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A horizontal steel railroad track has a ...

A horizontal steel railroad track has a length of 100 m when the temperature is `25^(@)C`. The track is constrained from expanding or bending. The stress on the strack on a hot summer day, when the temperature is `40^(@)C`, is (Note : the linear coefficient of thermal expansion for steel is `1.1xx10^(-5)//.^(@)C` and the Young's modulus of steel is `2xx10^(11)` Pa)

A

`6.6xx10^7` pa

B

`8.8xx10^7` pa

C

`3.3xx10^7` pa

D

`5.5xx10^7` pa

Text Solution

Verified by Experts

The correct Answer is:
C
`F/A=gamma alpha Delta T=2xx10^(11)xx1.1xx10^(-5)xx15 implies 3.3xx 10^7` Pa
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