The following four wires are made of the same material. Which of them will have the largest extension when the same tension is applied?
1. Length=50 cm, diameter=0.5 mm
2. Length=100 cm, diameter=1 mm
3. Length=200 cm, diameter=2 mm
4. Length=300 cm, diameter=3 mm
Two wires of copper having length in the ratio of \(4:1\) and radii ratio of \(1:4\) are stretched by the same force. The ratio of longitudinal strain in the two will be:
| 1. | \(1:16\) | 2. | \(16:1\) |
| 3. | \(1:64\) | 4. | \(64:1\) |
A wire of length L and radius r is rigidly fixed at one end. On stretching the other end of the wire with a force F, the increase in its length is l. If another wire of same material but of length 2L and radius 2r is stretched with a force of 2F, the increase in its length will be
1. l
2. 2l
3.
4.
A fixed volume of iron is drawn into a wire of length L. The extension x produced in this wire by a constant force F is proportional to:
1.
2.
3.
4. L
In which case, there is a maximum extension in the wire, if the same force is applied on each wire?
1. L = 500 cm, d = 0.05 mm
2. L = 200 cm, d = 0.02 mm
3. L = 300 cm, d = 0.03 mm
4. L = 400 cm, d = 0.01 mm
Hooke's Law is obeyed within:
(1) Elastic limit
(2) Proportionality limit
(3) Breaking point
(4) Freezing point
Given below are two statements:
| Assertion (A): | Hooke's law is applicable up to the elastic limit. |
| Reason (R): | Up to the elastic limit, stress is directly proportional to strain. |
| 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. |
A steel wire is 1 m long and 1 mm2 in area of cross section. If it takes 200 N to stretch this wire by 1 mm, how much force will be required to stretch a wire of the same material as well as diameter from its normal length of 10 m to a length of 1002 cm?
1. 1000 N
2. 200 N
3. 400 N
4. 2000 N
1. \(0.16\%\)
2. \(0.32\%\)
3. \(0.08\%\)
4. \(0.12\%\)
A rod of length l and radius r is held between two rigid walls so that it is not allowed to expand. If its temperature is increased, then the force developed in it is proportional to
1. l
2.
3.
4.
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