The breaking stress of a wire depends upon:

1. material of the wire.
2. length of the wire.
3. radius of the wire.
4. shape of the cross-section.
Subtopic:  Stress - Strain |
 76%
From NCERT
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A steel cable with a radius of 1.5 cm supports a chairlift at a ski area. If the maximum stress is not to exceed 108 N/m2, what is the maximum load that the cable can support?
1. 7.06 x 104 N
2. 5.03 x 104 N
3. 1.09 x 104 N
4. 17 x 104 N

Subtopic:  Stress - Strain |
 76%
From NCERT
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The breaking stress of a wire going over a smooth pulley in the following question is 2 × 109 N/m2. What would be the minimum radius of the wire used if it is not to break?

    

1. \(0.46\times10^{-6}m\) 2. \(0.46\times10^{-4}m\)
3. \(0.46\times10^{8}m\) 4. \(0.46\times10^{-11}m\)

Subtopic:  Stress - Strain |
 72%
From NCERT
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A light rod of length 2m is suspended from the ceiling horizontally by means of two vertical wires of equal length. A weight W is hung from the light rod as shown in the figure. The rod is hung by means of a steel wire of cross-sectional area A1=0.1 cm2 and brass wire of cross-sectional area A2=0.2 cm2. To have equal stress in both wires, T1/T2=?

1. 1/3 2. 1/4
3. 4/3 4. 1/2
Subtopic:  Stress - Strain |
 74%
From NCERT
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To break a wire, a force of 106 N/m2 is required. If the density of the material is 3×103 kg/m3, then the length of the wire which will break by its own weight will be:

1. 34 m

2. 30 m

3. 300 m

4. 3 m

Subtopic:  Stress - Strain |
 62%
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A uniform wire of length \(3\) m and mass \(10\) kg is suspended vertically from one end and loaded at another end by a block of mass \(10\) kg. The radius of the cross-section of the wire is \(0.1\) m. The stress in the middle of the wire is: (Take \(g=10\) ms-2)

1. \(1.4 \times10^4\) N/m2 2. \(4.8 \times10^3\) N/m2
3. \(96 \times10^4\) N/m2 4. \(3.5\times10^3\) N/m2
Subtopic:  Stress - Strain |
 66%
From NCERT
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lf ρ is the density of the material of a wire and σ is the breaking stress, the greatest length of the wire that can hang freely without breaking is:

1.2ρg

2. ρσg

3.ρg2σ

4. σρg

Subtopic:  Stress - Strain |
 73%
From NCERT
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One end of a uniform wire of length L and of weight W is attached rigidly to a point in the roof and a weight W1 is suspended from its lower end. If A is the area of cross-section of the wire , the stress in the wire at a height 3L/4 from its lower end is:

1.  W+W1A

2.  4W+W13A

3.  3W+W14A

4.  34W+W1A

Subtopic:  Stress - Strain |
 70%
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A wire can sustain a weight of 10 kg before breaking. If the wire is cut into two equal parts, then each part can sustain a weight of:

1. 2.5 kg 2. 5 kg
3. 10 kg 4. 15 kg
Subtopic:  Stress - Strain |
 72%
From NCERT
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The length of an elastic string is \(a\) metre when the longitudinal tension is \(4\) N and \(b\) metre when the longitudinal tension is \(5\) N. The length of the string in metre when the longitudinal tension is \(9\) N will be:

1. \(a-b\) 2. \(5b-4a\)
3. \(2b-\frac{1}{4}a\) 4. \(4a-3b\)
Subtopic:  Hooke's Law |
 76%
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