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If \(E\) is the energy stored per unit volume in a wire having \(Y\) as Young's modulus of the material, then the stress applied is:

1. \(\sqrt{2EY}\)

2. \(2\sqrt{EY}\)

3. \(\frac{1}{2}\sqrt{EY}\)

4. \(\frac{3}{2}\sqrt{EY}\)

Subtopic: Potential energy of wire |

86%

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The ratio of Young's modulus of the material of two wires is \(2:3\). If the same stress is applied on both, then the ratio of elastic energy per unit volume will be:

1. \(3:2\)

2. \(2:3\)

3. \(3:4\)

4. \(4:3\)

Subtopic: Potential energy of wire |

77%

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A ball falling into a lake of depth \(200~\text{m}\) shows a \(0.1\%\) decrease in its volume at the bottom. What is the bulk modulus of the material of the ball?

1. \(19.6\times 10^{8}~\text{N/m}^2\)

2. \(19.6\times 10^{-10}~\text{N/m}^2\)

3. \(19.6\times 10^{10}~\text{N/m}^2\)

4. \(19.6\times 10^{-8}~\text{N/m}^2\)

Subtopic: Shear and bulk modulus |

82%

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A uniform cube is subjected to volume compression. If each side is decreased by \(1\%\), then bulk strain is:

1. | \(0.01\) | 2. | \(0.06\) |

3. | \(0.02\) | 4. | \(0.03\) |

Subtopic: Shear and bulk modulus |

64%

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The compressibility of water is \(4\times 10^{-5}\) per unit atmospheric pressure. The decrease in volume of \(100\) cubic centimeter of water under a pressure of \(100\) atmosphere will be:

1. \(0.4~\text{cc}\)

2. \(4\times 10^{-5}~\text{cc}\)

3. \(0.025~\text{cc}\)

4. \(0.004~\text{cc}\)

Subtopic: Shear and bulk modulus |

63%

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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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A wire of negligible mass and length \(2\) m is stretched by hanging a \(20\) kg load to its lower end keeping its upper end fixed. If work done in stretching the wire is \(50\) J, then the strain produced in the wire will be:

1. \(0.5\)

2. \(0.1\)

3. \(0.4\)

4. \(0.25\)

Subtopic: Potential energy of wire |

63%

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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 |

78%

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The increase in the length of a wire on stretching is \(0.04\)%. If Poisson's ratio for the material of wire is \(0.5,\) then the diameter of the wire will:

1. | \(0.02\)%. | decrease by2. | \(0.01\)%. | decrease by

3. | \(0.04\)%. | decrease by4. | \(0.03\)%. | increase by

Subtopic: Poisson's Ratio |

73%

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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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