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Q. No.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 |
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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. \(5 \times 10^8~\text{Nm}^{-2}\)
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 |
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A copper wire of length \(2.2\) m and a steel wire of length \(1.6\) m, both of diameter \(3.0\) mm, are connected end to end. When stretched by a load, the net elongation is found to be \(0.70\) mm. The load applied is: \(Y_C = 1.1\times 10^{11}~\text{Nm}^{-2}~\text{and}~Y_S = 2.0\times 10^{11}~\text{Nm}^{-2}\)
1. \(1.8\times 10^{2}~\text{N}\)
2. \(1.8~\text{N}\)
3. \(1.8\times 10^{3}~\text{N}\)
4. \(18\times 10^{3}~\text{N}\)
1. \(1.8\times 10^{2}~\text{N}\)
2. \(1.8~\text{N}\)
3. \(1.8\times 10^{3}~\text{N}\)
4. \(18\times 10^{3}~\text{N}\)
Subtopic: Hooke's Law |
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A structural steel rod has a radius of \(10~\text{mm}\) and a length of \(1.0~\text{m}.\) A \(100~\text{kN}\) force stretches it along its length. The stress produced and the elongation in the rod, respectively, are?
(Young’s modulus of structural steel is \(2.0\times 10^{11}~\text{Nm}^{-2}.)\)
1. \(3.18\times 10^{7}~\text{Nm}^{-2}~\text{and}~2.59~\text{mm}\)
2. \(3.18\times 10^{8}~\text{Nm}^{-2}~\text{and}~1.59~\text{m}\)
3. \(3.18\times 10^{8}~\text{Nm}^{-2}~\text{and}~1.59~\text{mm}\)
4. \(3.18\times 10^{7}~\text{Nm}^{-2}~\text{and}~2.59~\text{m}\)
(Young’s modulus of structural steel is \(2.0\times 10^{11}~\text{Nm}^{-2}.)\)
1. \(3.18\times 10^{7}~\text{Nm}^{-2}~\text{and}~2.59~\text{mm}\)
2. \(3.18\times 10^{8}~\text{Nm}^{-2}~\text{and}~1.59~\text{m}\)
3. \(3.18\times 10^{8}~\text{Nm}^{-2}~\text{and}~1.59~\text{mm}\)
4. \(3.18\times 10^{7}~\text{Nm}^{-2}~\text{and}~2.59~\text{m}\)
Subtopic: Hooke's Law |
69%
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