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To break a wire, a force of \(10^6~\text{N/m}^{2}\) is required. If the density of the material is \(3\times 10^{3}~\text{kg/m}^3,\) 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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The bulk modulus of water is \(2\times 10^{9}~\text{N/m}^2\)${\mathrm{}}^{}$. The increase in pressure required to decrease the volume of water sample by \(0.1\%\) is:

1. \(4 \times 10^{6}~\text{N/m}^2\)

2. \(2 \times 10^{6}~\text{N/m}^2\)

3. \(2 \times 10^{8}~\text{N/m}^2\)

4. \(8 \times 10^{6}~\text{N/m}^2\)

Subtopic: Shear and bulk modulus |

84%

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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 \(\frac{3L}{4}\) from its lower end is:

1. \(\frac{W+W_1}{A}\)

2. \(\frac{4W+W_1}{3A}\)

3. \(\frac{3W+W_1}{4A}\)

4. \(\frac{\frac{3}{4}W+W_1}{A}\)

Subtopic: Stress - Strain |

71%

From NCERT

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The length of elastic string, obeying Hooke's law is \(l_1\) metres when the tension is \(4~\text{N}\), and \(l_2\) metres when the tension is \(5~\text{N}\). The length in metres when the tension is \(0~\text{N}\) will be:

1. \(5l_1-4l_2\)

2. \(5l_2-4l_1\)

3. \(9l_1-8l_2\)

4. \(9l_2-8l_1\)

Subtopic: Hooke's Law |

64%

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Two wires are made of the same material and have the same volume. The first wire has a cross-sectional area \(A\) and the second wire has a cross-sectional area \(3A\). If the length of the first wire is increased by \(\Delta l\) on applying a force \(F\), how much force is needed to stretch the second wire by the same amount?

1. | \(9F\) | 2. | \(6F\) |

3. | \(4F\) | 4. | \(F\) |

Subtopic: Young's modulus |

76%

From NCERT

NEET - 2018

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Copper of fixed volume \(V\) is drawn into a wire of length \(l.\) When this wire is subjected to a constant force \(F,\) the extension produced in the wire is \(\Delta l.\) Which of the following graphs is a straight line?

1. \(\Delta l ~\text{vs}~\frac{1}{l}\)

2. \(\Delta l ~\text{vs}~l^2\)

3. \(\Delta l ~\text{vs}~\frac{1}{l^2}\)

4. \(\Delta l ~\text{vs}~l\)

Subtopic: Young's modulus |

70%

From NCERT

AIPMT - 2014

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Overall changes in volume and radius of a uniform cylindrical steel wire are \(0.2\%\) and \(0.002\%\) respectively when subjected to some suitable force. Longitudinal tensile stress acting on the wire is: \(\left(2.0\times 10^{11}~\text{Nm}^{-2}\right)\)

1. \(3.2\times 10^{11}~\text{Nm}^{-2}\)

2. \(3.2\times 10^{7}~\text{Nm}^{-2}\)

3. \(3.6\times 10^{9}~\text{Nm}^{-2}\)

4. \(3.9\times 10^{8}~\text{Nm}^{-2}\)

Subtopic: Young's modulus |

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A uniform cylinder rod of length \(L\), cross-sectional area \(A\) and Young's modulus \(Y\) is acted upon by the forces, as shown in the figure. The elongation of the rod is:

1. | $\frac{3FL}{5AY}$ | 2. | $\frac{2FL}{5AY}$ |

3. | $\frac{2FL}{8AY}$ | 4. | $\frac{8FL}{3AY}$ |

Subtopic: Young's modulus |

57%

From NCERT

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The density of metal at normal pressure is \(\rho\)$\mathrm{}$. lts density when it is subjected to an excess pressure \(P\) is \(\rho'\). lf \(B\) is the bulk modulus of the metal, the ratio \(\frac{ρ'}{\rho }\) is:

1. \(\frac{1}{1-\frac{p}{B}} \)

2. \(1+\frac{B}{P} \)

3. \(\frac{1}{1-\frac{B}{P}} \)

4. \(2+\frac{P}{B}\)

Subtopic: Shear and bulk modulus |

From NCERT

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The bulk modulus of rubber is \(9.8\times10^{8}~\text{N/m}^2\) To what depth a rubber ball be taken in a lake so that its volume is decreased by \(0.1\%\)?

1. | \(25\) m | 2. | \(100\) m |

3. | \(200\) m | 4. | \(500\) m |

Subtopic: Shear and bulk modulus |

87%

From NCERT

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