1. | \(0.7\) m from wire \(A\) |
2. | \(0.07\) m from wire \(A\) |
3. | \(7.0\) m from wire \(A\) |
4. | \(0.007\) m from wire \(A\) |
Hooke's law is applicable for:
1. | elastic materials only | 2. | plastic materials only |
3. | elastomers only | 4. | all of these |
The figure shows the graph between stress and strain for a uniform wire at two different temperatures. Then:
1. \(T_1>T_2\)
2. \(T_2>T_1\)
3. \(T_1=T_2\)
4. None 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 |
Anvils made of single crystals of diamond, with the shape as shown in the figure, are used to investigate the behaviour of materials under very high pressures. Flat faces at the narrow end of the anvil have a diameter of \(0.50\) mm, and the wide ends are subjected to a compressional force of \(50,000\) N. What is the pressure at the tip of the anvil?
1. \(2.5\times10^{11}\) Pa
2. \(3.7\times10^{11}\) Pa
3. \(2.1\times10^{11}\) Pa
4. \(1.9\times10^{11}\) Pa
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. \(7.9 \times 10^{-2} ~\text{cm}^3 \)
What is the density of water at a depth where pressure is \(80.0\) atm, given that its density at the surface is \(1.03\times10^{3}~\text{kg m}^{-3}\)?
1. | \(0 . 021 \times 10^{3}~\text{kg m}^{-3}\) | 2. | \(4.022 \times10^{3}~\text{kg m}^{-3}\) |
3. | \(3.034 \times 10^{3}~\text{kg m}^{-3}\) | 4. | \(1.034 \times 10^{3}~\text{kg m}^{-3}\) |
Four identical hollow cylindrical columns of mild steel support a big structure of a mass of \(50,000\) kg. The inner and outer radii of each column are \(30\) cm and \(60\) cm respectively. Assuming the load distribution to be uniform, the compressional strain of each column is:
(Given, Young's modulus of steel, \(Y = 2\times 10^{11}~\text{Pa}\))
1. | \(3.03\times 10^{-7}\) | 2. | \(2.8\times 10^{-6}\) |
3. | \(7.22\times 10^{-7}\) | 4. | \(4.34\times 10^{-7}\) |
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. | \(6.36\times 10^{-7}~\text{m}\) |