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A steel rod (Y = 2.0xx10^(11) N//m^(2) a...

A steel rod `(Y = 2.0xx10^(11) N//m^(2)` and `alpha = 10^(-50) .^(0)C^(-1)`) of length `1m` and area of cross-section `1cm^(2)` is heated from `0^(@)C` to `200^(@)C` without being allowed to extended or bend. Then the tension produced in the rod is

A

`4xx10^(4)N`

B

`3xx10^(4)N`

C

`2xx10^(4)N`

D

`1xx10^(4)N`

Text Solution

Verified by Experts

The correct Answer is:
A
`T = Y (Delta L)/(L) xx A`
`T = 2xx10^(11) xx (2xx10^(-3))/(1) xx 10^(-4) = 4xx10^(4) N`
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