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 \(140 \times10^{9}~\text{Pa}.\))
1. \( 3.1 \times 10^{-2} ~\text{m}^3 \)
2. \(9.1 \times 10^{-3} ~\text{cm}^3 \)
3. \(5.0 \times 10^{-2} ~\text{cm}^3 \)
4. \(7.9 \times 10^{-2} ~\text{cm}^3 \)
Hooke's law is applicable for:
1. | elastic materials only | 2. | plastic materials only |
3. | elastomers only | 4. | all of these |
If two different types of rubber are found to have stress-strain curves as shown, then:
1. | A is suitable for shock absorbers. |
2. | B is suitable for shock absorbers. |
3. | B is suitable for car tires. |
4. | None of these |
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. | \(4.86\times 10^{-6}~\text{m}\) | 2. | \(3.92\times 10^{-7}~\text{m}\) |
3. | \(3.01\times 10^{-7}~\text{m}\) | 4. | \(6.36\times 10^{-7}~\text{m}\) |
The stress-strain graphs for materials \(A\) and \(B\) are shown in the figure. Young’s modulus of material \(A\) is: (the graphs are drawn to the same scale):
1. | equal to material \(B\) |
2. | less than material \(B\) |
3. | greater than material \(B\) |
4. | can't say |
On withdrawing the external applied force on bodies within the elastic limit, the body:
1. | regains its previous state very quickly. |
2. | regains its previous state after some time. |
3. | regains its previous state after a very long time. |
4. | does not regain its previous state. |
The stress versus strain graph is shown for two wires. If \(Y_1\) and \(Y_2\) are Young modulus of wire A and B respectively, then the correct option is:
1. | \(Y_1>Y_2\) | 2. | \(Y_2>Y_1\) |
3. | \(Y_1=Y_2\) | 4. | cannot say |
The breaking stress of a wire going over a smooth pulley in the following question is \(2\times 10^{9}\) N/. What would be the minimum radius of the wire used if it is not to break?
1. | \(0.46\times10^{-6}~\text{m}\) | 2. | \(0.46\times10^{-4}~\text{m}\) |
3. | \(0.46\times10^{8}~\text{m}\) | 4. | \(0.46\times10^{-11}~\text{m}\) |