Assertion: Stress is the restoring force per unit area of a body.
Reason: Rubber is more elastic than steel.
1. Both assertion and reason are true and the reason is the correct explanation of the assertion.
2. Both assertion and reason are true but the reason is not the correct explanation of the assertion.
3. Assertion is true but reason is false.
4. Both assertion and reason are false.
 
Subtopic:  Young's modulus |
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Assertion: On elastic bodies, though we apply force and experience elongation, it is a general practice to plot stress versus strain instead of force versus elongation.
Reason: Stress versus strain plotting makes the graph independent of the geometry of the sample body and reflects only the material property.
1. Both assertion and reason are true and the reason is the correct explanation of the assertion.
2. Both assertion and reason are true but the reason is not the correct explanation of the assertion.
3. Assertion is true but reason is false.
4. Both assertion and reason are false.
 
Subtopic:  Stress - Strain Curve |
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Assertion: Elastomers are used as vibration dampers.
Reason: Elastomers show elastic hysteresis.
1. Both assertion and reason are true and the reason is the correct explanation of the assertion.
2. Both assertion and reason are true but the reason is not the correct explanation of the assertion.
3. Assertion is true but reason is false.
4. Both assertion and reason are false.
 
Subtopic:  Elasticity |
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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:  Hooke's Law |
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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 |
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Assertion: Soft steel can be made red hot by continued hammering on it, but hard steel cannot.
Reason: Energy transfer in case of soft is large as in hard steel.
1. Both the assertion and reason are true and reason explains the assertion.
2. Both the assertion and reason are true but reason does not explain the assertion.
3. Assertion is true but reason is false.
4. Assertion is false but reason is true.
 
Subtopic:  Potential energy of wire |
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Assertion: Bulk modulus of elasticity B represents the incompressibility of the material.
Reason: \( B=-\frac{\Delta p}{\Delta V / V} \), where symbols have their usual meaning.
1. Both the assertion and reason are true and reason explains the assertion.
2. Both the assertion and reason are true but reason does not explain the assertion.
3. Assertion is true but reason is false.
4. Assertion is false but reason is true.

 
Subtopic:  Shear and bulk modulus |
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Assertion: Young's modulus for a perfectly plastic body is zero.
Reason: For a perfectly plastic body, restoring force is zero.
1. Both assertion and reason are true and the reason is the correct explanation of the assertion.
2. Both assertion and reason are true but the reason is not the correct explanation of the assertion.
3. Assertion is true but reason is false.
4. Both assertion and reason are false.


 
Subtopic:  Young's modulus |
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Assertion: The bridges are declared unsafe after long use.
Reason: The bridges lose their elastic strength with time.
1. Both assertion and reason are true and the reason is the correct explanation of assertion.
2. Both assertion and reason are true but the reason is not the correct explanation of assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.
Subtopic:  Elasticity |
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Assertion: Identical springs of steel and copper are equally stretched. More work will be done on the steel spring.
Reason: Steel is more elastic than copper.
1. Both assertion and reason are true and the reason is the correct explanation of assertion.
2. Both assertion and reason are true but the reason is not the correct explanation of assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.
Subtopic:  Potential energy of wire |
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