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This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Two parallel and opposite forces, each of magnitude `4000 N`, are applied tangentially to the upper and lower faces of a cubical metal block `25 cm` on a side. Find the angle of shear and the displacement of the upper surface relative to the lower surface. The shear modulus for the metal is `80 GPa`. |
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Answer» Correct Answer - `8.0xx10^(-7) rad ,2.0xx10^(-7)m` |
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| 2. |
Find the density of the metal under a pressure of 20,000 N `cm^(-2)`. Given density of the metal=11 g `cm^(-3)`, bulk modulus of the metal `=8xx10^(9) Nm^(-2)` |
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Answer» Correct Answer - `11.28 g m^(-3)` |
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| 3. |
A lift is tied with thick iron wire and its mass is `1000kg`. If the maximum acceleration of the lift is `1.2ms^(2)` and the maximum stress of the wire is `1.4xx10^(8) Nm^(2)` what should be the minimum diameter of the wire? |
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Answer» Correct Answer - 0.01m |
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| 4. |
Calculate the volume change of a solid copper cube, 40 mm on each edge, when subjected to a pressure of `2xx10^(7)` Pa. The bulk modulus for copper is `1.25xx10^(11) Nm^(-2)`. |
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Answer» Correct Answer - `-10.21 mm^(3)` |
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| 5. |
A block of vloume 1 `m^(3)` is subjected to a hydrostatic pressure of `1.3xx10^(5) Nm^(-2)`. If the bulk modulus of the material of the block be `26xx10^(12) Nm^(2)`, what is the decrease in the volume of the block? |
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Answer» Correct Answer - `5 mm^(3)` |
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| 6. |
Two wires made of the same material are subjected to forces in the ratio of `1:4`. Their lengths are in the ratio `8:1` and diameter in the ration 2:1. Find the ratio of their extensions. |
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Answer» Correct Answer - `1:2` |
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| 7. |
A steel wire 2mm in diameter is stretched between two clamps, when its temperature is `40^@C` Calculate the tension in the wire, when its temperature falls to `30^@C` Given, coefficient Y for steel ` = 21 xx 10^(11) dyn e//cm^2`, coefficient for steel= 11 x 10^(-6). |
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Answer» Correct Answer - `7.25xx10^(6)` dyne |
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| 8. |
The breaking stress of aluminium is `7.5 xx 10^7 Nm^(-2)` Find the greatest length of aluminum wire that can hang vertically without breaking Density of aluminium is `2.7 xx 10^3 kg m^(-3)` |
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Answer» Correct Answer - `2.83xx10^(3)` |
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| 9. |
The compressibility of water is `4xx10^-5` per unit atmospheric pressure. The decrease in volume of 100 cubic centimetre of water under a pressure of 100 atmosphere will be |
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Answer» Correct Answer - `0.4 cm^(3)` |
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| 10. |
A box shaped piece of gelatine desert has a top area of 15 `cm^(2)` and a height of 3 cm. when a shearing force of 0.50 N is applied to the upper surface, the upper surface is displaced 4mm relative to the bottom surface. What are the shearing stress, shearing strain and shear modulus for the gelatin ? |
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Answer» Correct Answer - `333.3 Nm^(-2), 0.133 rad 2506 Nm^(-2)` |
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| 11. |
An Indian rubber cube of side 7 cm has one side fixed, while a tengential force equal to the weight of 200 kilogram is applied to the opposite face. Find the shearing strain produced and distance through which th strained side moves. Modulus of rigidity for rubber is `2xx10^(7)` dyne `cm^(-2)` |
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Answer» Correct Answer - 0.2 radian, 1.4 cm |
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| 12. |
The upper face of a cube of edge 1 m moves through a distance of 1 mm relative to the lower fixed face under the action of a tangential force of `1.5xx10^(8)` N. Calculate the tangential stress, shear strain and the modulus of rigidity. |
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Answer» Correct Answer - `1.5xx10^(8) Nm^(-2), 0.001 rad , 1.5xx10^(11) Nm^(-2)` |
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| 13. |
A uniform pressure P is exerted by an external agent on all sides of a solid cube at temperature `t^(@)C`. By what amount should the temperature of the cube be raised in order to bring its volume back to its original volume before the pressure was applied if the bulk modulus is B and co-efficient of volumetric expansion is `gamma`? |
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Answer» Correct Answer - `(p)/(gamma k)` |
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| 14. |
A solid ball 300 cm in diameter is submerged in a lake a such a depth that the pressure exerted by water is 1.00 kgf `cm^(-2)`. Find the change in volume of the ball at this depth k for material of the ball `=1.00xx10^(13) dyne cm^(-2)` |
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Answer» Correct Answer - `1.385 cm^(3)` |
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| 15. |
In taking a solid ball of rubber from the surface to the bottom of a lake of `180 m` depth, reduction in the volume of the ball is `0.01 %`. The density of water of the lake is `1xx10^(3)kg//m^(3)`. Determine the value of the bulk modulus of elasticity of rubber . `(g = 9.8m//s^(2))` |
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Answer» Correct Answer - `1.8xx10^(9) Nm^(-2)` |
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