The stress-strain curve for two materials \(A\) and \(B\) are as shown in the figure. Select the correct statement:
1. | Material \(A\) is less brittle and less elastic as compared to \(B\). |
2. | Material \(A\) is more ductile and less elastic as compared to \(B\). |
3. | Material \(A\) is less brittle and more elastic than \(B\). |
4. | Material \(B\) is more brittle and more elastic than \(A\). |
The Young's modulus of a wire is numerically equal to the stress at a point when:
1. | The strain produced in the wire is equal to unity. |
2. | The length of the wire gets doubled. |
3. | The length increases by \(100\%.\) |
4. | All of these. |
Aluminium and iron rods of the same length and same diameter are combined together as shown in the figure. A force \(F\) is applied at one of the ends. The combined length is increased by \(2\) cm. The rods will have:
1. | same stress and strain. |
2. | different stress and strain. |
3. | same stress and different strain. |
4. | same strain and different stress. |
A uniform rod suspended from the ceiling gets elongated by its weight. Which one of the following graphs represents the variation of elongation with length, \(L\)?
1. | 2. | ||
3. | 4. |
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:
1. | \(2.5~\text{N}\) | 2. | \(5~\text{N}\) |
3. | \(20~\text{N}\) | 4. | \(40~\text{N}\) |
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 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:
1. | \(0.02\)%. | decrease by2. | \(0.01\)%. | decrease by
3. | \(0.04\)%. | decrease by4. | \(0.03\)%. | increase by
A wire of length \(L,\) area of cross section \(A\) is hanging from a fixed support. The length of the wire changes to \({L}_1\) when mass \(M\) is suspended from its free end. The expression for Young's modulus is:
1. | \(\dfrac{{Mg(L}_1-{L)}}{{AL}}\) | 2. | \(\dfrac{{MgL}}{{AL}_1}\) |
3. | \(\dfrac{{MgL}}{{A(L}_1-{L})}\) | 4. | \(\dfrac{{MgL}_1}{{AL}}\) |
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)
1. | equal to material \(B\) |
2. | less than material \(B\) |
3. | greater than material \(B\) |
4. | can't say |