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Q. No.A sphere of small size is at the bottom of a lake of depth \(200 ~\text m.\) Due to pressure its fractional change in volume is \(\alpha\times 10^{-7}.\) What is the value of \(\alpha,\) if the bulk modulus of the sphere is \(5 × 10^{12}~\text{Pa}?\) (use \(g = 10 ~\text{m/s}^2\) )
1. \(5\)
2. \(4\)
3. \(6\)
4. \(10\)
1. \(5\)
2. \(4\)
3. \(6\)
4. \(10\)
Subtopic: Shear and bulk modulus |
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The bulk modulus of a liquid is \(3\times10^{10}\) Nm–2. The pressure required to reduce the volume of liquid by \(2\text{%}\) is:
1. \(3\times10^{8}\) Nm–2
2. \(9\times10^{8}\) Nm–2
3. \(6\times10^{8}\) Nm–2
4. \(12\times10^{8}\) Nm–2
1. \(3\times10^{8}\) Nm–2
2. \(9\times10^{8}\) Nm–2
3. \(6\times10^{8}\) Nm–2
4. \(12\times10^{8}\) Nm–2
Subtopic: Shear and bulk modulus |
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Level 1: 80%+
JEE
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The dimensions of the ratio of pressure to the elastic modulus is:
| 1. | \([ML^{-2}]\) | 2. | \([LT^{-2}]\) |
| 3. | \([L^2]\) | 4. | \([M^0L^0T^0]\) (dimensionless) |
Subtopic: Shear and bulk modulus |
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A metal cube is exposed to a hydrostatic pressure of \(4\) GPa. The bulk modulus of the metal is given as \(B=8\times 10^{10}~\text{Pa}.\) What is the percentage change in the volume of the cube?
1. \(2.5\)
2. \(5\)
3. \(7.5\)
4. \(10\)
Subtopic: Shear and bulk modulus |
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The SI unit of Bulk modulus is same as:
| 1. | Young's modulus |
| 2. | Stress |
| 3. | Poisson's ratio |
| 4. | Both (1) and (2) |
Subtopic: Shear and bulk modulus | Young's modulus |
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A ball falling in a lake of depth \(200\text{ m}\) shows \(0.1\%\) decrease in its volume at the bottom. What is the bulk modulus of the material of the ball?
1. \(19 . 6 \times \left(10\right)^{8} \text{ N/m}^{2}\)
2. \(19 . 6 \times \left(10\right)^{- 10}\text{ N/m}^{2}\)
3. \(19 . 6 \times \left(10\right)^{10}\text{ N/m}^{2}\)
4. \(19 . 6 \times \left(10\right)^{- 8}\text{ N/m}^{2}\)
Subtopic: Shear and bulk modulus |
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Level 2: 60%+
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