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A fixed volume of iron is drawn into a w...

A fixed volume of iron is drawn into a wire of length `l`. The extension produced in this wire by a constant force F is proportional to

A

`(1)/(l^(2))`

B

`(1)/(l)`

C

`l^(2)`

D

`l`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • Copper of fixed volume V is drawn into wire of length I. When this wire is subjected to a constant force F, the extension produced in the wire is Deltall. Which of the following graphs is a straight line ?

    A
    `Delta l` versus `1/l`
    B
    `Delta l` versus `l ^(2)`
    C
    `Delta l` versus `(1)/(l ^(2))`
    D
    `Delta l` versus l

  • A: Two wire A and B having equal cross sections made from the same material. The length of A is twice to the length of B, hence the increase in length of A is twice to the increase in length of B for a given same weight. R: Increase in length of wire proportional to its length for a given same length.

    A
    Both are true and the reason is the correct explanation of the assertion.
    B
    Both are true but the reason is not correct explanation of the assertion.
    C
    Assertion is true, but the reason is false.
    D
    Both assertion and reason are false.

  • If a wire is extended to a new length l, the work done is .........

    A
    `(YA (l -l'))/(l)`
    B
    `(YA (l -l' ) ^(2))/(l)`
    C
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    D
    `2 (YA)/(l) (l-l')^(2)`

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