A steel cable with a radius of 1.5 cm supports a chairlift at a ski area. If the maximum stress is not to exceed 10⁸ N/m², what is the maximum load that the cable can support?
1. 7.06 x 10⁴ N
2. 5.03 x 10⁴ N
3. 1.09 x 10⁴ N
4. 17 x 10⁴ N

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 $140\times {10}^9$ $\mathrm{Pa}$.)
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. \(7.9 \times 10^{-2} \mathrm{~cm}^3\)$$

Hooke's law is applicable for:

If two different types of rubber are found to have stress-strain curves as shown, then:
                   

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?

$\mathrm{}$
1. 4.86×10^-6m

2. 3.92×10^-7m

3. 3.01×10^-7m

4. 6.36×10^-7m

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):

On withdrawing the external applied force on bodies within the elastic limit, the body:

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 modulus of rigidity of the ideal liquid is:

The breaking stress of a wire going over a smooth pulley in the following question is 2 × ${10}^9$ N/${\mathrm{m}}^2$. What would be the minimum radius of the wire used if it is not to break?