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Q. No.The length of an elastic string is \(a\) metre when the longitudinal tension is \(4\) N and \(b\) metre when the longitudinal tension is \(5\) N. The length of the string in metre when the longitudinal tension is \(9\) N will be:
| 1. | \(a-b\) | 2. | \(5b-4a\) |
| 3. | \(2b-\frac{1}{4}a\) | 4. | \(4a-3b\) |
Hooke's law is applicable for:
| 1. | elastic materials only | 2. | plastic materials only |
| 3. | elastomers only | 4. | all of these |
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. | \(64:1\) |
An elastic string obeying Hooke’s law has a length \(l_1\) metres when the tension is \(4~\text{N},\) and a length \(l_2\) metres when the tension is \(5~\text{N}.\) What is its natural length (i.e., its length when the tension is zero)?
1. \(5l_1-4l_2\)
2. \(5l_2-4l_1\)
3. \(9l_1-8l_2\)
4. \(9l_2-8l_1\)
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. |
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Q. No.
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