The bulk modulus of water is . The increase in pressure required to decrease the volume of water sample by \(0.1\)% is:
1. \(4 \times 10^6 \mathrm{~N} / \mathrm{m}^2 \)
2. \(2 \times 10^{\mathrm{6}}~ \mathrm{N} / \mathrm{m}^2 \)
3. \(2 \times 10^{\mathrm{8}}~ \mathrm{N} / \mathrm{m}^2 \)
4. \(8 \times 10^{\mathrm{6}}~ \mathrm{N} / \mathrm{m}^2 \)
The bulk modulus of rubber is . To what depth a rubber ball be taken in a lake so that its volume is decreased by 0.1%?
1. | 25 m | 2. | 100 m |
3. | 200 m | 4. | 500 m |
A vessel of \(1\times 10^{-3}\) m3 volume contains oil. When a pressure of \(1.2 \times10^5\) N/m2 is applied on it, then volume decreases by \(0.3 \times 10^{-6}\) m3. The bulk modulus of oil is:
1. | \(1 \times 10^6 \mathrm{~N} / \mathrm{m}^2 \) | 2. | \(2 \times 10^7 \mathrm{~N} / \mathrm{m}^2 \) |
3. | \(4 \times 10^8 \mathrm{~N} / \mathrm{m}^2 \) | 4. | \(6 \times 10^{10} \mathrm{~N} / \mathrm{m}^2\) |
A ball falling into a lake of depth 200 m shows a 0.1% decrease in its volume at the bottom. What is the bulk modulus of the material of the ball?
1.
2.
3.
4.
The volume contraction of a solid copper cube, 10 cm on an edge, when subjected to a hydraulic pressure of \(7.0\times10^6\) Pa is: (Bulk modulus of copper is .)
1. \( 3.1 \times 10^{-2} \mathrm{~m}^3 \)
2. \(9.1 \times 10^{-3} \mathrm{~cm}^3 \)
3. \(5.0 \times 10^{-2} \mathrm{~cm}^3 \)
4. \(7.9 \times 10^{-2} \mathrm{~cm}^3\)
The modulus of rigidity of the ideal liquid is:
1. | infinity |
2. | zero |
3. | unity |
4. | some finite small non-zero constant value |
The edge of an aluminium cube is 10 cm long. One face of the cube is firmly fixed to a vertical wall. A mass of 100 kg is then attached to the opposite face of the cube. The shear modulus of aluminium is 25 GPa. What is the vertical deflection of this face?
1. 4.86×10-6m
2. 3.92×10-7m
3. 3.01×10-7m
4. 6.36×10-7m
The compressibility of water is per unit atmospheric pressure. The decrease in volume of 100 cubic centimeter of water under a pressure of 100 atmosphere will be:
1. 0.4 cc
2.
3. 0.025 cc
4. 0.004 cc
A uniform cube is subjected to volume compression. If each side is decreased by 1%, then bulk strain is:
1. | 0.01 | 2. | 0.06 |
3. | 0.02 | 4. | 0.03 |
The bulk modulus of a spherical object is B. If it is subjected to uniform pressure P, the fractional decrease in radius will be:
1.
2.
3.
4.