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The increase in energy of a metal bar of length 'L' and cross-sectional area 'A' when compressed with a load 'M' along its length is ______. (Y = Young's modulus of the material of metal bar) -

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Question

The increase in energy of a metal bar of length 'L' and cross-sectional area 'A' when compressed with a load 'M' along its length is ______.

(Y = Young's modulus of the material of metal bar)

Options

  • `"FL"/(2"AY")`

  • `("F"^2"L")/(2"AY")`

  • `"FL"/"AY"`

  • `("F"^2"L"^2)/(2"AY")`

MCQ
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Solution

The increase in energy of a metal bar of length 'L' and cross-sectional area 'A' when compressed with a load 'M' along its length is `underlinebb(("F"^2"L")/(2"AY"))`.

(Y = Young's modulus of the material of metal bar)

Explanation:

∵ Y = `"FL"/"Al"`

∴ l`"FL"/"AY"`

Work done / increase in energy

= `("YAL"^2)/(2"L")`

= `("F"^2"L")/(2"AY")`

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