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Q. No.The breaking stress of a wire depends on:
1.
material of the wire
2.
length of the wire
3.
radius of the wire
4.
shape of the cross-section
Subtopic: Stress - Strain |
81%
From NCERT
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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 |
58%
From NCERT
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A wire of natural length \(L\) and cross-sectional area \(A\) is made of a material of Young’s modulus \(Y.\) If the wire is stretched by an amount \(x,\) the energy stored in the wire is:
| 1. | \( \dfrac{Y A x^{2}}{L}\) | 2. | \( \dfrac{Y A x^{2}}{2 L}\) |
| 3. | \(\dfrac{2 Y A x^{2}}{L}\) | 4. | \(\dfrac{Y A x^{2}}{L^{2}}\) |
Subtopic: Potential energy of wire |
89%
From NCERT
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The work done in stretching a uniform metal wire of cross-section \(10^{-6}~\text{m}^2\) and length \(2~\text m\) through \(2~\text{mm}\) is:
(the Young’s modulus for the wire is \(3\times 10^{11}~\text{N/m}^2\) )
1. \(0.3~\text J\)
2. \(0.6~\text J\)
3. \(1.2~\text J\)
4. zero
(the Young’s modulus for the wire is \(3\times 10^{11}~\text{N/m}^2\) )
1. \(0.3~\text J\)
2. \(0.6~\text J\)
3. \(1.2~\text J\)
4. zero
Subtopic: Potential energy of wire |
67%
From NCERT
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Given below are two statements:
| Assertion (A): | The stretching of a spring is determined by the shear modulus of the material of the spring. |
| Reason (R): | A coil spring of copper has more tensile strength than a steel spring of the same dimensions. |
| 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 False but (R) is True. |
| 4. | (A) is True but (R) is False. |
Subtopic: Shear and bulk modulus |
From NCERT
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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 |
92%
From NCERT
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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%
From NCERT
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A wire of length \(L\) and radius \(r \) is clamped rigidly at one end. When the other end of the wire is pulled by a force \(F,\) its length increases by \(5~\text{cm}. \) Another wire of the same material of length \(4L\) and radius \(4r \) is pulled by a force \(4F \) under the same conditions. The increase in length of this wire is:
1. \(3~\text{cm}\)
2. \(5~\text{cm}\)
3. \(10~\text{cm}\)
4. \(6~\text{cm}\)
1. \(3~\text{cm}\)
2. \(5~\text{cm}\)
3. \(10~\text{cm}\)
4. \(6~\text{cm}\)
Subtopic: Young's modulus |
91%
From NCERT
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The area of cross-section of the rope used to lift a load by a crane is \(2.5\times10^{-4}~\text{m}^2.\) The maximum lifting capacity of the crane is \(10~\text{metric tons}.\) To increase the lifting capacity of the crane to \(25~\text{metric tons},\) the required area of the cross-section of the rope should be: (Take \(g=10~\text{ms}^{-2}\) )
1. \(6.25\times10^{-4}~\text{m}^2\)
2. \(10\times10^{-4}~\text{m}^2\)
3. \(1\times10^{-4}~\text{m}^2\)
4. \(1.67\times10^{-4}~\text{m}^2\)
1. \(6.25\times10^{-4}~\text{m}^2\)
2. \(10\times10^{-4}~\text{m}^2\)
3. \(1\times10^{-4}~\text{m}^2\)
4. \(1.67\times10^{-4}~\text{m}^2\)
Subtopic: Stress - Strain |
79%
From NCERT
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A square aluminium (shear modulus is \(25\times10^{9}~\text{Nm}^{-2}\)) slab of side \(60~\text{cm}\) and thickness of \(15~\text{cm}\) is subjected to a shearing force (on its narrow face) of \(18.0\times10^{4}~\text {N}.\) The lower edge is riveted to the floor. The displacement of the upper edge is:
1. \(30~\mu \text m\)
2. \(48~\mu \text m\)
3. \(16~\mu \text m\)
4. \(64~\mu \text m\)
1. \(30~\mu \text m\)
2. \(48~\mu \text m\)
3. \(16~\mu \text m\)
4. \(64~\mu \text m\)
Subtopic: Shear and bulk modulus |
59%
From NCERT
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