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9
3739-3742
For example, in ideal GaAs the ratio of Ga:As is 1:1 but in Ga-rich or As-rich GaAs it could respectively be Ga1 1 As0 9 or Ga0 9 As1
9
3740-3743
1 As0 9 or Ga0 9 As1 1
9
3741-3744
9 or Ga0 9 As1 1 In general, the presence of defects control the properties of semiconductors in many ways
9
3742-3745
9 As1 1 In general, the presence of defects control the properties of semiconductors in many ways EXERCISES 14
9
3743-3746
1 In general, the presence of defects control the properties of semiconductors in many ways EXERCISES 14 1 In an n-type silicon, which of the following statement is true: (a) Electrons are majority carriers and trivalent atoms are the dopants
9
3744-3747
In general, the presence of defects control the properties of semiconductors in many ways EXERCISES 14 1 In an n-type silicon, which of the following statement is true: (a) Electrons are majority carriers and trivalent atoms are the dopants (b) Electrons are minority carriers and pentavalent atoms are the dopants
9
3745-3748
EXERCISES 14 1 In an n-type silicon, which of the following statement is true: (a) Electrons are majority carriers and trivalent atoms are the dopants (b) Electrons are minority carriers and pentavalent atoms are the dopants (c) Holes are minority carriers and pentavalent atoms are the dopants
9
3746-3749
1 In an n-type silicon, which of the following statement is true: (a) Electrons are majority carriers and trivalent atoms are the dopants (b) Electrons are minority carriers and pentavalent atoms are the dopants (c) Holes are minority carriers and pentavalent atoms are the dopants (d) Holes are majority carriers and trivalent atoms are the dopants
9
3747-3750
(b) Electrons are minority carriers and pentavalent atoms are the dopants (c) Holes are minority carriers and pentavalent atoms are the dopants (d) Holes are majority carriers and trivalent atoms are the dopants 14
9
3748-3751
(c) Holes are minority carriers and pentavalent atoms are the dopants (d) Holes are majority carriers and trivalent atoms are the dopants 14 2 Which of the statements given in Exercise 14
9
3749-3752
(d) Holes are majority carriers and trivalent atoms are the dopants 14 2 Which of the statements given in Exercise 14 1 is true for p-type semiconductos
9
3750-3753
14 2 Which of the statements given in Exercise 14 1 is true for p-type semiconductos 14
9
3751-3754
2 Which of the statements given in Exercise 14 1 is true for p-type semiconductos 14 3 Carbon, silicon and germanium have four valence electrons each
9
3752-3755
1 is true for p-type semiconductos 14 3 Carbon, silicon and germanium have four valence electrons each These are characterised by valence and conduction bands separated Rationalised 2023-24 Physics 342 by energy band gap respectively equal to (Eg)C, (Eg)Si and (Eg)Ge
9
3753-3756
14 3 Carbon, silicon and germanium have four valence electrons each These are characterised by valence and conduction bands separated Rationalised 2023-24 Physics 342 by energy band gap respectively equal to (Eg)C, (Eg)Si and (Eg)Ge Which of the following statements is true
9
3754-3757
3 Carbon, silicon and germanium have four valence electrons each These are characterised by valence and conduction bands separated Rationalised 2023-24 Physics 342 by energy band gap respectively equal to (Eg)C, (Eg)Si and (Eg)Ge Which of the following statements is true (a) (Eg)Si < (Eg)Ge < (Eg)C (b) (Eg)C < (Eg)Ge > (Eg)Si (c) (Eg)C > (Eg)Si > (Eg)Ge (d) (Eg)C = (Eg)Si = (Eg)Ge 14
9
3755-3758
These are characterised by valence and conduction bands separated Rationalised 2023-24 Physics 342 by energy band gap respectively equal to (Eg)C, (Eg)Si and (Eg)Ge Which of the following statements is true (a) (Eg)Si < (Eg)Ge < (Eg)C (b) (Eg)C < (Eg)Ge > (Eg)Si (c) (Eg)C > (Eg)Si > (Eg)Ge (d) (Eg)C = (Eg)Si = (Eg)Ge 14 4 In an unbiased p-n junction, holes diffuse from the p-region to n-region because (a) free electrons in the n-region attract them
9
3756-3759
Which of the following statements is true (a) (Eg)Si < (Eg)Ge < (Eg)C (b) (Eg)C < (Eg)Ge > (Eg)Si (c) (Eg)C > (Eg)Si > (Eg)Ge (d) (Eg)C = (Eg)Si = (Eg)Ge 14 4 In an unbiased p-n junction, holes diffuse from the p-region to n-region because (a) free electrons in the n-region attract them (b) they move across the junction by the potential difference
9
3757-3760
(a) (Eg)Si < (Eg)Ge < (Eg)C (b) (Eg)C < (Eg)Ge > (Eg)Si (c) (Eg)C > (Eg)Si > (Eg)Ge (d) (Eg)C = (Eg)Si = (Eg)Ge 14 4 In an unbiased p-n junction, holes diffuse from the p-region to n-region because (a) free electrons in the n-region attract them (b) they move across the junction by the potential difference (c) hole concentration in p-region is more as compared to n-region
9
3758-3761
4 In an unbiased p-n junction, holes diffuse from the p-region to n-region because (a) free electrons in the n-region attract them (b) they move across the junction by the potential difference (c) hole concentration in p-region is more as compared to n-region (d) All the above
9
3759-3762
(b) they move across the junction by the potential difference (c) hole concentration in p-region is more as compared to n-region (d) All the above 14
9
3760-3763
(c) hole concentration in p-region is more as compared to n-region (d) All the above 14 5 When a forward bias is applied to a p-n junction, it (a) raises the potential barrier
9
3761-3764
(d) All the above 14 5 When a forward bias is applied to a p-n junction, it (a) raises the potential barrier (b) reduces the majority carrier current to zero
9
3762-3765
14 5 When a forward bias is applied to a p-n junction, it (a) raises the potential barrier (b) reduces the majority carrier current to zero (c) lowers the potential barrier
9
3763-3766
5 When a forward bias is applied to a p-n junction, it (a) raises the potential barrier (b) reduces the majority carrier current to zero (c) lowers the potential barrier (d) None of the above
9
3764-3767
(b) reduces the majority carrier current to zero (c) lowers the potential barrier (d) None of the above 14
9
3765-3768
(c) lowers the potential barrier (d) None of the above 14 6 In half-wave rectification, what is the output frequency if the input frequency is 50 Hz
9
3766-3769
(d) None of the above 14 6 In half-wave rectification, what is the output frequency if the input frequency is 50 Hz What is the output frequency of a full-wave rectifier for the same input frequency
9
3767-3770
14 6 In half-wave rectification, what is the output frequency if the input frequency is 50 Hz What is the output frequency of a full-wave rectifier for the same input frequency Rationalised 2023-24 Notes Rationalised 2023-24 344 Physics APPENDICES APPENDIX A 1 THE GREEK ALPHABET APPENDIX A 2 COMMON SI PREFIXES AND SYMBOLS FOR MULTIPLES AND SUB-MULTIPLES Rationalised 2023-24 345 Answers Appendices APPENDIX A 3 SOME IMPORTANT CONSTANTS OTHER USEFUL CONSTANTS Rationalised 2023-24 346 Physics ANSWERS CHAPTER 9 9
9
3768-3771
6 In half-wave rectification, what is the output frequency if the input frequency is 50 Hz What is the output frequency of a full-wave rectifier for the same input frequency Rationalised 2023-24 Notes Rationalised 2023-24 344 Physics APPENDICES APPENDIX A 1 THE GREEK ALPHABET APPENDIX A 2 COMMON SI PREFIXES AND SYMBOLS FOR MULTIPLES AND SUB-MULTIPLES Rationalised 2023-24 345 Answers Appendices APPENDIX A 3 SOME IMPORTANT CONSTANTS OTHER USEFUL CONSTANTS Rationalised 2023-24 346 Physics ANSWERS CHAPTER 9 9 1 v = –54 cm
9
3769-3772
What is the output frequency of a full-wave rectifier for the same input frequency Rationalised 2023-24 Notes Rationalised 2023-24 344 Physics APPENDICES APPENDIX A 1 THE GREEK ALPHABET APPENDIX A 2 COMMON SI PREFIXES AND SYMBOLS FOR MULTIPLES AND SUB-MULTIPLES Rationalised 2023-24 345 Answers Appendices APPENDIX A 3 SOME IMPORTANT CONSTANTS OTHER USEFUL CONSTANTS Rationalised 2023-24 346 Physics ANSWERS CHAPTER 9 9 1 v = –54 cm The image is real, inverted and magnified
9
3770-3773
Rationalised 2023-24 Notes Rationalised 2023-24 344 Physics APPENDICES APPENDIX A 1 THE GREEK ALPHABET APPENDIX A 2 COMMON SI PREFIXES AND SYMBOLS FOR MULTIPLES AND SUB-MULTIPLES Rationalised 2023-24 345 Answers Appendices APPENDIX A 3 SOME IMPORTANT CONSTANTS OTHER USEFUL CONSTANTS Rationalised 2023-24 346 Physics ANSWERS CHAPTER 9 9 1 v = –54 cm The image is real, inverted and magnified The size of the image is 5
9
3771-3774
1 v = –54 cm The image is real, inverted and magnified The size of the image is 5 0 cm
9
3772-3775
The image is real, inverted and magnified The size of the image is 5 0 cm As u ® f, v ® ¥; for u < f, image is virtual
9
3773-3776
The size of the image is 5 0 cm As u ® f, v ® ¥; for u < f, image is virtual 9
9
3774-3777
0 cm As u ® f, v ® ¥; for u < f, image is virtual 9 2 v = 6
9
3775-3778
As u ® f, v ® ¥; for u < f, image is virtual 9 2 v = 6 7 cm
9
3776-3779
9 2 v = 6 7 cm Magnification = 5/9, i
9
3777-3780
2 v = 6 7 cm Magnification = 5/9, i e
9
3778-3781
7 cm Magnification = 5/9, i e , the size of the image is 2
9
3779-3782
Magnification = 5/9, i e , the size of the image is 2 5 cm
9
3780-3783
e , the size of the image is 2 5 cm As u ® ¥; v ® f (but never beyond) while m ® 0
9
3781-3784
, the size of the image is 2 5 cm As u ® ¥; v ® f (but never beyond) while m ® 0 9
9
3782-3785
5 cm As u ® ¥; v ® f (but never beyond) while m ® 0 9 3 1
9
3783-3786
As u ® ¥; v ® f (but never beyond) while m ® 0 9 3 1 33; 1
9
3784-3787
9 3 1 33; 1 7 cm 9
9
3785-3788
3 1 33; 1 7 cm 9 4 nga = 1
9
3786-3789
33; 1 7 cm 9 4 nga = 1 51; nwa = 1
9
3787-3790
7 cm 9 4 nga = 1 51; nwa = 1 32; ngw = 1
9
3788-3791
4 nga = 1 51; nwa = 1 32; ngw = 1 144; which gives sin r = 0
9
3789-3792
51; nwa = 1 32; ngw = 1 144; which gives sin r = 0 6181 i
9
3790-3793
32; ngw = 1 144; which gives sin r = 0 6181 i e
9
3791-3794
144; which gives sin r = 0 6181 i e , r ~ 38°
9
3792-3795
6181 i e , r ~ 38° 9
9
3793-3796
e , r ~ 38° 9 5 r = 0
9
3794-3797
, r ~ 38° 9 5 r = 0 8 × tan ic and sin 1/1
9
3795-3798
9 5 r = 0 8 × tan ic and sin 1/1 33 0
9
3796-3799
5 r = 0 8 × tan ic and sin 1/1 33 0 75 ci = ≅ , where r is the radius (in m) of the largest circle from which light comes out and ic is the critical angle for water-air interface, Area = 2
9
3797-3800
8 × tan ic and sin 1/1 33 0 75 ci = ≅ , where r is the radius (in m) of the largest circle from which light comes out and ic is the critical angle for water-air interface, Area = 2 6 m2 9
9
3798-3801
33 0 75 ci = ≅ , where r is the radius (in m) of the largest circle from which light comes out and ic is the critical angle for water-air interface, Area = 2 6 m2 9 6 n ≅ 1
9
3799-3802
75 ci = ≅ , where r is the radius (in m) of the largest circle from which light comes out and ic is the critical angle for water-air interface, Area = 2 6 m2 9 6 n ≅ 1 53 and Dm for prism in water ≅ 10° 9
9
3800-3803
6 m2 9 6 n ≅ 1 53 and Dm for prism in water ≅ 10° 9 7 R = 22 cm 9
9
3801-3804
6 n ≅ 1 53 and Dm for prism in water ≅ 10° 9 7 R = 22 cm 9 8 Here the object is virtual and the image is real
9
3802-3805
53 and Dm for prism in water ≅ 10° 9 7 R = 22 cm 9 8 Here the object is virtual and the image is real u = +12 cm (object on right; virtual) (a) f = +20 cm
9
3803-3806
7 R = 22 cm 9 8 Here the object is virtual and the image is real u = +12 cm (object on right; virtual) (a) f = +20 cm Image is real and at 7
9
3804-3807
8 Here the object is virtual and the image is real u = +12 cm (object on right; virtual) (a) f = +20 cm Image is real and at 7 5 cm from the lens on its right side
9
3805-3808
u = +12 cm (object on right; virtual) (a) f = +20 cm Image is real and at 7 5 cm from the lens on its right side (b) f = –16 cm
9
3806-3809
Image is real and at 7 5 cm from the lens on its right side (b) f = –16 cm Image is real and at 48 cm from the lens on its right side
9
3807-3810
5 cm from the lens on its right side (b) f = –16 cm Image is real and at 48 cm from the lens on its right side 9
9
3808-3811
(b) f = –16 cm Image is real and at 48 cm from the lens on its right side 9 9 v = 8
9
3809-3812
Image is real and at 48 cm from the lens on its right side 9 9 v = 8 4 cm, image is erect and virtual
9
3810-3813
9 9 v = 8 4 cm, image is erect and virtual It is diminished to a size 1
9
3811-3814
9 v = 8 4 cm, image is erect and virtual It is diminished to a size 1 8 cm
9
3812-3815
4 cm, image is erect and virtual It is diminished to a size 1 8 cm As u ® ¥, v ® f (but never beyond f while m ® 0)
9
3813-3816
It is diminished to a size 1 8 cm As u ® ¥, v ® f (but never beyond f while m ® 0) Note that when the object is placed at the focus of the concave lens (21 cm), the image is located at 10
9
3814-3817
8 cm As u ® ¥, v ® f (but never beyond f while m ® 0) Note that when the object is placed at the focus of the concave lens (21 cm), the image is located at 10 5 cm (not at infinity as one might wrongly think)
9
3815-3818
As u ® ¥, v ® f (but never beyond f while m ® 0) Note that when the object is placed at the focus of the concave lens (21 cm), the image is located at 10 5 cm (not at infinity as one might wrongly think) 9
9
3816-3819
Note that when the object is placed at the focus of the concave lens (21 cm), the image is located at 10 5 cm (not at infinity as one might wrongly think) 9 10 A diverging lens of focal length 60 cm 9
9
3817-3820
5 cm (not at infinity as one might wrongly think) 9 10 A diverging lens of focal length 60 cm 9 11 (a) ve = –25 cm and fe = 6
9
3818-3821
9 10 A diverging lens of focal length 60 cm 9 11 (a) ve = –25 cm and fe = 6 25 cm give ue = –5 cm; vO = (15 – 5) cm = 10 cm, fO = uO = – 2
9
3819-3822
10 A diverging lens of focal length 60 cm 9 11 (a) ve = –25 cm and fe = 6 25 cm give ue = –5 cm; vO = (15 – 5) cm = 10 cm, fO = uO = – 2 5 cm; Magnifying power = 20 (b) uO = – 2
9
3820-3823
11 (a) ve = –25 cm and fe = 6 25 cm give ue = –5 cm; vO = (15 – 5) cm = 10 cm, fO = uO = – 2 5 cm; Magnifying power = 20 (b) uO = – 2 59 cm
9
3821-3824
25 cm give ue = –5 cm; vO = (15 – 5) cm = 10 cm, fO = uO = – 2 5 cm; Magnifying power = 20 (b) uO = – 2 59 cm Magnifying power = 13
9
3822-3825
5 cm; Magnifying power = 20 (b) uO = – 2 59 cm Magnifying power = 13 5
9
3823-3826
59 cm Magnifying power = 13 5 9
9
3824-3827
Magnifying power = 13 5 9 12 Angular magnification of the eye-piece for image at 25 cm    25 2 5 1 11
9
3825-3828
5 9 12 Angular magnification of the eye-piece for image at 25 cm    25 2 5 1 11 ; | |
9
3826-3829
9 12 Angular magnification of the eye-piece for image at 25 cm    25 2 5 1 11 ; | | 25 cm 2 27cm 11 ue = = ; vO = 7
9
3827-3830
12 Angular magnification of the eye-piece for image at 25 cm    25 2 5 1 11 ; | | 25 cm 2 27cm 11 ue = = ; vO = 7 2 cm Separation = 9
9
3828-3831
; | | 25 cm 2 27cm 11 ue = = ; vO = 7 2 cm Separation = 9 47 cm; Magnifying power = 88 9
9
3829-3832
25 cm 2 27cm 11 ue = = ; vO = 7 2 cm Separation = 9 47 cm; Magnifying power = 88 9 13 24; 150 cm 9
9
3830-3833
2 cm Separation = 9 47 cm; Magnifying power = 88 9 13 24; 150 cm 9 14 (a) Angular magnification = 1500 (b) Diameter of the image = 13
9
3831-3834
47 cm; Magnifying power = 88 9 13 24; 150 cm 9 14 (a) Angular magnification = 1500 (b) Diameter of the image = 13 7 cm
9
3832-3835
13 24; 150 cm 9 14 (a) Angular magnification = 1500 (b) Diameter of the image = 13 7 cm Rationalised 2023-24 347 Answers 9
9
3833-3836
14 (a) Angular magnification = 1500 (b) Diameter of the image = 13 7 cm Rationalised 2023-24 347 Answers 9 15 Apply mirror equation and the condition: (a) f < 0 (concave mirror); u < 0 (object on left) (b) f > 0; u < 0 (c) f > 0 (convex mirror) and u < 0 (d) f < 0 (concave mirror); f < u < 0 to deduce the desired result
9
3834-3837
7 cm Rationalised 2023-24 347 Answers 9 15 Apply mirror equation and the condition: (a) f < 0 (concave mirror); u < 0 (object on left) (b) f > 0; u < 0 (c) f > 0 (convex mirror) and u < 0 (d) f < 0 (concave mirror); f < u < 0 to deduce the desired result 9
9
3835-3838
Rationalised 2023-24 347 Answers 9 15 Apply mirror equation and the condition: (a) f < 0 (concave mirror); u < 0 (object on left) (b) f > 0; u < 0 (c) f > 0 (convex mirror) and u < 0 (d) f < 0 (concave mirror); f < u < 0 to deduce the desired result 9 16 The pin appears raised by 5
9
3836-3839
15 Apply mirror equation and the condition: (a) f < 0 (concave mirror); u < 0 (object on left) (b) f > 0; u < 0 (c) f > 0 (convex mirror) and u < 0 (d) f < 0 (concave mirror); f < u < 0 to deduce the desired result 9 16 The pin appears raised by 5 0 cm
9
3837-3840
9 16 The pin appears raised by 5 0 cm It can be seen with an explicit ray diagram that the answer is independent of the location of the slab (for small angles of incidence)
9
3838-3841
16 The pin appears raised by 5 0 cm It can be seen with an explicit ray diagram that the answer is independent of the location of the slab (for small angles of incidence) 9