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There is same change in length when a ...

There is same change in length when a 33000 N tensile force is applied on a steel rod of area of cross-section `10^(-3)m^(2)` . The change of temperature required to produce the same elongation, if the steel rod is heated , if (The modulus of elasticity is ` 3xx10^(11) N//m^(2)` and the coefficient of linear expansion of steel is ` 11 xx 10^(-5) //^(@)C`).

A

`20^(@)`

B

`15^(@)`

C

`10^(@)`

D

`0^(@)`

Text Solution

Verified by Experts

(c) Modulus of elasticity =`("Force")/("Area")xx(l)/(Deltal)`
`3xx10^(11)=(33000)/(10^(-3))xx(l)/(Deltal)`
`(Deltal)/(l)=(33000)/(10^(-3))xx(1)/(3xx10^(11))`
Change in length, `(Deltal)/(l)=alphaDeltaT`
`11xx10^(-5)xx DeltaT`
`implies DeltaT=10K` or `10^(@)`C
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