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Let a wire be suspended from the ceiling (rigid support) and stretched by a weight \(W\) attached at its free end. The longitudinal stress at any point of cross-sectional area \(A\) of the wire is:

1. zero

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

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

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

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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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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A wire of length \(L\), area of cross section \(A\) is hanging from a fixed support. The length of the wire changes to \(\mathrm{L}_1\)when mass \(M\) is suspended from its free end. The expression for Young's modulus is:

1. | \(\frac{{Mg(L}_1-{L)}}{{AL}}\) | 2. | \(\frac{{MgL}}{{AL}_1}\) |

3. | \(\frac{{MgL}}{{A(L}_1-{L})}\) | 4. | \(\frac{{MgL}_1}{{AL}}\) |

Subtopic: Young's modulus |

78%

From NCERT

NEET - 2020

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When a block of mass \(M\) is suspended by a long wire of length \(L\), the length of the wire becomes (\(L+l\)). The elastic potential energy stored in the extended wire is:

1. \(\frac{1}{2}MgL\)

2. \(Mgl\)

3. \(MgL\)

4. \(\frac{1}{2}Mgl\)

Subtopic: Potential energy of wire |

69%

From NCERT

NEET - 2019

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The stress-strain curves are drawn for two different materials \(X\) and \(Y.\) It is observed that the ultimate strength point and the fracture point are close to each other for material \(X\) but are far apart for material \(Y.\) We can say that the materials \(X\) and \(Y\) are likely to be (respectively):

1. | ductile and brittle |

2. | brittle and ductile |

3. | brittle and plastic |

4. | plastic and ductile |

Subtopic: Stress - Strain Curve |

81%

From NCERT

NEET - 2019

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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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The bulk modulus of a spherical object is \(B.\) If it is subjected to uniform pressure \(P,\) the fractional decrease in radius is:

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

2. \(\frac{3P}{B}\)

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

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

Subtopic: Shear and bulk modulus |

68%

From NCERT

NEET - 2017

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Young’s modulus of steel is twice that of brass. Two wires of the same length and of the same area of cross-section, one of steel and another of brass, are suspended from the same roof. If we want the lower ends of the wires to be at the same level, then the weights added to the steel and brass wires must be in the ratio of:

1. \(1:2\)

2. \(2:1\)

3. \(4:1\)

4. \(1:1\)

Subtopic: Elasticity |

77%

From NCERT

NEET - 2015

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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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