Assertion(A): | Stress is the restoring force per unit area of a body. |
Reason(R): | Rubber is more elastic than 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. | Both (A) and (R) are false. |
Assertion (A): | On elastic bodies, though we apply force and experience elongation, it is a general practice to plot stress versus strain instead of plotting force versus elongation graph. |
Reason (R): | Stress versus strain plotting makes the graph independent of the geometry of the sample body and reflects only the material property. |
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. | Both (A) and (R) are False. |
Assertion (A): | Elastomers are used as vibration dampers. |
Reason (R): | Elastomers show elastic hysteresis. |
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. | Both (A) and (R) are false. |
The stress-strain graphs for the two materials are shown in the figure. (assumed 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) |
The correct statements are:
1. (a), (c)
2. (c), (d)
3. (b), (c)
4. (b), (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 \(F.\) |
The correct statements are:
1. | (a), (b) | 2. | (a), (d) |
3. | (b), (c) | 4. | (a), (c) |
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. |
Assertion (A): | Young's modulus for a perfectly plastic body is zero. |
Reason (R): | For a perfectly plastic body, restoring force is zero. |
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. | Both (A) and (R) are False. |
Assertion (A): | The bridges are declared unsafe after long use. |
Reason (R): | The bridges lose their elastic strength with time. |
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. | Both (A) and (R) are False. |
Assertion (A): | Identical springs of steel and copper are equally stretched. More work will be done on the steel spring. |
Reason (R): | Steel is more elastic than copper. |
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. | Both (A) and (R) are False. |