JEE Physics Mechanical Properties Of Solids MCQs Set 16

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Multiple Choice Questions

Question 1: The restoring force per unit area developed inside a deformed body is known as
(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. .

Question 2: A shearing stress changes the ______ of a body.
(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. .

Question 3: If the load on a wire is increased beyond the ______ point, the strain increases rapidly for even a small change in stress.
(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. .

Question 4: The ratio of stress to strain is called
(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. .

Question 5: The ratio of tensile stress to longitudinal strain is defined as
(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. .

Question 6: The only elastic modulus that applies to fluids is
(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. .

Question 7: The reciprocal of the bulk modulus is called
(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. .

Question 8: Which of the following statements is correct?
(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. .

Question 9: Which of the following statements is correct?
(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. .

Question 10: A steel wire is stretched to double its length. Its Young's modulus
(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. .

Question 11: The modulus of rigidity of liquids is
(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. .

Question 12: Gases possess
(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. .

Question 13: If the tension in a wire is doubled, the elastic potential energy stored in the wire will
(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. .

Question 14: Elastomers are materials which
(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. .

Question 15: The shear modulus of a perfectly rigid body is
(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. .

Question 16: Consider four steel wires of dimensions given below (d = diameter, l = length): (A) l = 1 m, d = 1 mm; (B) l = 2 m, d = 2 mm; (C) l = 2 m, d = 1 mm; (D) l = 1 m, d = 2 mm. If the same force is applied to all the wires, the elastic potential energy stored will be maximum in wire
(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. .

Question 17: Which of the following is responsible for a change in shape?
(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. .

Question 18: Poisson's ratio is the ratio of
(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. .

Question 19: Steel behaves as
(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. .

Question 20: Which of the following affects the elasticity of a substance?
(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. .

Question 21: Which of the following materials is most elastic?
(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. .

Question 22: If a large deformation takes place between the elastic limit and the fracture point, the material is
(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. .

Question 23: The SI unit of shear stress is
(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. .

Mechanical Properties Of Solids Objective Questions & Solutions for JEE Physics

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