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. \(64:1\)
Subtopic:  Hooke's Law |
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Hooke's law is applicable for:

1. elastic materials only 2. plastic materials only
3. elastomers only 4. all of these

Subtopic:  Hooke's Law |
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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. \(4a-3b\)
Subtopic:  Hooke's Law |
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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. \(64:1\)
Subtopic:  Hooke's Law |
 64%
Level 2: 60%+
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On applying stress of \(20 \times 10^8~\text{Nm}^{-2}\) the length of a perfectly elastic wire is doubled. It's Young’s modulus will be:
1. \(40 \times 10^8~\text{Nm}^{-2}\)
2. \(20 \times 10^8~\text{Nm}^{-2}\)
3. \(10 \times 10^8~\text{Nm}^{-2}\)
4. \(5 \times 10^8~\text{Nm}^{-2}\)

Subtopic:  Hooke's Law |
 71%
Level 2: 60%+
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