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There is some change in length when a 33...

There is some 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, is (The modulus of elasticity is `3 xx10^11 N m^-2` and the coefficient of linear expansion of steel is `1.1 xx10^-5//^@c`)

A

`20^@C`

B

`15^@C`

C

`10^@C`

D

`0^@C`

Text Solution

Verified by Experts

The correct Answer is:
C
Young's Modulus, `E=(Stress)/(strai n) =((fo rce)/(area))/((Deltal)/l)`
`3xx10^(11)=(330000/10^(-3))/((Deltal)/l)`
`therefore (Deltal)/l = 33000/10^(-3) xx 1/(3xx10^(11)) = 11xx10^(-5)`
Strain, `(Deltal)/l = propto DeltaT`
`11xx10^(-5)=1.1xx10^(-5)xxDeltaT`
`therefore DeltaT=10^@C`
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