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Two rods A and B of identical dimensions...

Two rods A and B of identical dimensions are at temperature `30^(@)C`. If A is heated upto `180^(@)C` and B `T^(@)C`, then new lengths are the same . If the ratio of the coefficients of linear expansion of A and B is 4:3,then the value of T is

A

`270^(@)C`

B

`200^(@)C`

C

`230^(@)C`

D

`250^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
C
`alpha _(A) = (Delta L )/(L (180^(@)C- 30^(@)C)), alpha_(B)=(Delta L )/(L (T^(@)C-30^(@) C))`
`(alpha _(A))/(alpha _(B))= ( T^(@) C - 30^(@)C)/(150^(@)C)implies 4xx 150^(@)C = 37^(@)C -90^(@)C =?T=230^(@) C.`
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