A student plots a graph from his readings on the determination of Young modulus of a metal wire but forgets to put the labels (figure). The quantities on X and Y-axes may be respectively,

               

(a) weight hung and length increased
(b) stress applied and length increased
(c) stress applied and strain developed
(d) length increased and the weight hung


Choose the correct option:

1. (a) and (b)
2. (b) and (c)
3. (a), (b) and (d)
4. all of these

Subtopic:  Young's modulus |
 57%
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A large cylindrical piece of a dense solid elastic metal stands on its end as shown in the figure. The metal is uniform and isotropic. The stress in the material as a function of height is shown correctly by:
   
1.   2.
3.  4. 
Subtopic:  Stress - Strain Curve |
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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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Given below are two statements: 
Assertion (A): Lead is more elastic than rubber.
Reason (R): If the same load is attached to lead and rubber wires of the same cross-sectional area, the strain of lead is very much less than that of rubber.
 
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 |
 76%
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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%
From NCERT
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