Steel and copper wires of the same length and area are stretched by the same weight one after the other. Young's modulus of steel and copper are \(2\times10^{11} ~\text{N/m}^2\) and \(1.2\times10^{11}~\text{N/m}^2\). The ratio of increase in length is:
1. | \(2 \over 5\) | 2. | \(3 \over 5\) |
3. | \(5 \over 4\) | 4. | \(5 \over 2\) |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology1. | \({AE} \frac{R}{r} \) | 2. | \(A E \left(\frac{R-r}{r}\right)\) |
3. | \(\frac{E}{A}\left(\frac{R-r}{A}\right)\) | 4. | \(\frac{Er}{AR}\) |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyIf the ratio of lengths, radii and Young's modulus of steel and brass wires in the figure are \(a,\) \(b\) and \(c\) respectively, then the corresponding ratio of increase in their lengths will be:
1. | 2. | ||
3. | 4. |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology1. | \(1:2\) | 2. | \(2:1\) |
3. | \(4:1\) | 4. | \(1:1\) |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyThe Young's modulus of a wire is numerically equal to the stress at a point when:
1. | The strain produced in the wire is equal to unity. |
2. | The length of the wire gets doubled. |
3. | The length increases by \(100\%.\) |
4. | All of these. |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyA metallic rope of diameter \(1~ \text{mm}\) breaks at \(10 ~\text{N}\) force. If the wire of the same material has a diameter of \(2~\text{mm}\), then the breaking force is:
1. | \(2.5~\text{N}\) | 2. | \(5~\text{N}\) |
3. | \(20~\text{N}\) | 4. | \(40~\text{N}\) |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyIn the CGS system, Young's modulus of a steel wire is \(2\times 10^{12}\) dyne/cm2. To double the length of a wire of unit cross-section area, the force required is:
1. \(4\times 10^{6}\) dynes
2. \(2\times 10^{12}\) dynes
3. \(2\times 10^{12}\) newtons
4. \(2\times 10^{8}\) dynes
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyThe area of cross-section of a wire of length \(1.1\) m is \(1\) mm2. It is loaded with mass of \(1\) kg. If Young's modulus of copper is \(1.1\times10^{11}\) N/m2, then the increase in length will be: (If \(g = 10~\text{m/s}^2)\)
1. | \(0.01\) mm | 2. | \(0.075\) mm |
3. | \(0.1\) mm | 4. | \(0.15\) mm |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyCopper of fixed volume \(V\) is drawn into a wire of length \(l.\) When this wire is subjected to a constant force \(F,\) the extension produced in the wire is \(\Delta l.\) Which of the following graphs is a straight line?
1. \(\Delta l ~\text{vs}~\frac{1}{l}\)
2. \(\Delta l ~\text{vs}~l^2\)
3. \(\Delta l ~\text{vs}~\frac{1}{l^2}\)
4. \(\Delta l ~\text{vs}~l\)
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology