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 stress-strain graphs for two materials \(A\) and \(B\) are shown in the figure. The graphs are drawn to the same scale. Select the correct statement:
1. material \(A\) has a greater Young's Modulus.
2. material \(A\) is ductile.
3. material \(B\) is brittle.
4. all of these.
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 |
A wire is suspended from the ceiling and stretched under the action of a weight \(F\) suspended from its other end. The force exerted by the ceiling on it is equal and opposite to the weight.
(a) | Tensile stress at any cross-section \(A\) of the wire is \(F/A.\) |
(b) | Tensile stress at any cross-section is zero. |
(c) | Tensile stress at any cross-section \(A\) of the wire is \(2F/A.\) |
(d) | Tension at any cross-section \(A\) of the wire is \(F.\) |
Choose the correct option from the given ones:
1. (a) and (b) only
2. (a) and (d) only
3. (b) and (c) only
4. (a) and (c) only
The volume contraction of a solid copper cube, \(10~\text{cm}\) on an edge, when subjected to a hydraulic pressure of \(7.0\times10^6~\text{Pa}\) 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. \(7.9 \times 10^{-2} ~\text{cm}^3 \)
The edge of an aluminum cube is \(10~\text{cm}\) long. One face of the cube is firmly fixed to a vertical wall. A mass of \(100~\text{kg}\) is then attached to the opposite face of the cube. The shear modulus of aluminum is \(25~\text{GPa}.\) 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 |