The bulk modulus of rubber is $9.8\times {10}^{8}N/{m}^{2}$. 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%

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A vessel of \(1\times 10^{-3}\) m^{3} volume contains oil. When a pressure of \(1.2 \times10^5\) N/m^{2 }is applied on it, then volume decreases by \(0.3 \times 10^{-6}\) m^{3}. The bulk modulus of oil is:

1. | \(1 \times 10^6 \mathrm{~N} / \mathrm{m}^2 \) | 2. | \(2 \times 10^7 \mathrm{~N} / \mathrm{m}^2 \) |

3. | \(4 \times 10^8 \mathrm{~N} / \mathrm{m}^2 \) | 4. | \(6 \times 10^{10} \mathrm{~N} / \mathrm{m}^2\) |

Subtopic: Shear and bulk modulus |

87%

From NCERT

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The bulk modulus of water is $2\times {10}^{9}$ $\mathrm{N}/{\mathrm{m}}^{2}$. The increase in pressure required to decrease the volume of water sample by \(0.1\)% is:

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

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

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

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

Subtopic: Shear and bulk modulus |

84%

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A ball falling into a lake of depth 200 *m* shows a 0.1% decrease in its volume at the bottom. What is the bulk modulus of the material of the ball?

1. $19.6\times {10}^{8}N/{m}^{2}$

2. $19.6\times {10}^{-10}N/{m}^{2}$

3. $19.6\times {10}^{10}N/{m}^{2}$

4. $19.6\times {10}^{-8}N/{m}^{2}$

Subtopic: Shear and bulk modulus |

81%

From NCERT

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The volume contraction of a solid copper cube, 10 cm on an edge, when subjected to a hydraulic pressure of \(7.0\times10^6\) Pa is: (Bulk modulus of copper is $140\times {10}^{9}$ $\mathrm{Pa}$.)

1. \( 3.1 \times 10^{-2} \mathrm{~m}^3 \)

2. \(9.1 \times 10^{-3} \mathrm{~cm}^3 \)

3. \(5.0 \times 10^{-2} \mathrm{~cm}^3 \)

4. \(7.9 \times 10^{-2} \mathrm{~cm}^3\)$$

Subtopic: Shear and bulk modulus |

81%

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The edge of an aluminium cube is 10 cm long. One face of the cube is firmly fixed to a vertical wall. A mass of 100 kg is then attached to the opposite face of the cube. The shear modulus of aluminium is 25 GPa. What is the vertical deflection of this face?

$\mathrm{}$

1. 4.86×10^{-6}m

2. 3.92×10^{-7}m

3. 3.01×10^{-7}m

4. 6.36×10^{-7}m

Subtopic: Shear and bulk modulus |

66%

From NCERT

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The modulus of rigidity of the ideal liquid is:

1. | infinity |

2. | zero |

3. | unity |

4. | some finite small non-zero constant value |

Subtopic: Shear and bulk modulus |

66%

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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 cc

2. $4\times {10}^{-5}cc$

3. 0.025 cc

4. 0.004 cc

Subtopic: Shear and bulk modulus |

63%

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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 bulk modulus of a spherical object is B. If it is subjected to uniform pressure P, the fractional decrease in radius will be:

1. $\frac{P}{B}$

2. $\frac{B}{3P}$

3. $\frac{\mathrm{3P}}{B}$

4. $\frac{P}{3B}$

Subtopic: Shear and bulk modulus |

62%

From NCERT

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