The figure shows the stress-strain curve for a given material. Young's modulus for the material is:
The figure given below shows the longitudinal stress vs longitudinal strain graph for a given material. Based on the given graph, Young's modulus of the material with the increase in strain will:
1. be variable.
2. first increase & then decrease.
3. first decrease & then increase.
4. remain constant.
A student plots a graph from his readings on the determination of Young modulus of a metal wire but forgets to put the labels (figure). The quantities on X and Y-axes may be respectively,
(a) | weight hung and length increased |
(b) | stress applied and length increased |
(c) | stress applied and strain developed |
(d) | length increased and the weight hung |
Choose the correct option:
1. | (a) and (b) |
2. | (b) and (c) |
3. | (a), (b) and (d) |
4. | all of these |
1. | 2. | ||
3. | 4. |
(a) | the same stress | (b) | different stress |
(c) | the same strain | (d) | different strain |
1. | (a), (b) | 2. | (a), (d) |
3. | (b), (c) | 4. | (c), (d) |
(a) | The mass \(m\) should be suspended close to wire \(A\) to have equal stresses in both wires. |
(b) | The mass \(m\) should be suspended close to \(B\) to have equal stresses in both wires. |
(c) | The mass \(m\) should be suspended in the middle of the wires to have equal stresses in both wires. |
(d) | The mass \(m\) should be suspended close to wire \(A\) to have equal strain in both wires. |
1. | (b), (c) | 3. | (b), (d) |
2. | (a), (d) | 4. | (c), (d) |
A wire is suspended from the ceiling and stretched under the action of a weight \(F\) suspended from its other end. The force exerted by the ceiling on it is equal and opposite to the weight.
(a) | Tensile stress at any cross-section \(A\) of the wire is \(F/A.\) |
(b) | Tensile stress at any cross-section is zero. |
(c) | Tensile stress at any cross-section \(A\) of the wire is \(2F/A.\) |
(d) | Tension at any cross-section \(A\) of the wire is \(F.\) |
Choose the correct option from the given ones:
1. (a) and (b) only
2. (a) and (d) only
3. (b) and (c) only
4. (a) and (c) only
The stress-strain graphs for the two materials are shown in the figure.
(assumed the same scale)
(a) | Material (ii) is more elastic than material (i) and hence material (ii) is more brittle |
(b) | Material (i) and (ii) have the same elasticity and the same brittleness |
(c) | Material (ii) is elastic over a larger region of strain as compared to (i) |
(d) | Material (ii) is more brittle than material (i) |
Choose the correct statements from the given ones:
1. (a) and (c) only
2. (c) and (d) only
3. (b) and (c) only
4. (b) and (d) only
Assertion (A): | Soft steel can be made red hot by continued hammering on it, but hard steel cannot. |
Reason (R): | Energy transfer in the case of soft is large as in hard steel. |
1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
3. | (A) is True but (R) is False. |
4. | (A) is False but (R) is True. |
Assertion (A): | Bulk modulus of elasticity \(B\) represents the incompressibility of the material. |
Reason (R): | \( B=-\frac{\Delta p}{\Delta V / V} \), where symbols have their usual meaning. |
1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
3. | (A) is True but (R) is False. |
4. | (A) is False but (R) is True. |