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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%

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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 |

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

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/m^{2} |
2. | \(4.8 \times10^3\) N/m^{2} |

3. | \(96 \times10^4\) N/m^{2} |
4. | \(3.5\times10^3\) N/m^{2} |

Subtopic: Stress - Strain |

66%

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

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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