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Q. No.The elastic behaviour of a material for linear stress and linear strain is captured in the graph below. The energy density, for a linear strain of \(5 \times 10^{-4} \) is:
\((\)assume that the material is elastic up to the linear strain of \(5 \times 10^{-4})\)
1.
\(15\) kJ/m3
2.
\(20\) kJ/m3
3.
\(25\) kJ/m3
4.
\(30\) kJ/m3
Subtopic: Stress - Strain Curve |
76%
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Poisson's ratio of a material is \(0.5.\) If the force is applied to a wire of this material, decrement in cross-sectional area of the wire is \(4\text{%}.\) The percentage increase in its length is:
1. \(1\text{%}\)
2. \(2\text{%}\)
3. \(2.5\text{%}\)
4. \(4\text{%}\)
1. \(1\text{%}\)
2. \(2\text{%}\)
3. \(2.5\text{%}\)
4. \(4\text{%}\)
Subtopic: Poisson's Ratio |
61%
From NCERT
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A wire can sustain a weight of \(20~\text{kg}\) before breaking. If the wire is cut into two equal pieces, each part can support a weight of:
| 1. | \(10~\text{kg}\) | 2. | \(20~\text{kg}\) |
| 3. | \(40~\text{kg}\) | 4. | \(80~\text{kg}\) |
Subtopic: Stress - Strain |
77%
From NCERT
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A material like rubber which can be stretched to cause large strain is called:
1. highly elastic
2. ductile
3. plastic
4. elastomers
1. highly elastic
2. ductile
3. plastic
4. elastomers
Subtopic: Stress - Strain Curve |
63%
From NCERT
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A vertical wire \(5~\text m\) long and \(8\times 10^{-3}~\text{cm}^2\) cross-sectional area has Young's modulus \(=200~\text {GPa}\) (as shown in the figure). What will be the extension in its length, when a \(2~\text{kg}\) object is fastened to its free end?
1. \(0.625~\text{mm}\)
2. \(0.65~\text{mm}\)
3. \(0.672~\text{mm}\)
4. \(0.72~\text{mm}\)
1. \(0.625~\text{mm}\)
2. \(0.65~\text{mm}\)
3. \(0.672~\text{mm}\)
4. \(0.72~\text{mm}\)
Subtopic: Young's modulus |
87%
From NCERT
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The bulk modulus of a liquid is \(3\times10^{10}\) Nm–2. The pressure required to reduce the volume of liquid by \(2\text{%}\) is:
1. \(3\times10^{8}\) Nm–2
2. \(9\times10^{8}\) Nm–2
3. \(6\times10^{8}\) Nm–2
4. \(12\times10^{8}\) Nm–2
1. \(3\times10^{8}\) Nm–2
2. \(9\times10^{8}\) Nm–2
3. \(6\times10^{8}\) Nm–2
4. \(12\times10^{8}\) Nm–2
Subtopic: Shear and bulk modulus |
90%
From NCERT
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If the ratio of diameters, lengths and Young's modulus of steel and copper wires shown in the figure are \(p,\) \(q\) and \(s\) respectively, then the corresponding ratio of increase in their lengths would be:
| 1. | \(\dfrac{5 q}{\left(7 {sp}^2\right)} \) | 2. | \(\dfrac{7 q}{\left(5 sp^2\right)} \) |
| 3. | \(\dfrac{2 q}{(5 s p)} \) | 4. | \(\dfrac{7 q}{(5 s p)}\) |
Subtopic: Young's modulus |
79%
From NCERT
NEET - 2013
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A wire of length \(\mathrm{L}\) is hanging from a fixed support. The length changes to \(\mathrm{L}_{1}\) and \(\mathrm{L}_{2}\) when masses \(1\) kg and \(2\) kg are suspended respectively from its free end. The value of \(\mathrm{L}\) is equal to:
1. \(\sqrt{\mathrm{L}_{1} \mathrm{~L}_{2}} \)
2. \(\frac{\mathrm{L}_{1}+\mathrm{L}_{2}}{2} \)
3. \(2 \mathrm{~L}_{1}-\mathrm{L}_{2} \)
4. \(3 \mathrm{~L}_{1}-2 \mathrm{~L}_{2}\)
1. \(\sqrt{\mathrm{L}_{1} \mathrm{~L}_{2}} \)
2. \(\frac{\mathrm{L}_{1}+\mathrm{L}_{2}}{2} \)
3. \(2 \mathrm{~L}_{1}-\mathrm{L}_{2} \)
4. \(3 \mathrm{~L}_{1}-2 \mathrm{~L}_{2}\)
Subtopic: Young's modulus |
78%
From NCERT
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The force required to stretch a wire of cross-section \(1\) cm2 to double its length will be:
(Given Young’s modulus of the wire \(=2\times10^{11}\) N/m2)
1. \(1\times10^{7}\) N
2. \(1.5\times10^{7}\) N
3. \(2\times10^{7}\) N
4. \(2.5\times10^{7}\) N
(Given Young’s modulus of the wire \(=2\times10^{11}\) N/m2)
1. \(1\times10^{7}\) N
2. \(1.5\times10^{7}\) N
3. \(2\times10^{7}\) N
4. \(2.5\times10^{7}\) N
Subtopic: Young's modulus |
81%
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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