JEE Physics Electromagnetic Waves MCQs Set 13

Answer: (a) polarization

Explanation:
1. Only transverse waves can be polarized.
2. Interference, reflection and diffraction are shown by all waves, longitudinal as well as transverse.

Teacher's Note:
1. P
2. o
3. l
4. a
5. r
6. i
7. z
8. a
9. t
10. i
11. o
12. n
13.
14. i
15. s
16.
17. t
18. h
19. e
20.
21. s
22. t
23. a
24. n
25. d
26. a
27. r
28. d
29.
30. p
31. r
32. o
33. o
34. f
35.
36. o
37. f
38.
39. t
40. r
41. a
42. n
43. s
44. v
45. e
46. r
47. s
48. e
49.
50. n
51. a
52. t
53. u
54. r
55. e
56. .
57.
58. R
59. e
60. m
61. e
62. m
63. b
64. e
65. r
66.
67. t
68. h
69. a
70. t
71.
72. s
73. o
74. u
75. n
76. d
77.
78. s
79. h
80. o
81. w
82. s
83.
84. n
85. o
86.
87. p
88. o
89. l
90. a
91. r
92. i
93. z
94. a
95. t
96. i
97. o
98. n
99. .

Answer: (b) decrease

Explanation:
1. Current through a capacitor is \( I = \dfrac{E}{X_C} = \omega C E = 2\pi\nu C E \), so \( I \propto \nu \).
2. Displacement current equals conduction current in the circuit, so it decreases when the frequency decreases.

Teacher's Note:
1. T
2. h
3. e
4.
5. r
6. e
7. a
8. c
9. t
10. a
11. n
12. c
13. e
14.
15. o
16. f
17.
18. a
19.
20. c
21. a
22. p
23. a
24. c
25. i
26. t
27. o
28. r
29.
30. i
31. s
32.
33. i
34. n
35. v
36. e
37. r
38. s
39. e
40. l
41. y
42.
43. p
44. r
45. o
46. p
47. o
48. r
49. t
50. i
51. o
52. n
53. a
54. l
55.
56. t
57. o
58.
59. f
60. r
61. e
62. q
63. u
64. e
65. n
66. c
67. y
68. .
69.
70. L
71. o
72. w
73. e
74. r
75.
76. f
77. r
78. e
79. q
80. u
81. e
82. n
83. c
84. y
85.
86. m
87. e
88. a
89. n
90. s
91.
92. h
93. i
94. g
95. h
96. e
97. r
98.
99. r
100. e
101. a
102. c
103. t
104. a
105. n
106. c
107. e
108.
109. a
110. n
111. d
112.
113. s
114. m
115. a
116. l
117. l
118. e
119. r
120.
121. c
122. u
123. r
124. r
125. e
126. n
127. t
128. .

Answer: (b) Maxwell

Explanation:
1. James Clerk Maxwell introduced the displacement current to make Ampere's circuital law consistent for a charging capacitor.

Teacher's Note:
1. M
2. a
3. x
4. w
5. e
6. l
7. l
8. '
9. s
10.
11. d
12. i
13. s
14. p
15. l
16. a
17. c
18. e
19. m
20. e
21. n
22. t
23.
24. c
25. u
26. r
27. r
28. e
29. n
30. t
31.
32. l
33. e
34. d
35.
36. t
37. o
38.
39. t
40. h
41. e
42.
43. p
44. r
45. e
46. d
47. i
48. c
49. t
50. i
51. o
52. n
53.
54. o
55. f
56.
57. e
58. l
59. e
60. c
61. t
62. r
63. o
64. m
65. a
66. g
67. n
68. e
69. t
70. i
71. c
72.
73. w
74. a
75. v
76. e
77. s
78. .
79.
80. H
81. e
82. r
83. t
84. z
85.
86. l
87. a
88. t
89. e
90. r
91.
92. p
93. r
94. o
95. d
96. u
97. c
98. e
99. d
100.
101. t
102. h
103. e
104. m
105.
106. i
107. n
108.
109. t
110. h
111. e
112.
113. l
114. a
115. b
116. o
117. r
118. a
119. t
120. o
121. r
122. y
123. .

Answer: (b) \( \dfrac{1}{\sqrt{\mu\varepsilon}} \)

Explanation:
1. In vacuum \( c = \dfrac{1}{\sqrt{\mu_0\varepsilon_0}} \).
2. In a medium the same relation holds with \( \mu \) and \( \varepsilon \): \( v = \dfrac{1}{\sqrt{\mu\varepsilon}} \).

Teacher's Note:
1. S
2. i
3. n
4. c
5. e
6.
7. \
8. (
9.
10. \
11. m
12. u
13.
14. \
15. )
16.
17. a
18. n
19. d
20.
21. \
22. (
23.
24. \
25. v
26. a
27. r
28. e
29. p
30. s
31. i
32. l
33. o
34. n
35.
36. \
37. )
38.
39. o
40. f
41.
42. a
43.
44. m
45. e
46. d
47. i
48. u
49. m
50.
51. a
52. r
53. e
54.
55. l
56. a
57. r
58. g
59. e
60. r
61.
62. t
63. h
64. a
65. n
66.
67. t
68. h
69. o
70. s
71. e
72.
73. o
74. f
75.
76. v
77. a
78. c
79. u
80. u
81. m
82. ,
83.
84. t
85. h
86. e
87.
88. s
89. p
90. e
91. e
92. d
93.
94. i
95. n
96.
97. a
98.
99. m
100. e
101. d
102. i
103. u
104. m
105.
106. i
107. s
108.
109. l
110. e
111. s
112. s
113.
114. t
115. h
116. a
117. n
118.
119. c
120. .

Answer: (b) infrared rays

Explanation:
1. The Earth re-radiates absorbed sunlight as infrared radiation.
2. Greenhouse gases such as carbon dioxide and water vapour trap this infrared radiation and warm the surroundings.

Teacher's Note:
1. I
2. n
3. f
4. r
5. a
6. r
7. e
8. d
9.
10. r
11. a
12. d
13. i
14. a
15. t
16. i
17. o
18. n
19.
20. i
21. s
22.
23. o
24. f
25. t
26. e
27. n
28.
29. c
30. a
31. l
32. l
33. e
34. d
35.
36. h
37. e
38. a
39. t
40.
41. r
42. a
43. d
44. i
45. a
46. t
47. i
48. o
49. n
50. .
51.
52. I
53. t
54.
55. i
56. s
57.
58. t
59. r
60. a
61. p
62. p
63. e
64. d
65.
66. b
67. y
68.
69. g
70. r
71. e
72. e
73. n
74. h
75. o
76. u
77. s
78. e
79.
80. g
81. a
82. s
83. e
84. s
85. .

Answer: (b) infrared rays

Explanation:
1. Infrared radiation passes through haze and fog much better than visible light.
2. So infrared-sensitive films can photograph objects that are not clearly visible, for example in fog or darkness.

Teacher's Note:
1. I
2. n
3. f
4. r
5. a
6. r
7. e
8. d
9.
10. p
11. h
12. o
13. t
14. o
15. g
16. r
17. a
18. p
19. h
20. y
21.
22. i
23. s
24.
25. u
26. s
27. e
28. d
29.
30. i
31. n
32.
33. r
34. e
35. m
36. o
37. t
38. e
39.
40. s
41. e
42. n
43. s
44. i
45. n
46. g
47.
48. a
49. n
50. d
51.
52. i
53. n
54.
55. n
56. i
57. g
58. h
59. t
60.
61. p
62. h
63. o
64. t
65. o
66. g
67. r
68. a
69. p
70. h
71. y
72. .

Answer: (a) Displacement current comes into play in a region where the electric field changes with time

Explanation:
1. Displacement current is \( I_D = \varepsilon_0 \dfrac{d\phi_E}{dt} \), so it exists only when the electric flux changes.
2. Beta rays are fast electrons, not electromagnetic waves.
3. The energy is shared between electric and magnetic fields.
4. The speed \( c = 1/\sqrt{\mu_0\varepsilon_0} \) does not depend on amplitude.

Teacher's Note:
1. C
2. h
3. e
4. c
5. k
6.
7. e
8. a
9. c
10. h
11.
12. s
13. t
14. a
15. t
16. e
17. m
18. e
19. n
20. t
21.
22. a
23. g
24. a
25. i
26. n
27. s
28. t
29.
30. i
31. t
32. s
33.
34. d
35. e
36. f
37. i
38. n
39. i
40. t
41. i
42. o
43. n
44. .
45.
46. B
47. e
48. t
49. a
50.
51. r
52. a
53. y
54. s
55.
56. a
57. r
58. e
59.
60. p
61. a
62. r
63. t
64. i
65. c
66. l
67. e
68. s
69. ,
70.
71. s
72. o
73.
74. t
75. h
76. e
77. y
78.
79. a
80. r
81. e
82.
83. n
84. o
85. t
86.
87. p
88. a
89. r
90. t
91.
92. o
93. f
94.
95. t
96. h
97. e
98.
99. e
100. l
101. e
102. c
103. t
104. r
105. o
106. m
107. a
108. g
109. n
110. e
111. t
112. i
113. c
114.
115. s
116. p
117. e
118. c
119. t
120. r
121. u
122. m
123. .

Answer: (b) Gamma rays have the shortest wavelength in the electromagnetic spectrum

Explanation:
1. Wavelength order: radio, microwave, infrared, visible, ultraviolet, X-rays, gamma rays, so gamma rays have the shortest wavelength.
2. Microwaves have lower frequency than ultraviolet rays.
3. Radiation pressure is \( I/c \) for total absorption.
4. Speed in vacuum is the constant c.

Teacher's Note:
1. L
2. e
3. a
4. r
5. n
6.
7. t
8. h
9. e
10.
11. s
12. p
13. e
14. c
15. t
16. r
17. u
18. m
19.
20. i
21. n
22.
23. o
24. r
25. d
26. e
27. r
28.
29. o
30. f
31.
32. d
33. e
34. c
35. r
36. e
37. a
38. s
39. i
40. n
41. g
42.
43. w
44. a
45. v
46. e
47. l
48. e
49. n
50. g
51. t
52. h
53. .
54.
55. T
56. h
57. e
58.
59. m
60. n
61. e
62. m
63. o
64. n
65. i
66. c
67.
68. R
69. M
70. I
71. V
72. U
73. X
74. G
75.
76. h
77. e
78. l
79. p
80. s
81. .

Answer: (a) \( I/c \)

Explanation:
1. Momentum delivered per unit time per unit area equals \( I/c \) when the wave is fully absorbed.
2. If it is totally reflected the momentum change doubles, giving \( 2I/c \).

Teacher's Note:
1. R
2. a
3. d
4. i
5. a
6. t
7. i
8. o
9. n
10.
11. p
12. r
13. e
14. s
15. s
16. u
17. r
18. e
19.
20. s
21. h
22. o
23. w
24. s
25.
26. t
27. h
28. a
29. t
30.
31. e
32. l
33. e
34. c
35. t
36. r
37. o
38. m
39. a
40. g
41. n
42. e
43. t
44. i
45. c
46.
47. w
48. a
49. v
50. e
51. s
52.
53. c
54. a
55. r
56. r
57. y
58.
59. m
60. o
61. m
62. e
63. n
64. t
65. u
66. m
67. .

Answer: (b) ultraviolet rays

Explanation:
1. Ultraviolet radiation kills bacteria and is used to sterilize food and water.

Teacher's Note:
1. U
2. V
3.
4. r
5. a
6. y
7. s
8.
9. a
10. r
11. e
12.
13. g
14. e
15. r
16. m
17. i
18. c
19. i
20. d
21. a
22. l
23. .
24.
25. T
26. h
27. e
28.
29. s
30. a
31. m
32. e
33.
34. p
35. r
36. o
37. p
38. e
39. r
40. t
41. y
42.
43. i
44. s
45.
46. u
47. s
48. e
49. d
50.
51. i
52. n
53.
54. w
55. a
56. t
57. e
58. r
59.
60. p
61. u
62. r
63. i
64. f
65. i
66. e
67. r
68. s
69. .

Answer: (a) \( 2\ \text{m}^{-1} \)

Explanation:
1. Comparing with \( \cos(kz - \omega t) \), \( \omega = 6\times10^{8} \) rad/s.
2. \( k = \dfrac{\omega}{c} = \dfrac{6\times10^{8}}{3\times10^{8}} = 2\ \text{m}^{-1} \).

Teacher's Note:
1. U
2. s
3. e
4.
5. \
6. (
7.
8. k
9.
10. =
11.
12. \
13. o
14. m
15. e
16. g
17. a
18. /
19. c
20.
21. \
22. )
23.
24. f
25. o
26. r
27.
28. w
29. a
30. v
31. e
32. s
33.
34. i
35. n
36.
37. v
38. a
39. c
40. u
41. u
42. m
43. .
44.
45. R
46. e
47. a
48. d
49.
50. \
51. (
52.
53. \
54. o
55. m
56. e
57. g
58. a
59.
60. \
61. )
62.
63. d
64. i
65. r
66. e
67. c
68. t
69. l
70. y
71.
72. f
73. r
74. o
75. m
76.
77. t
78. h
79. e
80.
81. e
82. q
83. u
84. a
85. t
86. i
87. o
88. n
89. .

Answer: (c) an electron oscillating about a mean position

Explanation:
1. Electromagnetic waves are produced only by accelerated charges.
2. An oscillating electron is continuously accelerated, so it radiates; the other three have zero acceleration or no charge.

Teacher's Note:
1. R
2. e
3. m
4. e
5. m
6. b
7. e
8. r
9.
10. t
11. h
12. a
13. t
14.
15. a
16. n
17.
18. a
19. c
20. c
21. e
22. l
23. e
24. r
25. a
26. t
27. e
28. d
29.
30. c
31. h
32. a
33. r
34. g
35. e
36.
37. r
38. a
39. d
40. i
41. a
42. t
43. e
44. s
45. .
46.
47. A
48.
49. u
50. n
51. i
52. f
53. o
54. r
55. m
56. l
57. y
58.
59. m
60. o
61. v
62. i
63. n
64. g
65.
66. c
67. h
68. a
69. r
70. g
71. e
72.
73. d
74. o
75. e
76. s
77.
78. n
79. o
80. t
81. .

Answer: (c) \( \dfrac{cB_0^2}{2\mu_0} \)

Explanation:
1. \( I = \dfrac{1}{2}\varepsilon_0E_0^2c \) and \( E_0 = cB_0 \).
2. So \( I = \dfrac{1}{2}\varepsilon_0c^3B_0^2 \). Using \( \varepsilon_0c^2 = 1/\mu_0 \), \( I = \dfrac{cB_0^2}{2\mu_0} \).

Teacher's Note:
1. I
2. n
3. t
4. e
5. n
6. s
7. i
8. t
9. y
10.
11. e
12. q
13. u
14. a
15. l
16. s
17.
18. t
19. h
20. e
21.
22. a
23. v
24. e
25. r
26. a
27. g
28. e
29.
30. e
31. n
32. e
33. r
34. g
35. y
36.
37. d
38. e
39. n
40. s
41. i
42. t
43. y
44.
45. t
46. i
47. m
48. e
49. s
50.
51. c
52. .
53.
54. C
55. o
56. n
57. v
58. e
59. r
60. t
61.
62. b
63. e
64. t
65. w
66. e
67. e
68. n
69.
70. E
71.
72. a
73. n
74. d
75.
76. B
77.
78. w
79. i
80. t
81. h
82.
83. \
84. (
85.
86. E
87. _
88. 0
89.
90. =
91.
92. c
93. B
94. _
95. 0
96.
97. \
98. )
99. .

Answer: (b) \( E \propto \dfrac{1}{r},\ B \propto \dfrac{1}{r} \)

Explanation:
1. Intensity falls as \( 1/r^2 \) because the energy spreads over a sphere of area \( 4\pi r^2 \).
2. Intensity is proportional to \( E_0^2 \) (and \( B_0^2 \)), so the amplitudes fall as \( 1/r \).

Teacher's Note:
1. I
2. n
3. t
4. e
5. n
6. s
7. i
8. t
9. y
10.
11. g
12. o
13. e
14. s
15.
16. a
17. s
18.
19. t
20. h
21. e
22.
23. s
24. q
25. u
26. a
27. r
28. e
29.
30. o
31. f
32.
33. t
34. h
35. e
36.
37. a
38. m
39. p
40. l
41. i
42. t
43. u
44. d
45. e
46. .
47.
48. A
49. n
50.
51. i
52. n
53. v
54. e
55. r
56. s
57. e
58. -
59. s
60. q
61. u
62. a
63. r
64. e
65.
66. i
67. n
68. t
69. e
70. n
71. s
72. i
73. t
74. y
75.
76. t
77. h
78. e
79. r
80. e
81. f
82. o
83. r
84. e
85.
86. m
87. e
88. a
89. n
90. s
91.
92. a
93. n
94.
95. i
96. n
97. v
98. e
99. r
100. s
101. e
102.
103. a
104. m
105. p
106. l
107. i
108. t
109. u
110. d
111. e
112. .

Answer: (a) Maxwell

Explanation:
1. Maxwell predicted electromagnetic waves from his equations; Hertz detected them experimentally.

Teacher's Note:
1. P
2. r
3. e
4. d
5. i
6. c
7. t
8. i
9. o
10. n
11.
12. i
13. s
14.
15. b
16. y
17.
18. M
19. a
20. x
21. w
22. e
23. l
24. l
25.
26. a
27. n
28. d
29.
30. e
31. x
32. p
33. e
34. r
35. i
36. m
37. e
38. n
39. t
40. a
41. l
42.
43. p
44. r
45. o
46. d
47. u
48. c
49. t
50. i
51. o
52. n
53.
54. i
55. s
56.
57. b
58. y
59.
60. H
61. e
62. r
63. t
64. z
65. .

Answer: (d) \( B_y = \dfrac{60}{c}\sin(kx + \omega t)\ \text{T} \)

Explanation:
1. The phase \( kx + \omega t \) means the wave travels along \( -x \), with E along z.
2. B must be perpendicular to both E and the direction of travel, so it is along y.
3. Amplitude is \( B_0 = E_0/c = 60/c \), and B has the same phase as E. Hence \( B_y = \dfrac{60}{c}\sin(kx+\omega t) \).

Teacher's Note:
1. E
2. ,
3.
4. B
5.
6. a
7. n
8. d
9.
10. t
11. h
12. e
13.
14. d
15. i
16. r
17. e
18. c
19. t
20. i
21. o
22. n
23.
24. o
25. f
26.
27. t
28. r
29. a
30. v
31. e
32. l
33.
34. a
35. r
36. e
37.
38. m
39. u
40. t
41. u
42. a
43. l
44. l
45. y
46.
47. p
48. e
49. r
50. p
51. e
52. n
53. d
54. i
55. c
56. u
57. l
58. a
59. r
60. ,
61.
62. w
63. i
64. t
65. h
66.
67. \
68. (
69.
70. \
71. v
72. e
73. c
74. {
75. E
76. }
77. \
78. t
79. i
80. m
81. e
82. s
83. \
84. v
85. e
86. c
87. {
88. B
89. }
90.
91. \
92. )
93.
94. a
95. l
96. o
97. n
98. g
99.
100. t
101. h
102. e
103.
104. d
105. i
106. r
107. e
108. c
109. t
110. i
111. o
112. n
113.
114. o
115. f
116.
117. p
118. r
119. o
120. p
121. a
122. g
123. a
124. t
125. i
126. o
127. n
128. .

Answer: (a) 36.6 m

Explanation:
1. \( \lambda = \dfrac{c}{\nu} = \dfrac{3\times10^{8}}{8.2\times10^{6}} = 36.6 \) m.

Teacher's Note:
1. U
2. s
3. e
4.
5. \
6. (
7.
8. c
9.
10. =
11.
12. \
13. n
14. u
15. \
16. l
17. a
18. m
19. b
20. d
21. a
22.
23. \
24. )
25.
26. a
27. n
28. d
29.
30. k
31. e
32. e
33. p
34.
35. t
36. h
37. e
38.
39. u
40. n
41. i
42. t
43. s
44.
45. c
46. o
47. n
48. s
49. i
50. s
51. t
52. e
53. n
54. t
55. .

Answer: (b) The radiation lies in the infrared region

Explanation:
1. The human body is at about 310 K.
2. By Wien's law the peak wavelength is of the order of 10 micrometres, which lies in the infrared region. The body radiates all the time.

Teacher's Note:
1. E
2. v
3. e
4. r
5. y
6.
7. b
8. o
9. d
10. y
11.
12. a
13. b
14. o
15. v
16. e
17.
18. a
19. b
20. s
21. o
22. l
23. u
24. t
25. e
26.
27. z
28. e
29. r
30. o
31.
32. r
33. a
34. d
35. i
36. a
37. t
38. e
39. s
40. .
41.
42. A
43. t
44.
45. b
46. o
47. d
48. y
49.
50. t
51. e
52. m
53. p
54. e
55. r
56. a
57. t
58. u
59. r
60. e
61.
62. t
63. h
64. e
65.
66. r
67. a
68. d
69. i
70. a
71. t
72. i
73. o
74. n
75.
76. i
77. s
78.
79. i
80. n
81. f
82. r
83. a
84. r
85. e
86. d
87. .

Answer: (b) \( 10^{14} \) Hz

Explanation:
1. To observe a particle the wavelength must be comparable to its size. Diameter \( = 6\times10^{-4} \) cm \( = 6\times10^{-6} \) m.
2. \( \nu = \dfrac{c}{\lambda} = \dfrac{3\times10^{8}}{6\times10^{-6}} = 5\times10^{13} \) Hz, which is of the order of \( 10^{14} \) Hz.

Teacher's Note:
1. R
2. e
3. s
4. o
5. l
6. v
7. i
8. n
9. g
10.
11. a
12. n
13.
14. o
15. b
16. j
17. e
18. c
19. t
20.
21. n
22. e
23. e
24. d
25. s
26.
27. a
28.
29. w
30. a
31. v
32. e
33. l
34. e
35. n
36. g
37. t
38. h
39.
40. a
41. b
42. o
43. u
44. t
45.
46. e
47. q
48. u
49. a
50. l
51.
52. t
53. o
54.
55. i
56. t
57. s
58.
59. s
60. i
61. z
62. e
63. .
64.
65. U
66. s
67. e
68.
69. \
70. (
71.
72. \
73. n
74. u
75.
76. =
77.
78. c
79. /
80. \
81. l
82. a
83. m
84. b
85. d
86. a
87.
88. \
89. )
90.
91. f
92. o
93. r
94.
95. t
96. h
97. e
98.
99. o
100. r
101. d
102. e
103. r
104.
105. o
106. f
107.
108. m
109. a
110. g
111. n
112. i
113. t
114. u
115. d
116. e
117. .

Answer: (b) the reciprocal of the speed of light in vacuum

Explanation:
1. \( \dfrac{E_0}{B_0} = c \), so \( \dfrac{B_0}{E_0} = \dfrac{1}{c} \).

Teacher's Note:
1. R
2. e
3. m
4. e
5. m
6. b
7. e
8. r
9.
10. \
11. (
12.
13. E
14. _
15. 0
16.
17. =
18.
19. c
20. B
21. _
22. 0
23.
24. \
25. )
26. .
27.
28. T
29. h
30. e
31.
32. r
33. a
34. t
35. i
36. o
37.
38. B
39.
40. t
41. o
42.
43. E
44.
45. i
46. s
47.
48. t
49. h
50. e
51. r
52. e
53. f
54. o
55. r
56. e
57.
58. 1
59. /
60. c
61. .

Answer: (d) \( 3.0\times10^{-5} \) T

Explanation:
1. \( B_0 = \dfrac{E_0}{c} = \dfrac{9\times10^{3}}{3\times10^{8}} = 3\times10^{-5} \) T.

Teacher's Note:
1. D
2. i
3. v
4. i
5. d
6. e
7.
8. t
9. h
10. e
11.
12. e
13. l
14. e
15. c
16. t
17. r
18. i
19. c
20.
21. a
22. m
23. p
24. l
25. i
26. t
27. u
28. d
29. e
30.
31. b
32. y
33.
34. c
35.
36. t
37. o
38.
39. g
40. e
41. t
42.
43. t
44. h
45. e
46.
47. m
48. a
49. g
50. n
51. e
52. t
53. i
54. c
55.
56. a
57. m
58. p
59. l
60. i
61. t
62. u
63. d
64. e
65.
66. i
67. n
68.
69. t
70. e
71. s
72. l
73. a
74. .

Answer: (c) Beta rays

Explanation:
1. Gamma rays and X-rays are electromagnetic radiation.
2. Beta rays are streams of fast-moving electrons, which are particles, so they are not electromagnetic waves.

Teacher's Note:
1. A
2. l
3. p
4. h
5. a
6.
7. a
8. n
9. d
10.
11. b
12. e
13. t
14. a
15.
16. r
17. a
18. y
19. s
20.
21. a
22. r
23. e
24.
25. p
26. a
27. r
28. t
29. i
30. c
31. l
32. e
33.
34. b
35. e
36. a
37. m
38. s
39. .
40.
41. G
42. a
43. m
44. m
45. a
46.
47. r
48. a
49. y
50. s
51.
52. a
53. r
54. e
55.
56. p
57. h
58. o
59. t
60. o
61. n
62. s
63. .