A uniform rod of mass \(10~\text{kg}\) and length \(6~\text m\) is hanged from the ceiling as shown in the figure. Given the area of the cross-section of rod \(3~\text{mm}^2\) and Young’s modulus is \(2\times10^{11}~\text{N/m}^2.\) The extension in the rod’s length is:
(Take \(g=10~\text{m/s}^2\))

1. \(1~\text{mm}\)
2. \(0.5~\text{mm}\)
3. \(0.25~\text{mm}\)
4. \(1.2~\text{mm}\)
Subtopic:  Elasticity |
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For a perfectly rigid body, the elasticity is:

1. unity 2. zero
3. infinite 4. indeterminate
Subtopic:  Elasticity |
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Choose the option showing the correct relation between Poisson’s ratio(\(\sigma\)), Bulk modulus(\(B\)), and Modulus of rigidity(\(G\)).
1. \(\mathit{\sigma}{=}\frac{{3}{B}{-}{2}{G}}{{2}{G}{+}{6}{B}}\)
2. \(\mathit{\sigma}{=}\frac{{6}{B}{+}{2}{G}}{{3}{B}{-}{2}{G}}\)
3. \(\mathit{\sigma}{=}\frac{9BG}{{3}{B}{+}{G}}\)
4. \({B}{=}\frac{{3}\mathit{\sigma}{-}{3}{G}}{{6}\mathit{\sigma}{+}{2}{G}}\)
Subtopic:  Elasticity |
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Select the incorrect definition:

1. Deforming Force: A force that changes the configuration of a body.
2. Elasticity: The property of regaining the original configuration.
3. Plastic body: A body that can be easily melted.
4. Elastic limit: The point beyond which a material begins to flow.

Subtopic:  Elasticity |
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