The breaking stress in two wires of different materials \(A,B\) are in the ratio:    \(\frac{S_A}{S_B}=\frac12,\) while their radii are in the ratio:    \(\frac{r_A}{r_B}=\frac12.\) The tensions under which they break are \(T_A\) and \(T_B.\) Then \(\frac{T_A}{T_B}=\)?
1. \(2\)
2. \(\frac14\)
3. \(\frac18\)
4. \(\frac1{2\sqrt2}\)
Subtopic:  Stress - Strain |
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From NCERT
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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 \(L \over 3\) from the left end, is:
         
1. tensile, \(F \over 3A\)
2. compressive, \(F \over 3A\)
3. tensile, \(2F \over 3A\)
4. compressive, \(2F \over 3A\)
Subtopic:  Stress - Strain |
From NCERT
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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 cross-sectional area \(A\) of the wire is:
1. zero
2. \(\frac{2W}{A}\)
3. \(\frac{W}{A}\)
4. \(\frac{W}{2A}\)
Subtopic:  Stress - Strain |
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From NCERT
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 \(\cos^{-1}(\frac{1}{3})\) from the upward vertical

Subtopic:  Stress - Strain |
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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:  Stress - Strain |
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A mild steel wire of length \(\mathrm{2L}\) 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. \( \frac{x^2}{2 L^2} \)
2. \(\frac{x}{\mathrm{~L}} \)
3. \(\frac{x^2}{L}\)
4. \(\frac{x^2}{2L}\)

Subtopic:  Stress - Strain |
From NCERT
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