Q. No.A cube made of a homogeneous, isotropic elastic solid is acted upon by forces of equal magnitude acting perpendicular to its opposite faces as shown. Forces are applied uniformly over the area of each face. The stress at the centre of the cube is:
1. tensile
2. compressive
3. shear
4. zero
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| 1. | no stress. | 2. | compressive stress. |
| 3. | tensile stress. | 4. | shear stress. |
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| 1. |  |
2. |  |
| 3. |  |
4. |  |
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| 1. | \(1\) | 2. | \(2\) |
| 3. | \(\sqrt 2\) | 4. | \(\dfrac12\) |
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1. \(\sigma_A=\sigma_C\)
2. \(\sigma_A=2\sigma_C\)
3. \(\sigma_C=2\sigma_A\)
4. \(\sigma_C=\dfrac34\sigma_A\)
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| 1. | \(B_1\) | 2. | \(2B_1\) |
| 3. | \( \dfrac {B_1}{2}\) | 4. | \(\dfrac {B_1}{\sqrt 2}\) |
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| 1. | \(2\) | 2. | \(\dfrac14\) |
| 3. | \(\dfrac18\) | 4. | \(\dfrac1{2\sqrt2}\) |
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| 1. | (stress)2 × strain | 2. | stress × strain |
| 3. | \(\dfrac12\) × stress × strain | 4. | stress × (strain)2 |
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| 1. | larger in the rod with a larger Young's modulus |
| 2. | larger in the rod with a smaller Young's modulus |
| 3. | equal in both the rods |
| 4. | negative in the rod with a smaller Young's modulus |
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| 1. | \(F_1=F_2\) | 2. | \(2F_1=F_2\) |
| 3. | \(3F_1=F_2\) | 4. | \(6F_1=F_2\) |
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