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There are two idential springs of copper...

There are two idential springs of copper and steel. They are stretched by equal forces. For which spring more work will have to be done?

Text Solution

Verified by Experts

We know that Young's modulus of steel is more than that of copper.
as , `Y=F/A xx l/(Delta l) or Delta l = (Fl)/(AY) so Delta l prop 1/Y`
`(Delta l_(cu))/(Delta l_(steel)) = (Y_(steel))/(Y_(cu)) gt 1 or Delta l_(cu) gt Delta l_(steel)`
Work done, `W= 1/2 F Delta l or W prop Delta l`
` [ :' ` F os constant]
so more work will have to be done on copper wire than that on steel wire.
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Knowledge Check

  • Assertion : identical springs of steel and copper are equally stretched. More work will be done on the steel spring. Reason : Steel is more elastic than copper.

    A
    (a) If both Assertion and Reason are true and the Reason is correct explanation of the Assertion.
    B
    (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
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  • Assertion : Identical springs of steel and copper are equally stretched. More work will be done on the steel spring. Reason : Steel is more elastic than copper

    A
    If both assertion and reason are true and the reason is the correct explanation of the assertion.
    B
    If both assertion and reason are true but reason is not the correct explanation of the assertion.
    C
    If assertion is true but reason is fa lse.
    D
    If the assertion and reason both are false.

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