Given below are two statements:
Assertion(A): Stress is the restoring force per unit area of a body.
Reason(R): Rubber is more elastic than steel.
 
1. Both (A) and (R) are true and (R) is the correct explanation of (A).
2. Both (A) and (R) are true but (R) is not the correct explanation of (A).
3. (A) is true but (R) is false.
4. Both (A) and (R) are false.
Subtopic:  Young's modulus |
 80%
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Given below are two statements: 
Assertion (A): On elastic bodies, though we apply force and experience elongation, it is a general practice to plot stress versus strain instead of plotting force versus elongation graph.
Reason (R): Stress versus strain plotting makes the graph independent of the geometry of the sample body and reflects only the material property.
 
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. Both (A) and (R) are False.
Subtopic:  Stress - Strain Curve |
 83%
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Given below are two statements: 
Assertion (A): Elastomers are used as vibration dampers.
Reason (R): Elastomers show elastic hysteresis.
 
1. Both (A) and (R) are true and (R) is the correct explanation of (A).
2. Both (A) and (R) are true but (R) is not the correct explanation of (A).
3. (A) is true but (R) is false.
4. Both (A) and (R) are false.

 
Subtopic:  Elasticity |
 77%
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The stress-strain graphs for the two materials are shown in the figure. (assumed same scale)

    

(a) Material (ii) is more elastic than material (i) and hence material (ii) is more brittle
(b) Material (i) and (ii) have the same elasticity and the same brittleness
(c) Material (ii) is elastic over a larger region of strain as compared to (i)
(d) Material (ii) is more brittle than material (i)


The correct statements are:

1. (a, c)
2. (c, d)
3. (b, c)
4. (b, d)

Subtopic:  Stress - Strain Curve |
 71%
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A wire is suspended from the ceiling and stretched under the action of a weight \(F\) suspended from its other end. The force exerted by the ceiling on it is equal and opposite to the weight.

(a) Tensile stress at any cross-section \(A\) of the wire is \(F/A.\)
(b) Tensile stress at any cross-section is zero.
(c) Tensile stress at any cross-section \(A\) of the wire is \(2F/A.\)
(d) Tension at any cross-section \(A\) of the wire is \(F.\)

The correct statements are:
1. (a), (b)
2. (a), (d)
3. (b), (c)
4. (a), (c)

Subtopic:  Stress - Strain |
 80%
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Given below are two statements: 
Assertion (A): Soft steel can be made red hot by continued hammering on it, but hard steel cannot.
Reason (R): Energy transfer in the case of soft is large as in hard steel.
 
1. Both (A) and (R) are true and (R) is the correct explanation of (A).
2. Both (A) and (R) are true but (R) is not the correct explanation of (A).
3. (A) is true but (R) is false.
4. (A) is false but (R) is true.


 
Subtopic:  Potential energy of wire |
 80%
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Given below are two statements: 
Assertion (A): Bulk modulus of elasticity \(B\) represents the incompressibility of the material.
Reason (R): \( B=-\frac{\Delta p}{\Delta V / V} \), where symbols have their usual meaning.
 
1. Both (A) and (R) are true and (R) is the correct explanation of (A).
2. Both (A) and (R) are true but (R) is not the correct explanation of (A).
3. (A) is true but (R) is false.
4. (A) is false but (R) is true.
 
Subtopic:  Shear and bulk modulus |
 51%
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Given below are two statements: 
Assertion (A): Young's modulus for a perfectly plastic body is zero.
Reason (R): For a perfectly plastic body, restoring force is zero.
  
1. Both (A) and (R) are true and (R) is the correct explanation of (A).
2. Both (A) and (R) are true but (R) is not the correct explanation of (A).
3. (A) is true but (R) is false.
4. Both (A) and (R) are false.

 
Subtopic:  Young's modulus |
 82%
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Given below are two statements: 
Assertion (A): The bridges are declared unsafe after long use.
Reason (R): The bridges lose their elastic strength with time.
 
1. Both (A) and (R) are true and (R) is the correct explanation of (A).
2. Both (A) and (R) are true but (R) is not the correct explanation of (A).
3. (A) is true but (R) is false.
4. Both (A) and (R) are false.

 
Subtopic:  Elasticity |
 93%
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Given below are two statements: 
Assertion (A): Identical springs of steel and copper are equally stretched. More work will be done on the steel spring.
Reason (R): Steel is more elastic than copper.
 
1. Both (A) and (R) are true and (R) is the correct explanation of (A).
2. Both (A) and (R) are true but (R) is not the correct explanation of (A).
3. (A) is true but (R) is false.
4. Both (A) and (R) are false.

 
Subtopic:  Potential energy of wire |
 87%
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