Q. No.| 1. | \(10~\text{kg}\) | 2. | \(20~\text{kg}\) |
| 3. | \(40~\text{kg}\) | 4. | \(80~\text{kg}\) |
Two wires of copper having the length in the ratio \(4:1\) and their radii ratio as \(1:4\) are stretched by the same force. The ratio of longitudinal strain in the two wires will be:
1. \(1:16\)
2. \(16:1\)
3. \(1:64\)
4. \(64:1\)
The breaking stress of a wire depends on:
| 1. | material of the wire |
| 2. | length of the wire |
| 3. | radius of the wire |
| 4. | shape of the cross-section |
1. \(\sqrt{\mathrm{L}_{1} \mathrm{~L}_{2}} \)
2. \(\frac{\mathrm{L}_{1}+\mathrm{L}_{2}}{2} \)
3. \(2 \mathrm{~L}_{1}-\mathrm{L}_{2} \)
4. \(3 \mathrm{~L}_{1}-2 \mathrm{~L}_{2}\)
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 bulk modulus for an incompressible liquid is:
1. zero
2. unity
3. infinity
4. between \(0\) and \(1\)
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 |
| 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. |
The following four wires (length \(L\) and diameter \(D\)) are made of the same material. Which of these will have the largest extension when the same tension is applied?
| 1. | \(L=50\) cm, \(D=0.5\) mm |
| 2. | \(L=100\) cm, \(D=1\) mm |
| 3. | \(L=200\) cm, \(D=2\) mm |
| 4. | \(L=300\) cm, \(D=0.5\) mm |
1. highly elastic
2. ductile
3. plastic
4. elastomers
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