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Extension or strain of a wire under a given load

This type of question, asked 4 times: 28 Jul 2022, 24 Jan 2023, 6 Apr 2023, 9 Apr 2024. All 4 questions below, oldest first.

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  1. Question 1

    28 Jul 2022

    6
    The force required to stretch a wire of cross-section 1 cm21{\text{ }cm}^{2} to double its length will be: (Given Young's modulus of the wire =2×1011 N/m2= 2 \times10^{11}\text{ }N/m^{2} )

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  2. Question 2

    24 Jan 2023

    7
    A 100 m100\text{ }m long wire having cross-sectional area 6.25×10−4 m26.25 \times10^{- 4}{\text{ }m}^{2} and Young's modulus is 1010Nm−210^{10}Nm^{- 2} is subjected to a load of 250 N250\text{ }N, then the elongation in the wire will be:

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  3. Question 3

    6 Apr 2023

    27
    A steel rod has a radius of 20 mm20\text{ }mm. A force of 62.8kN62.8kN stretches it along its length. Young's modulus of steel is 2.0×10112.0 \times10^{11} N/m2N/m^{2}. The longitudinal strain produced in the wire is ___×10−5\_\_\_\times10^{- 5}

  4. Question 4

    9 Apr 2024

    27
    Two persons pull a wire towards themselves. Each person exerts a force of 200 N200\text{ }N on the wire. Young's modulus of the material of wire is 1×1011 N m−21 \times10^{11}\text{ }N{\text{ }m}^{- 2}. Original length of the wire is 2 m2\text{ }m and the area of cross section is 2 cm22{\text{ }cm}^{2}. The wire will extend in length by ___ μm\mu m.