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 |

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

1. *F*/2

2. 2*F*

3. 4*F*

4. *F*/4

Subtopic: Stress - Strain |

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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 10^{8} N/m^{2}, what is the maximum load that the cable can support?

1. 7.06 x 10^{4} N

2. 5.03 x 10^{4} N

3. 1.09 x 10^{4} N

4. 17 x 10^{4} N

Subtopic: Stress - Strain |

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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. $0.46\times {10}^{-6}\mathrm{m}$

2. $0.46\times {10}^{-4}\mathrm{m}$

3. $0.46\times {10}^{8}\mathrm{m}$

4. $0.46\times {10}^{-11}\mathrm{m}$

Subtopic: Stress - Strain |

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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 ${A}_{1}=0.1c{m}^{2}$ and brass wire of cross-sectional area ${A}_{2}=0.2c{m}^{2}$. 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 |

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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 $3\times {10}^{3}kg/{m}^{3}$, 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

66%

Subtopic: Stress - Strain |

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A uniform wire of length 3m 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: (g = 10 ${\mathrm{ms}}^{-2}$)

1. 1.4 x ${10}^{4}\mathrm{N}/{\mathrm{m}}^{2}$

2. 4.8 x ${10}^{3}\mathrm{N}/{\mathrm{m}}^{2}$

3. 96 x ${10}^{4}\mathrm{N}/{\mathrm{m}}^{2}$

4. 3.5 x ${10}^{3}\mathrm{N}/{\mathrm{m}}^{2}$

67%

Subtopic: Stress - Strain |

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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 |

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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

80%

Subtopic: Stress - Strain |

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

67%

Subtopic: Stress - Strain |

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