# 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. $$\frac{Kl}{2}$$
2. $$Kl$$
3. $$\frac{Kl^2}{2}$$
4. $$Kl^2$$

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 |
53%
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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 |
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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:
$$Y = 9\times10^{11}~\text{N/m}^2$$
1. $$9\times 10^{11}~\text{J}$$
2. $$4.5\times 10^{7}~\text{J}$$
3. $$9\times 10^{7}~\text{J}$$
4. $$4.5\times 10^{11}~\text{J}$$

Subtopic:  Potential energy of wire |
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lf $$\rho$$ 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. $$\frac{2}{\rho g}$$
2. $$\frac{\rho}{\sigma g}$$
3. $$\frac{\rho g}{2 \sigma}$$
4. $$\frac{\sigma}{\rho g}$$

Subtopic:  Stress - Strain |
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An elastic material of Young's modulus $$Y$$ is subjected to a stress $$S$$. The elastic energy stored per unit volume of the material is:
1. $$\frac{SY}{2}$$
2. $$\frac{S^2}{2Y}$$
3. $$\frac{S}{2Y}$$
4. $$\frac{2S}{Y}$$

Subtopic:  Potential energy of wire |
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A material has Poisson's ratio of $$0.5$$. If a uniform rod made of it suffers a longitudinal strain of $$2\times 10^{-3}$$, what is the percentage increase in volume?
1. $$2\%$$
2. $$4\%$$
3. $$0\%$$
4. $$5\%$$

Subtopic:  Poisson's Ratio |
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