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 |
 73%
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 |
 66%
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 |
 73%
From NCERT
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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 |
 61%
From NCERT
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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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Hooke's law is applicable for:

1. elastic materials only 2. plastic materials only
3. elastomers only 4. all of these

Subtopic:  Hooke's Law |
 68%
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The stress-strain curves are drawn for two different materials \(X\) and \(Y.\) It is observed that the ultimate strength point and the fracture point are close to each other for material \(X\) but are far apart for material \(Y.\) We can say that the materials \(X\) and \(Y\) are likely to be (respectively):

1. ductile and brittle
2. brittle and ductile
3. brittle and plastic
4. plastic and ductile
Subtopic:  Stress - Strain Curve |
 81%
From NCERT
NEET - 2019
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The figure shows the strain-stress curve for a given material. What is Young’s modulus for this material?

     
1. \(7.5\times10^{11}~\text{Nm}^{-2}\)
2. \(7.5\times10^{10}~\text{Nm}^{-2}\)
3. \(7.5\times10^{9}~\text{Nm}^{-2}\)
4. \(7.5\times10^{-10}~\text{Nm}^{-2}\)

Subtopic:  Stress - Strain Curve |
 78%
From NCERT
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The stress-strain graphs for materials \(A\) and \(B\) are shown in the figure. Strength of material \(A\) is:
(The graphs are drawn to the same scale)

1. greater than material \(B\)
2. equal to material \(B\)
3. less than material \(B\)
4. insufficient data

Subtopic:  Stress - Strain Curve |
 72%
From NCERT
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