A wire can sustain a weight of 10 kg before breaking. If the wire is cut into two equal parts, then each part can sustain a weight of:

1.	2.5 kg	2.	5 kg
3.	10 kg	4.	15 kg

A 1000 kg lift is tied with metallic wires of maximum safe stress of 1.4 $\times$ 10⁸ N m^-2. If the maximum acceleration of the lift is 1.2 m s^-2, then the minimum diameter of the wire is:
1. 1 m 

2. 0.1 m

3. 0.01 m 

4. 0.001 m

Overall changes in volume and radius of a uniform cylindrical steel wire are 0.2% and 0.002% respectively when subjected to some suitable force. Longitudinal tensile stress acting on the wire is: ($\mathrm{Y}=2.0\times {10}^{11}$ ${\mathrm{Nm}}^{-2}$)

1.  $3.2\times {10}^{11}$ ${\mathrm{Nm}}^{-2}$

2.  $3.2\times {10}^7$ ${\mathrm{Nm}}^{-2}$

3.  $3.6\times {10}^9$ ${\mathrm{Nm}}^{-2}$

4.  3.9$\times {10}^8$ ${\mathrm{Nm}}^{-2}$

Choose the correct statement.

A steel ring of radius \(\mathrm{r}\) and cross-section area \(\mathrm{A}\) is fitted onto a wooden disc of radius \(\mathrm{R}(\mathrm{R}>\mathrm{r}).\) If Young's modulus is \(\mathrm{E},\) then the force with which the steel ring is expanded is:

A light rod of length 2m is suspended from the ceiling horizontally by means of two vertical wires of equal length. A weight W is hung from the light rod as shown in the figure. The rod is hung by means of a steel wire of cross-sectional area $A_1=0.1$ $c{m}^2$ and brass wire of cross-sectional area $A_2=0.2$ $c{m}^2$. To have equal stress in both wires, ${\mathrm{T}}_1/{\mathrm{T}}_2$=?

The stress versus strain graphs for wires of two materials A and B are as shown in the figure. If ${\mathrm{Y}}_{\mathrm{A}}$ $\mathrm{and}$ ${\mathrm{Y}}_{\mathrm{B}}$ are the Young's moduli of the materials, then:

Copper of fixed volume \(V\) is drawn into a wire of length \(l.\) When this wire is subjected to a constant force \(F,\) the extension produced in the wire is \(\Delta l.\) Which of the following graphs is a straight line?
1. \(\Delta l ~\text{vs}~\frac{1}{l}\)
2. \(\Delta l ~\text{vs}~l^2\)
3. \(\Delta l ~\text{vs}~\frac{1}{l^2}\)
4. \(\Delta l ~\text{vs}~l\)

Two wires are made of the same material and have the same volume. The first wire has a cross-sectional area \(A\) and the second wire has a cross-sectional area \(3A\). If the length of the first wire is increased by \(\Delta l\) on applying a force \(F\), how much force is needed to stretch the second wire by the same amount?

A vessel of \(1\times 10^{-3}\) m³ volume contains oil. When a pressure of \(1.2 \times10^5\) N/m² is applied on it, then volume decreases by \(0.3 \times 10^{-6}\) m³. The bulk modulus of oil is: