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Q. No.A light string has a length of \(1.4 ~\text m \) when subjected to a tension of \(5 ~\text N\) and a length of \(1.56 ~\text m\) when the tension is increased to \(7 ~\text N.\) Assuming the string obeys Hooke’s law, what is its natural length?
1. \(1\) m
2. \(10\) m
3. \(17\) m
4. \(20\) m
1. \(1\) m
2. \(10\) m
3. \(17\) m
4. \(20\) m
Subtopic: Hooke's Law |
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Level 2: 60%+
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The length of a metallic wire is \(l_1,\) when the tension in it is \(T_1\) and is \(l_2\) when the tension is \(T_2.\) The original (natural) length of the wire is:
| 1. | \(\dfrac{l_1+l_2}{2}\) | 2. | \(\dfrac{T_2l_1+T_1l_2}{T_1+T_2}\) |
| 3. | \(\dfrac{T_2l_1-T_1l_2}{T_2-T_1}\) | 4. | \(\dfrac{T_1l_1-T_2l_2}{T_2-T_1}\) |
Subtopic: Hooke's Law |
66%
Level 2: 60%+
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Q. No.
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