- 1(current)
Q. No.The breaking stress in two wires of different materials \(A,B\) are in the ratio: \(\dfrac{S_A}{S_B}=\dfrac12,\) while their radii are in the ratio: \(\dfrac{r_A}{r_B}=\dfrac12.\) The tensions under which they break are \(T_A\) and \(T_B.\) Then \(\dfrac{T_A}{T_B}=\)?
| 1. | \(2\) | 2. | \(\dfrac14\) |
| 3. | \(\dfrac18\) | 4. | \(\dfrac1{2\sqrt2}\) |
Subtopic: Â Stress - Strain |
 72%
Level 2: 60%+
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A uniform rod of mass \(m,\) having cross-section \(A\) is pushed along its length \((L)\) by means of a force of magnitude, \(F.\) There is no friction anywhere. Ignore the weight of the rod. The longitudinal stress in the rod, at a distance \(\dfrac{L}{3}\) from the left end, is:
1. tensile, \(\dfrac{F}{3A}\)
2. compressive, \(\dfrac{F}{3A}\)
3. tensile, \(\dfrac{2F}{3A}\)
4. compressive, \(\dfrac{2F}{3A}\)
1. tensile, \(\dfrac{F}{3A}\)
2. compressive, \(\dfrac{F}{3A}\)
3. tensile, \(\dfrac{2F}{3A}\)
4. compressive, \(\dfrac{2F}{3A}\)
Subtopic: Â Stress - Strain |
Level 3: 35%-60%
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Let a wire be suspended from the ceiling (rigid support) and stretched by a weight \(W\) attached at its free end. The longitudinal stress at any point of the cross-sectional area \(A\) of the wire is:
| 1. | zero | 2. | \(\frac{2W}{A}\) |
| 3. | \(\frac{W}{A}\) | 4. | \(\frac{W}{2A}\) |
Subtopic: Â Stress - Strain |
 70%
Level 2: 60%+
NEET - 2023
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A heavy mass is attached to a thin wire and is whirled in a vertical circle. The wire is most likely to break:
| 1. | when the mass is at the highest point |
| 2. | when the mass is at the lowest point |
| 3. | when the wire is horizontal |
| 4. | at an angle of \(\cos^{-1}\left(\dfrac{1}{3}\right)\) from the upward vertical |
Subtopic: Â Stress - Strain |
 75%
Level 2: 60%+
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The maximum load a wire can withstand without breaking when its length is reduced to half of its original length, will:
1. be doubled
2. be halved
3. be four times
4. remain the same
Subtopic: Â Stress - Strain |
 61%
Level 2: 60%+
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A mild steel wire of length \(2L\) and cross-sectional area \(A\) is stretched, well within the elastic limit, horizontally between two pillars (figure). A mass \(m\) is suspended from the mid-point of the wire. Strain in the wire is:
| 1. | \( \dfrac{x^2}{2 L^2} \) | 2. | \(\dfrac{x}{\mathrm{~L}} \) |
| 3. | \(\dfrac{x^2}{L}\) | 4. | \(\dfrac{x^2}{2L}\) |
Subtopic: Â Stress - Strain |
Level 3: 35%-60%
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