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Coefficient of linear expansion of brass...

Coefficient of linear expansion of brass and steel rods are `alpha_(1)` and `alpha_(2)`. Length of brass and steel rods are `l_(1)` and `l_(2)` respectively. If `(l_(2) - l_(1))` is maintained same at all temperature, which one of the following relations holds good?

A

`alpha_(1)l_(2)=alpha_(2)l_(1)`

B

`alpha_(1)l_(2)^(2)=alpha_(2)l_(1)^(2)`

C

`alpha_(1)^(2)l_(2)=alpha_(2)^(2)l_(1)`

D

`alpha_(1)l_(1)=alpha_(2)l_(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
`Deltal_(1)=Deltal_(2)`
`l_(1)alpha_(1)DeltaT=l_(2)alpha_(2)DeltaTrArrl_(1)alpha_(1)=l_(2)alpha_(2)`
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Knowledge Check

  • The coefficient of linear expansion of brass and steel are alpha_(1)andalpha_(2) . If we take a brass rod of length l_(1) and steel rod of length l_(2) at 0^(@)c , their difference in length (l_(2)-l_(1)) will remain the same at a temperature if .

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    B
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