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A copper wire of 1mm diameter is stret- ...

A copper wire of 1mm diameter is stret- ched by applying a forcre of 10 N. Find the stress in the wire.

Text Solution

Verified by Experts

Diameter, d=1mm
`therefore"radius,"r=0.5mmxx10^(-3)m`
`"Force,"F=10N`
`"Stress"=("Force")/("Area")=(F)/(pir^(2))`
`therefore"Stress"=(10)/(3.141xx0.5xx0.5xx10^(-6))`
`=(40xx10^(-6))/(3.141)=1.273xx1-^(7)"Pa"`
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Knowledge Check

  • A brass wire of diameter 1 mm and of length 2m is stretched by applying a force of 20N. Then the stress in the wire is

    A
    `2.546xx10^(7)N//m^(2)`
    B
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    C
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    D
    `2.246xx10^(7)N//m^(2)`

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    A
    2198 J
    B
    1049 J
    C
    4422 J
    D
    4521 J

  • When a copper wire of area of cross section 1 mm^(2) is stretched by a force of 10N. Then the work done per unit volume in stretching the wire is (Y=1.2xx10^(11)Nm^(-2))

    A
    `416.7Jm^(-3)`
    B
    `208.35Jm^(-3)`
    C
    `833.4 Jm^(-3)`
    D
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    A steel wire of 1 mm diameter and of length 1m is stretched by applying force of 10N. If the increase in length is 0.064mm, find (i) the stress, (ii) the strain and (iii) the Young.s modulus of the wire.

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