# A cube of aluminium of sides 0.1 m is subjected to a shearing force of 100 N. The top face of the cube is displaced through 0.02 cm with respect to the bottom face. The shearing strain would be: 1. 0.02                                    2. 0.1 3. 0.005                                 4. 0.002

Subtopic:  Stress - Strain |
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The strain-stress curves of three wires of different materials are shown in the figure. P, Q and R are the elastic limits of the wires. The figure shows that:

 1 Elasticity of wire P is maximum 2 Elasticity of wire Q is maximum 3 Tensile strength of R is maximum 4 None of the above is true

Subtopic:  Stress - Strain Curve |
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The work done in stretching an elastic wire per unit volume is:

 1 stress$$\times$$strain 2 $$\frac{1}{2}$$ $$\times$$ stress$$\times$$strain 3 $$2\times$$ stress$$\times$$strain 4 stress/strain
Subtopic:  Potential energy of wire |
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A $$5$$ m long wire is fixed to the ceiling. A weight of $$10$$ kg is hung at the lower end and is $$1$$ m above the floor. The wire was elongated by $$1$$ mm. The energy stored in the wire due to stretching is:
1. zero
2. $$0.05$$ J
3. $$100$$ J
4. $$500$$ J

Subtopic:  Potential energy of wire |
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If the force constant of a wire is K, the work done in increasing the length of the wire by l is:

1. $Kl/2$

2. $Kl$

3. $K{l}^{2}/2$

4. $K{l}^{2}$

Subtopic:  Potential energy of wire |
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When strain is produced in a body within elastic limit, its internal energy:
1. Remains constant
2. Decreases
3. Increases
4. None of the above

Subtopic:  Potential energy of wire |
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The Young's modulus of a wire is Y.  If the energy per unit volume is E, then the strain will be:

1. $\sqrt{\frac{2E}{Y}}$

2. $\sqrt{2EY}$

3. $EY$

4. $\frac{E}{Y}$

Subtopic:  Potential energy of wire |
81%
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A wire of length $$L$$ and cross-sectional area $$A$$ is made of a material of Young's modulus $$Y.$$ It is stretched by an amount $$x.$$ The work done is:
1. $\frac{YxA}{2L}$

2. $\frac{Y{x}^{2}A}{L}$

3. $\frac{Y{x}^{2}A}{2L}$

4. $\frac{2Y{x}^{2}A}{L}$

Subtopic:  Potential energy of wire |
77%
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The work done per unit volume to stretch the length of a wire by 1%  with a constant cross-sectional area will be: $\left[Y=9×{10}^{11}N/{m}^{2}\right]$

1. $9×{10}^{11}$ $J$

2. $4.5×{10}^{7}J$

3. $9×{10}^{7}J$

4. $4.5×{10}^{11}$ $J$

Subtopic:  Potential energy of wire |
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lf $\mathrm{\rho }$ is the density of the material of a wire and $\sigma$ is the breaking stress, the greatest length of the wire that can hang freely without breaking is:

1.$\frac{2}{\mathrm{\rho g}}$

2. $\frac{\mathrm{\rho }}{\mathrm{\sigma g}}$

3.$\frac{\mathrm{\rho g}}{2\mathrm{\sigma }}$

4. $\frac{\mathrm{\sigma }}{\mathrm{\rho g}}$

Subtopic:  Stress - Strain |
72%
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