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Q. No.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. \({B}{=}\frac{{3}\mathit{\sigma}{-}{3}{G}}{{6}\mathit{\sigma}{+}{2}{G}}\)
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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Level 3: 35%-60%
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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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Level 3: 35%-60%
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Subtopic: Elasticity |
Level 3: 35%-60%
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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. \(1.2~\text{mm}\)
(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 |
Level 3: 35%-60%
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Q. No.
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