 2.11×10!34 J@s
24. R = 4; n = 5
26. 0 J@s; ; 2h2π
6h2π
28. (a) ; n ' 2, R ' 0, mR ' 0, ms ' %12n ' 2, R ' 0, mR ' 0, ms ' &
12
(b) , n ' 2, R ' 1, mR ' %1, ms ' %12n ' 2, R ' 1, mR ' %1, ms ' &
12
, n ' 2, R ' 1, ms ' %12n ' 2, R ' 1, mR ' 0, ms ' &
12
, n ' 2, R ' 1, mR ' &1, ms ' %12n ' 2, R ' 1, mR ' &1, ms ' &
12
30. 1s 2 2s 2 2p 6 3s 2 3p 6 4s 2 3d 10 4p 6 5s 2 4d 10
32. strontium, Sr
34. 1.07×10!14 J
Cutnell & Johnson, Physics (Sixth Edition) Instructor’s Solutions Manual, Volume II (Wiley, 2004)
Answers to Even-Numbered Questions 30
36. (a) 1.08×10!14 J(b) 6.75×104 eV
38. 6.03×107 m/s
40. 2.2×1016
42. 19
44. 1s 2 2s 2 2p 6 3s 2 3p 6 4s 2 3d 10 4p 3
46. carbon
48. 10 700 V
50. 4.41×10!10 m
52. KE 'n 2h 2
8mL 2where n ' 1,2,3, ...
54. λ = 30.39 nm
56. (a) The quantum number R must be less than n.(b) The quantum number mR must be less than or equal to R.(c) The quantum number R cannot be negative.
58. (a) 3.55×10!11 m(b) Molybdenum: 7.23×10!11 m; Silver: 5.74×10!11 m
60. (a) 1.8(b) Z = 11: 4.3×10!11 m; Z = 1.8: 2.6×10!10 m
Cutnell & Johnson, Physics (Sixth Edition) Instructor’s Solutions Manual, Volume II (Wiley, 2004)
Answers to Even-Numbered Questions 31
CHAPTER 31 – NUCLEAR PHYSICS AND RADIOACTIVITY
2. (a) 92(b) 122(c) 41
4. 4.4×10!15 m
6. 1.14
8. (a) 2.3×1017 kg/m3
(b) 1.2×1010 kg(c) 80
10. 7.90 MeV per nucleon
12. (a) 1.741 670 u(b) 1622 MeV(c) 7.87 MeV
14. 39.25 MeV
16. (a) 10.55 MeV(b) 7.55 MeV(c) neutron
18. (a) X represents a β! particle (electron)(b) X represents a β+ particle (positron)(c) X represents a γ ray(d) X represents an α particle (helium nucleus)
20. 0.313 MeV
22. 1.38 MeV
24. 0.072 MeV; 4.2 MeV
26. AZX '
21284 Po
28. 2.60×10!12 m
30. 3.66 days
32. 7.53%
34. 379 yr
36. 2.1×10!11 kg
Cutnell & Johnson, Physics (Sixth Edition) Instructor’s Solutions Manual, Volume II (Wiley, 2004)
Answers to Even-Numbered Questions 32
38. 1.2×10!7 g
40. 2.2×103 yr
42. (a) 0.999(b) 1.36×10!9
(c) 0.755
44. 3.29×109 yr
46. (a) 25 000 yr(b) 22 000 yr
48. (a) +1.31×10!17 C(b) 126(c) 208(d) 7.1×10!15 m(e) 2.3×1017 kg/m3
50. 4.87 MeV
52. 13 000 yr
54. 1.29×10!3 g
56. 9.37 days
58. 0.81 MeV
60. 3720 kg
62. 1.56×1025 MeV
Cutnell & Johnson, Physics (Sixth Edition) Instructor’s Solutions Manual, Volume II (Wiley, 2004)
Answers to Even-Numbered Questions 33
CHAPTER 31 – IONIZING RADIATION, NUCLEAR ENERGY, AND ELEMENTARYPARTICLES
2. 12
4. 3.7×10!6 J
6. 2.4×104 m
8. 9.2×108
10. 2010 Ne
12. (a) 147 N(n,p) 14
6 C
(b) 23892 U(n,γ) 239
92 U
(c) 2412 Mg(n,d) 23
11 Na
14. (a) A = 233; Z = 90; Thorium ( 23390 Th)
(b) 23392 U
16. zinc, 6430 Zn
18. 3
20. 173 MeV
22. 6.4×108 W
24. 160 MeV
26. (a) 3.1×1024
(b) 1.2×103 g(c) 1.1 g
28. 2.0 MeV
30. (a) A = 2; Z = 0; neutron; deuterium nucleus(b) 6.2 MeV
32. (a) 1.0×1022
(b) 8.1×109 kg
34. 33.9 MeV
36. 140.9 MeV
Cutnell & Johnson, Physics (Sixth Edition) Instructor’s Solutions Manual, Volume II (Wiley, 2004)
Answers to Even-Numbered Questions 34
38. (a) The K! particle does not contain u, c, or t quarks.
(b) The K! particle does not contain , , or antiquarksd s b
40. 0.18 MeV
42. (a) 460 rem(b) a 50% chance of dying
44. 232.7851 u
46. 2.26×108 rd
48. 1.1×106 kg
50. γ rays: 3electrons: 2protons: 1slow neutrons: 4
52. (a) AZX '42 He
(b) AZX '11 H
(c) AZX '2714 Si
(d) AZX '24 He
54. 14.1 MeV; 3.5 MeV