Q. No.| 1. | \(5.2\times10^{6}~\text{N/m}^{2}\) | 2. | \(6.2\times10^{6}~\text{N/m}^{2}\) |
| 3. | \(4.8\times10^{6}~\text{N/m}^{2}\) | 4. | \(3.1\times10^{6}~\text{N/m}^{2}\) |
| 1. | \({\dfrac{MgL}{\alpha Y}}\) | 2. | \({ \dfrac{MgL}{2\alpha Y}}\) |
| 3. | \({\dfrac{2MgL}{\alpha Y}}\) | 4. | \({ \dfrac{MgL}{4\alpha Y}}\) |
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The cross-sectional area \((A),\) length \((L)\) and Young's moduli \((Y)\) of the wires are related by: \(A_I=2A_{II}\\ L_I=2L_{II}\\ Y_I=2Y_{II}\)
The ratio of the stresses in the wires (wire \(\mathrm I\)/\(\mathrm{II}\)) is:
1. \(1\)
2. \(2\)
3. \(\dfrac12\)
4. \(4\)
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A uniform metallic wire is elongated by \(0.04\) m when subjected to a linear force \(F\). The elongation, if its length and diameter are doubled and subjected to the same force will be:
| 1. | \(1\) cm | 2. | \(2 \) cm |
| 3. | \(3\) cm | 4. | \(6\) cm |
(\(F=100\) N, \(A=10\) cm2, \(l=1\) m, \(Y=5\times10^{10}\) N/m2)
1. \(10^{-6}\) m
2. \(10^{-5}\) m
3. \(2\times10^{-6}\) m
4. \(2\times10^{-5}\) m
1. \(2.5\times10^{-3}\)
2. \(2.5\times10^{-4}\)
3. \(2.0\times10^{-3}\)
4. \(2.0\times10^{-4}\)
The breaking stress of a wire depends on:
| 1. | material of the wire |
| 2. | length of the wire |
| 3. | radius of the wire |
| 4. | shape of the cross-section |
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1. equal to that on \(A\)
2. sixteen times that on \(A\)
3. twice that on \(A\)
4. half that on \(A\)
A wire is suspended from the ceiling and stretched under the action of a weight \(F\) suspended from its other end. The force exerted by the ceiling on it is equal and opposite to the weight:
| (a) | Tensile stress at any cross-section \(A\) of the wire is \(F/A.\) |
| (b) | Tensile stress at any cross-section is zero. |
| (c) | Tensile stress at any cross-section \(A\) of the wire is \(2F/A.\) |
| (d) | Tension at any cross-section \(A\) of the wire is \(F.\) |
Choose the correct option from the given ones:
1. (a) and (b) only
2. (a) and (d) only
3. (b) and (c) only
4. (a) and (c) only
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| Column-I | Column-II | ||
| \(\mathrm{(a)}\) | \(F\) is increased | \(\mathrm{(p)}\) | \(\Delta l\) will increase |
| \(\mathrm{(b)}\) | \(l\) is increased | \(\mathrm{(q)}\) | stress will increase |
| \(\mathrm{(c)}\) | \(A\) is increased | \(\mathrm{(r)}\) | \(\Delta l\) will decrease |
| \(\mathrm{(d)}\) | \(Y\) is increased | \(\mathrm{(s)}\) | stress will decrease |
| 1. | \(\mathrm{(a)-r, (b)-p,q, (c)-r, (d)-s}\) |
| 2. | \(\mathrm{(a)-p,q, (b)-p, (c)-r,s (d)-r}\) |
| 3. | \(\mathrm{(a)-p, (b)-r, (c)-s, (d)-p}\) |
| 4. | \(\mathrm{(a)-r, (b)-s, (c)-p,q, (d)-p}\) |
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