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?

    

1.	\(0.46\times10^{-6}m\)	2.	\(0.46\times10^{-4}m\)
3.	\(0.46\times10^{8}m\)	4.	\(0.46\times10^{-11}m\)

A metallic rope of diameter \(1~ \text{mm}\) breaks at \(10 ~\text{N}\) force. If the wire of the same material has a diameter of \(2~\text{mm}\), then the breaking force is:

The Young's modulus of a wire is numerically equal to the stress at a point when:

The stress-strain curve for two materials A and B are as shown in the figure. Select the correct statement:

The elongation (x) of a steel wire varies with the elongating force (F) according to the graph: (within elastic limit)

1.		2.
3.		4.

A uniform wire of length \(3\) m and mass \(10\) kg is suspended vertically from one end and loaded at another end by a block of mass \(10\) kg. The radius of the cross-section of the wire is \(0.1\) m. The stress in the middle of the wire is: (Take \(g=10\) ms^-2)

The increase in the length of a wire on stretching is \(0.04\)%. If Poisson's ratio for the material of wire is \(0.5,\) then the diameter of the wire will:

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 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):

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