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If the length of a wire is doubled, does...

If the length of a wire is doubled, does its Young's modulus change ? Explain.

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To determine whether the Young's modulus of a wire changes when its length is doubled, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Young's Modulus**: Young's modulus (Y) is defined as the ratio of stress to strain in a material. It is given by the formula: \[ Y = \frac{\text{Stress}}{\text{Strain}} ...
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Knowledge Check

  • If the length of a wire is doubled, then its Young's modulus

    A
    become double
    B
    become half
    C
    increases but becomes not exactly double
    D
    remains unchanged
  • Assertion: From the relation Y = (Fl)/(ADeltal) , we can say that, if length of a wire is doubled, its young's modulus of elasticity will also becomes two times. Reason : Modulus of elasticity is a material property.

    A
    If both Assertion and Reason are true and the Reason is correctn explanation of the Assertion.
    B
    If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
    C
    If Assertion is true, but the Reason is false.
    D
    If Assertion is false but the Reason is true.
  • A steel wire is stretched by 1 kg wt . If the radius of the wire is doubled, its Young's modulus will

    A
    remain unchanged
    B
    become half
    C
    become double
    D
    become four times
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    Assertion If length of a wire is halved, its Young's modulus of elasticity will become two times. Reason The ratio of longitudinal stress and longitudinal strain is called Young's modulus of elasticity.

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