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 |
 95%
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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 |
 78%
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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 |
 70%
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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 |
 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. YxA2L

2. Yx2AL

3. Yx2A2L

4. 2Yx2AL

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 |
 74%
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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 |
 73%
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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 |
 90%
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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 |
 59%
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