A force $$F$$ is needed to break a copper wire having radius $$R.$$ The force needed to break a copper wire of radius $$2R$$ will be:

 1 $$F/2$$ 2 $$2F$$ 3 $$4F$$ 4 $$F/4$$
Subtopic:  Stress - Strain |
73%
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 × ${10}^{9}$ N/${\mathrm{m}}^{2}$. 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 ${A}_{1}=0.1$ $c{m}^{2}$ and brass wire of cross-sectional area ${A}_{2}=0.2$ $c{m}^{2}$. To have equal stress in both wires, ${\mathrm{T}}_{1}/{\mathrm{T}}_{2}$=?

 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 ${10}^{6}$ $N/{m}^{2}$ is required. If the density of the material is $3×{10}^{3}$ $kg/{m}^{3}$, 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 $\mathrm{\rho }$ is the density of the material of a wire and $\sigma$ is the breaking stress, the greatest length of the wire that can hang freely without breaking is:

1.$\frac{2}{\mathrm{\rho g}}$

2. $\frac{\mathrm{\rho }}{\mathrm{\sigma g}}$

3.$\frac{\mathrm{\rho g}}{2\mathrm{\sigma }}$

4. $\frac{\mathrm{\sigma }}{\mathrm{\rho g}}$

Subtopic:  Stress - Strain |
73%
From NCERT
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The breaking stress of a wire depends on:

 1 Length of the wire 2 Applied force 3 The material of the wire 4 Area of the cross-section of the wire

Subtopic:  Stress - Strain |
79%
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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.  $\frac{\mathrm{W}+{\mathrm{W}}_{1}}{\mathrm{A}}$

2.  $\frac{4\mathrm{W}+{\mathrm{W}}_{1}}{3\mathrm{A}}$

3.  $\frac{3\mathrm{W}+{\mathrm{W}}_{1}}{4\mathrm{A}}$

4.  $\frac{\frac{3}{4}\mathrm{W}+{\mathrm{W}}_{1}}{\mathrm{A}}$

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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