Practice MCQs for JEE Physics Mechanical Properties Of Solids
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Access Mechanical Properties Of Solids Questions and Solutions
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Multiple Choice Questions
(a) stress
(b) strain
(c) modulus of elasticity
(d) pressure only
Show Answer & Explanation
Answer: (a) stress
Explanation:
1. When a body is deformed, an internal restoring force per unit area develops. By definition this is stress.
Teacher's Note:
1. \( S \)
2. \( t \)
3. \( r \)
4. \( e \)
5. \( s \)
6. \( s \)
7.
8. \( i \)
9. \( s \)
10.
11. \( f \)
12. \( o \)
13. \( r \)
14. \( c \)
15. \( e \)
16.
17. \( p \)
18. \( e \)
19. \( r \)
20.
21. \( u \)
22. \( n \)
23. \( i \)
24. \( t \)
25.
26. a
27. \( r \)
28. \( e \)
29. a
30.
31. a
32. \( n \)
33. \( d \)
34.
35. \( i \)
36. \( t \)
37. \( s \)
38.
39. \( S \)
40. I
41.
42. \( u \)
43. \( n \)
44. \( i \)
45. \( t \)
46.
47. \( i \)
48. \( s \)
49.
50. \( N \)
51. /
52. \( m \)
53. \
54. (
55.
56. \( ^ \)
57. 2
58.
59. \
60. )
61.
62. (
63. \( p \)
64. a
65. \( s \)
66. \( c \)
67. a
68. \( l \)
69. )
70. .
(a) shape
(b) volume
(c) density
(d) mass
Show Answer & Explanation
Answer: (a) shape
Explanation:
1. A tangential (shearing) force slides layers over each other, changing the shape of the body without changing its volume.
Teacher's Note:
1. \( T \)
2. \( e \)
3. \( n \)
4. \( s \)
5. \( i \)
6. \( l \)
7. \( e \)
8.
9. a
10. \( n \)
11. \( d \)
12.
13. \( c \)
14. \( o \)
15. \( m \)
16. \( p \)
17. \( r \)
18. \( e \)
19. \( s \)
20. \( s \)
21. \( i \)
22. \( v \)
23. \( e \)
24.
25. \( s \)
26. \( t \)
27. \( r \)
28. \( e \)
29. \( s \)
30. \( s \)
31. \( e \)
32. \( s \)
33.
34. \( c \)
35. \( h \)
36. a
37. \( n \)
38. \( g \)
39. \( e \)
40.
41. \( l \)
42. \( e \)
43. \( n \)
44. \( g \)
45. \( t \)
46. \( h \)
47.
48. \( o \)
49. \( r \)
50.
51. \( v \)
52. \( o \)
53. \( l \)
54. \( u \)
55. \( m \)
56. \( e \)
57. ;
58.
59. \( s \)
60. \( h \)
61. \( e \)
62. a
63. \( r \)
64. \( i \)
65. \( n \)
66. \( g \)
67.
68. \( s \)
69. \( t \)
70. \( r \)
71. \( e \)
72. \( s \)
73. \( s \)
74.
75. \( c \)
76. \( h \)
77. a
78. \( n \)
79. \( g \)
80. \( e \)
81. \( s \)
82.
83. \( s \)
84. \( h \)
85. a
86. \( p \)
87. \( e \)
88. .
(a) yield
(b) elastic
(c) proportional
(d) breaking
Show Answer & Explanation
Answer: (a) yield
Explanation:
1. Beyond the yield point the wire shows a large increase in strain with almost no increase in stress, and the deformation is permanent.
Teacher's Note:
1. \( T \)
2. \( h \)
3. \( e \)
4.
5. \( y \)
6. \( i \)
7. \( e \)
8. \( l \)
9. \( d \)
10.
11. \( p \)
12. \( o \)
13. \( i \)
14. \( n \)
15. \( t \)
16.
17. \( m \)
18. a
19. \( r \)
20. \( k \)
21. \( s \)
22.
23. \( t \)
24. \( h \)
25. \( e \)
26.
27. \( s \)
28. \( t \)
29. a
30. \( r \)
31. \( t \)
32.
33. \( o \)
34. \( f \)
35.
36. \( p \)
37. \( l \)
38. a
39. \( s \)
40. \( t \)
41. \( i \)
42. \( c \)
43.
44. \( b \)
45. \( e \)
46. \( h \)
47. a
48. \( v \)
49. \( i \)
50. \( o \)
51. \( u \)
52. \( r \)
53. .
(a) modulus of elasticity
(b) Poisson's ratio
(c) compressibility
(d) elastic limit
Show Answer & Explanation
Answer: (a) modulus of elasticity
Explanation:
1. Within the elastic limit stress divided by strain is a constant of the material, the modulus of elasticity.
Teacher's Note:
1. \( Y \)
2. \( o \)
3. \( u \)
4. \( n \)
5. \( g \)
6. '
7. \( s \)
8. ,
9.
10. \( b \)
11. \( u \)
12. \( l \)
13. \( k \)
14.
15. a
16. \( n \)
17. \( d \)
18.
19. \( s \)
20. \( h \)
21. \( e \)
22. a
23. \( r \)
24.
25. \( m \)
26. \( o \)
27. \( d \)
28. \( u \)
29. \( l \)
30. \( i \)
31.
32. a
33. \( r \)
34. \( e \)
35.
36. a
37. \( l \)
38. \( l \)
39.
40. \( s \)
41. \( t \)
42. \( r \)
43. \( e \)
44. \( s \)
45. \( s \)
46. -
47. \( t \)
48. \( o \)
49. -
50. \( s \)
51. \( t \)
52. \( r \)
53. a
54. \( i \)
55. \( n \)
56.
57. \( r \)
58. a
59. \( t \)
60. \( i \)
61. \( o \)
62. \( s \)
63. .
(a) Young's modulus
(b) bulk modulus
(c) modulus of rigidity
(d) Poisson's ratio
Show Answer & Explanation
Answer: (a) Young's modulus
Explanation:
1. \( Y = \dfrac{\text{tensile stress}}{\text{longitudinal strain}} \).
Teacher's Note:
1. \( Y \)
2. \( o \)
3. \( u \)
4. \( n \)
5. \( g \)
6. '
7. \( s \)
8.
9. \( m \)
10. \( o \)
11. \( d \)
12. \( u \)
13. \( l \)
14. \( u \)
15. \( s \)
16.
17. a
18. \( p \)
19. \( p \)
20. \( l \)
21. \( i \)
22. \( e \)
23. \( s \)
24.
25. \( t \)
26. \( o \)
27.
28. \( s \)
29. \( o \)
30. \( l \)
31. \( i \)
32. \( d \)
33. \( s \)
34.
35. \( o \)
36. \( n \)
37. \( l \)
38. \( y \)
39. .
(a) bulk modulus
(b) Young's modulus
(c) modulus of rigidity
(d) Poisson's ratio
Show Answer & Explanation
Answer: (a) bulk modulus
Explanation:
1. Fluids cannot sustain shear or tensile stress, but they resist change in volume, so only the bulk modulus applies.
Teacher's Note:
1. \( L \)
2. \( i \)
3. \( q \)
4. \( u \)
5. \( i \)
6. \( d \)
7. \( s \)
8.
9. a
10. \( n \)
11. \( d \)
12.
13. \( g \)
14. a
15. \( s \)
16. \( e \)
17. \( s \)
18.
19. \( h \)
20. a
21. \( v \)
22. \( e \)
23.
24. \( b \)
25. \( u \)
26. \( l \)
27. \( k \)
28.
29. \( m \)
30. \( o \)
31. \( d \)
32. \( u \)
33. \( l \)
34. \( u \)
35. \( s \)
36.
37. \( b \)
38. \( u \)
39. \( t \)
40.
41. \( z \)
42. \( e \)
43. \( r \)
44. \( o \)
45.
46. \( r \)
47. \( i \)
48. \( g \)
49. \( i \)
50. \( d \)
51. \( i \)
52. \( t \)
53. \( y \)
54. .
(a) compressibility
(b) rigidity
(c) Poisson's ratio
(d) elasticity
Show Answer & Explanation
Answer: (a) compressibility
Explanation:
1. Compressibility is \( k = \dfrac{1}{B} \).
Teacher's Note:
1. A
2.
3. \( l \)
4. a
5. \( r \)
6. \( g \)
7. \( e \)
8.
9. \( b \)
10. \( u \)
11. \( l \)
12. \( k \)
13.
14. \( m \)
15. \( o \)
16. \( d \)
17. \( u \)
18. \( l \)
19. \( u \)
20. \( s \)
21.
22. \( m \)
23. \( e \)
24. a
25. \( n \)
26. \( s \)
27.
28. a
29.
30. \( s \)
31. \( m \)
32. a
33. \( l \)
34. \( l \)
35.
36. \( c \)
37. \( o \)
38. \( m \)
39. \( p \)
40. \( r \)
41. \( e \)
42. \( s \)
43. \( s \)
44. \( i \)
45. \( b \)
46. \( i \)
47. \( l \)
48. \( i \)
49. \( t \)
50. \( y \)
51. .
(a) Elastic fatigue is the loss of elastic behaviour under repeated alternating deforming forces
(b) The modulus of elasticity of steel is less than that of copper
(c) Rubber is more elastic than steel
(d) The Young's modulus and the shear modulus are relevant for fluids
Show Answer & Explanation
Answer: (a) Elastic fatigue is the loss of elastic behaviour under repeated alternating deforming forces
Explanation:
1. Repeated stress cycles weaken a material, which is called elastic fatigue.
2. Steel has a larger modulus than copper and is more elastic than rubber.
3. Fluids have only a bulk modulus.
Teacher's Note:
1. \( E \)
2. \( l \)
3. a
4. \( s \)
5. \( t \)
6. \( i \)
7. \( c \)
8. \( i \)
9. \( t \)
10. \( y \)
11.
12. \( i \)
13. \( s \)
14.
15. \( m \)
16. \( e \)
17. a
18. \( s \)
19. \( u \)
20. \( r \)
21. \( e \)
22. \( d \)
23.
24. \( b \)
25. \( y \)
26.
27. \( t \)
28. \( h \)
29. \( e \)
30.
31. \( m \)
32. \( o \)
33. \( d \)
34. \( u \)
35. \( l \)
36. \( u \)
37. \( s \)
38. ,
39.
40. \( n \)
41. \( o \)
42. \( t \)
43.
44. \( b \)
45. \( y \)
46.
47. \( t \)
48. \( h \)
49. \( e \)
50.
51. a
52. \( m \)
53. \( o \)
54. \( u \)
55. \( n \)
56. \( t \)
57.
58. \( o \)
59. \( f \)
60.
61. \( s \)
62. \( t \)
63. \( r \)
64. \( e \)
65. \( t \)
66. \( c \)
67. \( h \)
68. .
(a) The bulk modulus is relevant for solids, liquids and gases
(b) A hollow shaft is weaker than a solid rod of the same length and mass
(c) A long rod is harder to twist than a short rod of the same material and radius
(d) The shear modulus is relevant for gases
Show Answer & Explanation
Answer: (a) The bulk modulus is relevant for solids, liquids and gases
Explanation:
1. Every state of matter resists a change of volume, so bulk modulus applies to all.
2. A hollow shaft has a larger radius for the same mass and is stronger.
3. Twisting a long rod is easier as the angle of twist grows with length.
4. Gases have zero shear modulus.
Teacher's Note:
1. \( T \)
2. \( o \)
3. \( r \)
4. \( q \)
5. \( u \)
6. \( e \)
7.
8. \( f \)
9. \( o \)
10. \( r \)
11.
12. a
13.
14. \( g \)
15. \( i \)
16. \( v \)
17. \( e \)
18. \( n \)
19.
20. \( t \)
21. \( w \)
22. \( i \)
23. \( s \)
24. \( t \)
25.
26. \( g \)
27. \( r \)
28. \( o \)
29. \( w \)
30. \( s \)
31.
32. a
33. \( s \)
34.
35. \( t \)
36. \( h \)
37. \( e \)
38.
39. \( f \)
40. \( o \)
41. \( u \)
42. \( r \)
43. \( t \)
44. \( h \)
45.
46. \( p \)
47. \( o \)
48. \( w \)
49. \( e \)
50. \( r \)
51.
52. \( o \)
53. \( f \)
54.
55. \( t \)
56. \( h \)
57. \( e \)
58.
59. \( r \)
60. a
61. \( d \)
62. \( i \)
63. \( u \)
64. \( s \)
65.
66. a
67. \( n \)
68. \( d \)
69.
70. \( f \)
71. a
72. \( l \)
73. \( l \)
74. \( s \)
75.
76. \( w \)
77. \( i \)
78. \( t \)
79. \( h \)
80.
81. \( l \)
82. \( e \)
83. \( n \)
84. \( g \)
85. \( t \)
86. \( h \)
87. .
(a) becomes half
(b) becomes double
(c) remains the same
(d) becomes one-fourth
Show Answer & Explanation
Answer: (c) remains the same
Explanation:
1. Young's modulus is a property of the material and does not depend on the dimensions of the wire.
Teacher's Note:
1. \( D \)
2. \( i \)
3. \( m \)
4. \( e \)
5. \( n \)
6. \( s \)
7. \( i \)
8. \( o \)
9. \( n \)
10. \( s \)
11.
12. \( c \)
13. \( h \)
14. a
15. \( n \)
16. \( g \)
17. \( e \)
18.
19. \( t \)
20. \( h \)
21. \( e \)
22.
23. \( e \)
24. \( x \)
25. \( t \)
26. \( e \)
27. \( n \)
28. \( s \)
29. \( i \)
30. \( o \)
31. \( n \)
32.
33. \( b \)
34. \( u \)
35. \( t \)
36.
37. \( n \)
38. \( o \)
39. \( t \)
40.
41. \( t \)
42. \( h \)
43. \( e \)
44.
45. \( m \)
46. \( o \)
47. \( d \)
48. \( u \)
49. \( l \)
50. \( u \)
51. \( s \)
52. .
(a) zero
(b) unity
(c) infinity
(d) non-zero but finite
Show Answer & Explanation
Answer: (a) zero
Explanation:
1. Liquids have no definite shape and cannot sustain shear stress, so the modulus of rigidity is zero.
Teacher's Note:
1. \( Z \)
2. \( e \)
3. \( r \)
4. \( o \)
5.
6. \( r \)
7. \( i \)
8. \( g \)
9. \( i \)
10. \( d \)
11. \( i \)
12. \( t \)
13. \( y \)
14.
15. \( i \)
16. \( s \)
17.
18. \( w \)
19. \( h \)
20. \( y \)
21.
22. \( l \)
23. \( i \)
24. \( q \)
25. \( u \)
26. \( i \)
27. \( d \)
28. \( s \)
29.
30. \( f \)
31. \( l \)
32. \( o \)
33. \( w \)
34. .
(a) Young's modulus
(b) bulk modulus
(c) shear modulus
(d) all of these
Show Answer & Explanation
Answer: (b) bulk modulus
Explanation:
1. Gases resist volume change, so they have a bulk modulus, but they have no Young's or shear modulus.
Teacher's Note:
1. \( O \)
2. \( n \)
3. \( l \)
4. \( y \)
5.
6. \( t \)
7. \( h \)
8. \( e \)
9.
10. \( b \)
11. \( u \)
12. \( l \)
13. \( k \)
14.
15. \( m \)
16. \( o \)
17. \( d \)
18. \( u \)
19. \( l \)
20. \( u \)
21. \( s \)
22.
23. \( i \)
24. \( s \)
25.
26. \( c \)
27. \( o \)
28. \( m \)
29. \( m \)
30. \( o \)
31. \( n \)
32.
33. \( t \)
34. \( o \)
35.
36. a
37. \( l \)
38. \( l \)
39.
40. \( t \)
41. \( h \)
42. \( r \)
43. \( e \)
44. \( e \)
45.
46. \( s \)
47. \( t \)
48. a
49. \( t \)
50. \( e \)
51. \( s \)
52.
53. \( o \)
54. \( f \)
55.
56. \( m \)
57. a
58. \( t \)
59. \( t \)
60. \( e \)
61. \( r \)
62. .
(a) become twice
(b) become half
(c) remain the same
(d) become four times
Show Answer & Explanation
Answer: (d) become four times
Explanation:
1. \( U = \dfrac{1}{2}T\,\Delta l \) and \( \Delta l \propto T \), so \( U \propto T^2 \).
2. Doubling the tension makes \( U \) four times as large.
Teacher's Note:
1. \( E \)
2. \( n \)
3. \( e \)
4. \( r \)
5. \( g \)
6. \( y \)
7.
8. \( s \)
9. \( t \)
10. \( o \)
11. \( r \)
12. \( e \)
13. \( d \)
14.
15. \( d \)
16. \( e \)
17. \( p \)
18. \( e \)
19. \( n \)
20. \( d \)
21. \( s \)
22.
23. \( o \)
24. \( n \)
25.
26. \( t \)
27. \( h \)
28. \( e \)
29.
30. \( s \)
31. \( q \)
32. \( u \)
33. a
34. \( r \)
35. \( e \)
36.
37. \( o \)
38. \( f \)
39.
40. \( t \)
41. \( h \)
42. \( e \)
43.
44. \( f \)
45. \( o \)
46. \( r \)
47. \( c \)
48. \( e \)
49. .
(a) are not elastic at all
(b) have a very small elastic range
(c) do not obey Hooke's law
(d) none of these
Show Answer & Explanation
Answer: (c) do not obey Hooke's law
Explanation:
1. Elastomers such as rubber can be stretched to large strains, and their stress-strain curve is not a straight line, so they do not obey Hooke's law.
Teacher's Note:
1. \( R \)
2. \( u \)
3. \( b \)
4. \( b \)
5. \( e \)
6. \( r \)
7.
8. \( i \)
9. \( s \)
10.
11. a
12. \( n \)
13.
14. \( e \)
15. \( l \)
16. a
17. \( s \)
18. \( t \)
19. \( o \)
20. \( m \)
21. \( e \)
22. \( r \)
23. .
(a) zero
(b) unity
(c) infinity
(d) non-zero but unity
Show Answer & Explanation
Answer: (c) infinity
Explanation:
1. \( \eta = \dfrac{F}{A\theta} \). \( A \) perfectly rigid body cannot be sheared, so \( \theta = 0 \) and \( \eta \) is infinite.
Teacher's Note:
1. A
2.
3. \( p \)
4. \( e \)
5. \( r \)
6. \( f \)
7. \( e \)
8. \( c \)
9. \( t \)
10. \( l \)
11. \( y \)
12.
13. \( r \)
14. \( i \)
15. \( g \)
16. \( i \)
17. \( d \)
18.
19. \( b \)
20. \( o \)
21. \( d \)
22. \( y \)
23.
24. \( i \)
25. \( s \)
26.
27. a
28. \( n \)
29.
30. \( i \)
31. \( d \)
32. \( e \)
33. a
34. \( l \)
35. \( i \)
36. \( s \)
37. a
38. \( t \)
39. \( i \)
40. \( o \)
41. \( n \)
42.
43. \( w \)
44. \( i \)
45. \( t \)
46. \( h \)
47.
48. \( i \)
49. \( n \)
50. \( f \)
51. \( i \)
52. \( n \)
53. \( i \)
54. \( t \)
55. \( e \)
56.
57. \( m \)
58. \( o \)
59. \( d \)
60. \( u \)
61. \( l \)
62. \( i \)
63. .
(a) A
(b) B
(c) C
(d) D
Show Answer & Explanation
Answer: (c) C
Explanation:
1. \( U = \dfrac{F^2l}{2AY} \propto \dfrac{l}{d^2} \).
2. A: \( 1, B \): \( 2/4 = 0.5, C \): \( 2, D \): \( 1/4 = 0.25 \). The largest is \( C \).
Teacher's Note:
1. \( F \)
2. \( o \)
3. \( r \)
4.
5. \( t \)
6. \( h \)
7. \( e \)
8.
9. \( s \)
10. a
11. \( m \)
12. \( e \)
13.
14. \( f \)
15. \( o \)
16. \( r \)
17. \( c \)
18. \( e \)
19. ,
20.
21. a
22.
23. \( l \)
24. \( o \)
25. \( n \)
26. \( g \)
27. \( e \)
28. \( r \)
29.
30. a
31. \( n \)
32. \( d \)
33.
34. \( t \)
35. \( h \)
36. \( i \)
37. \( n \)
38. \( n \)
39. \( e \)
40. \( r \)
41.
42. \( w \)
43. \( i \)
44. \( r \)
45. \( e \)
46.
47. \( s \)
48. \( t \)
49. \( o \)
50. \( r \)
51. \( e \)
52. \( s \)
53.
54. \( m \)
55. \( o \)
56. \( r \)
57. \( e \)
58.
59. \( e \)
60. \( n \)
61. \( e \)
62. \( r \)
63. \( g \)
64. \( y \)
65. .
(a) Tensile stress
(b) Compressive stress
(c) Tangential stress
(d) All of these
Show Answer & Explanation
Answer: (c) Tangential stress
Explanation:
1. Tangential (shearing) stress changes the shape of a body without changing its volume.
Teacher's Note:
1. \( N \)
2. \( o \)
3. \( r \)
4. \( m \)
5. a
6. \( l \)
7.
8. \( s \)
9. \( t \)
10. \( r \)
11. \( e \)
12. \( s \)
13. \( s \)
14. \( e \)
15. \( s \)
16.
17. \( c \)
18. \( h \)
19. a
20. \( n \)
21. \( g \)
22. \( e \)
23.
24. \( l \)
25. \( e \)
26. \( n \)
27. \( g \)
28. \( t \)
29. \( h \)
30.
31. \( o \)
32. \( r \)
33.
34. \( v \)
35. \( o \)
36. \( l \)
37. \( u \)
38. \( m \)
39. \( e \)
40. ;
41.
42. \( s \)
43. \( h \)
44. \( e \)
45. a
46. \( r \)
47.
48. \( c \)
49. \( h \)
50. a
51. \( n \)
52. \( g \)
53. \( e \)
54. \( s \)
55.
56. \( s \)
57. \( h \)
58. a
59. \( p \)
60. \( e \)
61. .
(a) longitudinal strain to lateral strain
(b) lateral strain to longitudinal strain
(c) longitudinal strain to volumetric strain
(d) volumetric strain to longitudinal strain
Show Answer & Explanation
Answer: (b) lateral strain to longitudinal strain
Explanation:
1. Poisson's ratio \( \sigma = \dfrac{\text{lateral strain}}{\text{longitudinal strain}} \).
Teacher's Note:
1. I
2. \( t \)
3.
4. \( i \)
5. \( s \)
6.
7. a
8.
9. \( p \)
10. \( u \)
11. \( r \)
12. \( e \)
13.
14. \( n \)
15. \( u \)
16. \( m \)
17. \( b \)
18. \( e \)
19. \( r \)
20.
21. \( w \)
22. \( i \)
23. \( t \)
24. \( h \)
25.
26. \( n \)
27. \( o \)
28.
29. \( u \)
30. \( n \)
31. \( i \)
32. \( t \)
33. .
(a) a perfectly elastic body only
(b) a perfectly plastic body only
(c) a body that is elastic below its yield point and plastic beyond it
(d) a body that is neither elastic nor plastic
Show Answer & Explanation
Answer: (c) a body that is elastic below its yield point and plastic beyond it
Explanation:
1. For small stress steel returns to its original shape (elastic).
2. Beyond the yield point it deforms permanently (plastic).
Teacher's Note:
1. \( R \)
2. \( e \)
3. a
4. \( l \)
5.
6. \( m \)
7. a
8. \( t \)
9. \( e \)
10. \( r \)
11. \( i \)
12. a
13. \( l \)
14. \( s \)
15.
16. \( s \)
17. \( h \)
18. \( o \)
19. \( w \)
20.
21. \( b \)
22. \( o \)
23. \( t \)
24. \( h \)
25.
26. \( b \)
27. \( e \)
28. \( h \)
29. a
30. \( v \)
31. \( i \)
32. \( o \)
33. \( u \)
34. \( r \)
35. \( s \)
36.
37. \( d \)
38. \( e \)
39. \( p \)
40. \( e \)
41. \( n \)
42. \( d \)
43. \( i \)
44. \( n \)
45. \( g \)
46.
47. \( o \)
48. \( n \)
49.
50. \( t \)
51. \( h \)
52. \( e \)
53.
54. \( s \)
55. \( t \)
56. \( r \)
57. \( e \)
58. \( s \)
59. \( s \)
60. .
(a) Hammering and annealing
(b) Change in temperature
(c) Impurity
(d) All of these
Show Answer & Explanation
Answer: (d) All of these
Explanation:
1. Hammering, annealing, temperature change and impurities all alter the modulus of elasticity.
Teacher's Note:
1. \( T \)
2. \( e \)
3. \( m \)
4. \( p \)
5. \( e \)
6. \( r \)
7. a
8. \( t \)
9. \( u \)
10. \( r \)
11. \( e \)
12.
13. \( g \)
14. \( e \)
15. \( n \)
16. \( e \)
17. \( r \)
18. a
19. \( l \)
20. \( l \)
21. \( y \)
22.
23. \( l \)
24. \( o \)
25. \( w \)
26. \( e \)
27. \( r \)
28. \( s \)
29.
30. \( t \)
31. \( h \)
32. \( e \)
33.
34. \( m \)
35. \( o \)
36. \( d \)
37. \( u \)
38. \( l \)
39. \( u \)
40. \( s \)
41. .
(a) Rubber
(b) Lead
(c) Wood
(d) Steel
Show Answer & Explanation
Answer: (d) Steel
Explanation:
1. Elasticity is measured by the modulus of elasticity. Steel has the highest Young's modulus (about \( 2\times10^{11} N/m ^2 \)) among these.
Teacher's Note:
1. A
2.
3. \( s \)
4. \( t \)
5. \( i \)
6. \( f \)
7. \( f \)
8. \( e \)
9. \( r \)
10.
11. \( m \)
12. a
13. \( t \)
14. \( e \)
15. \( r \)
16. \( i \)
17. a
18. \( l \)
19.
20. \( i \)
21. \( s \)
22.
23. \( m \)
24. \( o \)
25. \( r \)
26. \( e \)
27.
28. \( e \)
29. \( l \)
30. a
31. \( s \)
32. \( t \)
33. \( i \)
34. \( c \)
35. :
36.
37. \( i \)
38. \( t \)
39.
40. \( d \)
41. \( e \)
42. \( f \)
43. \( o \)
44. \( r \)
45. \( m \)
46. \( s \)
47.
48. \( l \)
49. \( e \)
50. \( s \)
51. \( s \)
52.
53. \( u \)
54. \( n \)
55. \( d \)
56. \( e \)
57. \( r \)
58.
59. a
60.
61. \( g \)
62. \( i \)
63. \( v \)
64. \( e \)
65. \( n \)
66.
67. \( s \)
68. \( t \)
69. \( r \)
70. \( e \)
71. \( s \)
72. \( s \)
73. .
(a) ductile
(b) an elastomer
(c) brittle
(d) none of these
Show Answer & Explanation
Answer: (a) ductile
Explanation:
1. A ductile material shows a large plastic range between the elastic limit and fracture. \( A \) brittle material breaks soon after the elastic limit.
Teacher's Note:
1. \( C \)
2. \( o \)
3. \( p \)
4. \( p \)
5. \( e \)
6. \( r \)
7.
8. a
9. \( n \)
10. \( d \)
11.
12. \( g \)
13. \( o \)
14. \( l \)
15. \( d \)
16.
17. a
18. \( r \)
19. \( e \)
20.
21. \( d \)
22. \( u \)
23. \( c \)
24. \( t \)
25. \( i \)
26. \( l \)
27. \( e \)
28. .
(a) \( \dfrac{\text{N}}{\text{m}^2} \)
(b) \( \dfrac{\text{N}}{\text{cm}^2} \)
(c) \( \dfrac{\text{dyne}}{\text{m}^2} \)
(d) \( \dfrac{\text{dyne}}{\text{cm}^2} \)
Show Answer & Explanation
Answer: (a) \( \dfrac{\text{N}}{\text{m}^2} \)
Explanation:
1. Stress is force per unit area, so its SI unit is \( N/m ^2 \) (pascal). The other units are not SI.
Teacher's Note:
1. \( D \)
2. \( y \)
3. \( n \)
4. \( e \)
5.
6. \( p \)
7. \( e \)
8. \( r \)
9.
10. \( s \)
11. \( q \)
12. \( u \)
13. a
14. \( r \)
15. \( e \)
16.
17. \( c \)
18. \( e \)
19. \( n \)
20. \( t \)
21. \( i \)
22. \( m \)
23. \( e \)
24. \( t \)
25. \( r \)
26. \( e \)
27.
28. \( i \)
29. \( s \)
30.
31. \( t \)
32. \( h \)
33. \( e \)
34.
35. \( C \)
36. \( G \)
37. \( S \)
38.
39. \( u \)
40. \( n \)
41. \( i \)
42. \( t \)
43. .
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Mechanical Properties Of Solids Objective Questions & Solutions for JEE Physics
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