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)

1.	\(1.4 \times10^4\) N/m2	2.	\(4.8 \times10^3\) N/m2
3.	\(96 \times10^4\) N/m2	4.	\(3.5\times10^3\) N/m2

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

1.		2.
3.		4.

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

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

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 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?

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:

If \(\mathrm{E}\) is the energy stored per unit volume in a wire having \(\mathrm{Y}\) as Young's modulus of the material, then the stress applied is:
1. $\sqrt{2\mathrm{EY}}$

2. $2\sqrt{\mathrm{EY}}$

3. $\frac{1}{2}\sqrt{\mathrm{EY}}$

4. $\frac{3}{2}\sqrt{\mathrm{EY}}$

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

A ball falling into a lake of depth 200 m shows a 0.1% decrease in its volume at the bottom. What is the bulk modulus of the material of the ball?

1. $19.6\times {10}^{8}N/m^2$               

2. $19.6\times {10}^{-10}N/m^2$

3. $19.6\times {10}^{10}N/m^2$               

4. $19.6\times {10}^{-8}N/m^2$