Select Chapter Topics:

1. zero

2. \(\frac{2W}{A}\)

3. \(\frac{W}{A}\)

4. \(\frac{W}{2A}\)

Subtopic: Stress - Strain |

65%

From NCERT

NEET - 2023

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The amount of elastic potential energy per unit volume (in SI unit) of a steel wire of length \(100\) cm to stretch it by \(1\) mm is: (Given: Young's modulus of the wire = \(2.0\times 10^{11}\) Nm^{-2})

1. | \(10^{11}\) | 2. | \(10^{17}\) |

3. | \(10^{7}\) | 4. | \(10^{5}\) |

Subtopic: Potential energy of wire |

62%

From NCERT

NEET - 2023

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If two identically shaped rods are joined end to end and compressive forces are applied to the system, the compressive strain will be:

1. | larger in the rod with a larger Young's modulus |

2. | larger in the rod with a smaller Young's modulus |

3. | equal in both the rods |

4. | negative in the rod with a smaller Young's modulus |

Subtopic: Young's modulus |

66%

From NCERT

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Given below are two statements:

Assertion (A): |
The stretching of a spring is determined by the shear modulus of the material of the spring. |

Reason (R): |
A coil spring of copper has more tensile strength than a steel spring of the same dimensions. |

1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |

2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |

3. | (A) is False but (R) is True. |

4. | (A) is True but (R) is False. |

Subtopic: Shear and bulk modulus |

From NCERT

NEET - 2022

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The elastic energy density in a stretched wire is:

1. (stress)^{2} × strain

2. stress × strain

3. \(\frac12\) × stress × strain

4. stress × (strain)^{2}

1. (stress)

2. stress × strain

3. \(\frac12\) × stress × strain

4. stress × (strain)

Subtopic: Potential energy of wire |

91%

From NCERT

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The breaking stress in two wires of different materials \(A,B\) are in the ratio: \(\frac{S_A}{S_B}=\frac12,\) while their radii are in the ratio: \(\frac{r_A}{r_B}=\frac12.\) The tensions under which they break are \(T_A\) and \(T_B.\) Then \(\frac{T_A}{T_B}=\)?

1. \(2\)

2. \(\frac14\)

3. \(\frac18\)

4. \(\frac1{2\sqrt2}\)

1. \(2\)

2. \(\frac14\)

3. \(\frac18\)

4. \(\frac1{2\sqrt2}\)

Subtopic: Stress - Strain |

74%

From NCERT

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A large cylindrical piece of a dense solid elastic metal stands on its end as shown in the figure. The metal is uniform and isotropic. The stress in the material as a function of height is shown correctly by:

1. | 2. |

3. | 4. |

Subtopic: Stress - Strain Curve |

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A uniform rod of mass \(m,\) having cross-section \(A\) is pushed along its length \((L)\) by means of a force of magnitude, \(F.\) There is no friction anywhere. Ignore the weight of the rod. The longitudinal stress in the rod, at a distance \(L \over 3\) from the left end, is:

1. | tensile, \(F \over 3A\) |

2. | compressive, \(F \over 3A\) |

3. | tensile, \(2F \over 3A\) |

4. | compressive, \(2F \over 3A\) |

Subtopic: Stress - Strain |

From NCERT

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A wire of cross-section \(A_{1}\) and length \(l_1\) breaks when it is under tension \(T_{1};\) a second wire made of the same material but of cross-section \(A_{2}\) and length \(l_2\) breaks under tension \(T_{2}.\) A third wire of the same material having cross-section \(A,\) length \(l\) breaks under tension \(\frac{T_1+T_2}{2}\). Then,

1. | \(A=\frac{A_1+A_2}{2},~l=\frac{l_1+l_2}{2}\) |

2. | \(l=\frac{l_1+l_2}{2}\) |

3. | \(A=\frac{A_1+A_2}{2}\) |

4. | \(A=\frac{A_1T_1+A_2T_2}{2(T_1+T_2)},~l=\frac{l_1T_1+l_2T_2}{2(T_1+T_2)}\) |

Subtopic: Young's modulus |

From NCERT

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When a metal wire elongates by hanging a load on it, the gravitational potential energy is decreased.

1. | this energy completely appears as the increased kinetic energy of the block |

2. | this energy completely appears as the increased elastic potential energy of the wire |

3. | this energy completely appears as heat |

4. | none of these |

Subtopic: Potential energy of wire |

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