Hooke's law is applicable for:

1. elastic materials only 2. plastic materials only
3. elastomers only 4. all of these

Subtopic:  Hooke's Law |
 72%
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If two different types of rubber are found to have stress-strain curves as shown, then:
                   

1. A is suitable for shock absorbers.
2. B is suitable for shock absorbers.
3. B is suitable for car tires.
4. None of these

Subtopic:  Stress - Strain Curve |
 78%
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The stress-strain graphs for two materials \(A\) and \(B\) are shown in the figure. The graphs are drawn to the same scale. Select the correct statement:


1. material \(A\) has a greater Young's Modulus.
2. material \(A\) is ductile. 
3. material \(B\) is brittle.
4. all of these.

Subtopic:  Stress - Strain Curve |
 86%
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On withdrawing the external applied force on bodies within the elastic limit, the body:

1. regains its previous state very quickly
2. regains its previous state after some time
3. regains its previous state after a very long time
4. does not regain its previous state

Subtopic:  Stress - Strain Curve |
 69%
From NCERT
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The modulus of rigidity of the ideal liquid is:
1. infinity
2. zero
3. unity
4. some finite small non-zero constant value
Subtopic:  Shear and bulk modulus |
 68%
From NCERT
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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 \(F.\)

 
Choose the correct option from the given ones:
1. (a) and (b) only
2. (a) and (d) only
3. (b) and (c) only
4. (a) and (c) only

Subtopic:  Stress - Strain |
 80%
From NCERT
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The volume contraction of a solid copper cube, \(10~\text{cm}\) on an edge, when subjected to a hydraulic pressure of \(7.0\times10^6~\text{Pa}\) is:
(Bulk modulus of copper is \(140 \times10^{9}~\text{Pa}.\))
1. \( 3.1 \times 10^{-2} ~\text{m}^3 \)
2. \(9.1 \times 10^{-3} ~\text{cm}^3 \)
3. \(5.0 \times 10^{-2} ~\text{cm}^3 \)
4. \(7.9 \times 10^{-2} ~\text{cm}^3 \)

Subtopic:  Shear and bulk modulus |
 84%
From NCERT
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A steel cable with a radius of \(1.5~\text{cm}\) supports a chairlift at a ski area. If the maximum stress is not to exceed \(10^{8}~\text{N/m}^2,\) what is the maximum load that the cable can support?
1. \(7.06\times 10^{4}~\text{N}\)
2. \(5.03\times 10^{4}~\text{N}\)
3. \(1.09\times 10^{4}~\text{N}\)
4. \(17\times 10^{4}~\text{N}\)

Subtopic:  Stress - Strain |
 78%
From NCERT
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The edge of an aluminum cube is \(10~\text{cm}\) long. One face of the cube is firmly fixed to a vertical wall. A mass of \(100~\text{kg}\)  is then attached to the opposite face of the cube. The shear modulus of aluminum is \(25~\text{GPa}.\) What is the vertical deflection of this face?
1. \(4.86\times 10^{-6}~\text{m}\)
2. \(3.92\times 10^{-7}~\text{m}\)
3. \(3.01\times 10^{-7}~\text{m}\)
4. \(6.36\times 10^{-7}~\text{m}\)

Subtopic:  Shear and bulk modulus |
 68%
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The stress-strain graphs for materials \(A\) and \(B\) are shown in the figure. Young’s modulus of material \(A\) is:
(the graphs are drawn to the same scale)

                       

1. equal to material \(B\)
2. less than material \(B\)
3. greater than material \(B\)
4. can't say
Subtopic:  Stress - Strain Curve |
 79%
From NCERT
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