A square lead slab of side \(50\) cm and thickness \(10\) cm is subject to a shearing force (on its narrow face) of \(9.0\times 10^{4}~\text{N}\). The lower edge is riveted to the floor as shown in the figure below. How much will the upper edge be displaced? (Shear modulus of lead \(= 5.6\times 10^{9}~\text{Nm}^{-2}\))
1. | \(0.16\) mm | 2. | \(1.8\) mm |
3. | \(18\) mm | 4. | \(16\) mm |
(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 bulk modulus is infinite. | (b) | the bulk modulus is zero. |
(c) | the shear modulus is infinite. | (d) | the shear modulus is zero. |
On withdrawing the external applied force on bodies within the elastic limit, the body:
1. | regains its previous state very quickly |
2. | regains its previous state after some time |
3. | regains its previous state after a very long time |
4. | does not regain its previous state |
Assertion (A): | The stretching of a spring is determined by the shear modulus of the material of the spring. |
Reason (R): | A coil spring of copper has more tensile strength than a steel spring of the same dimensions. |
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 False but (R) is True. |
4. | (A) is True but (R) is False. |
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. |
If two different types of rubber are found to have stress-strain curves as shown, then:
1. | A is suitable for shock absorbers. |
2. | B is suitable for shock absorbers. |
3. | B is suitable for car tires. |
4. | None of these |