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The two ends of a metal rod are maintain...

The two ends of a metal rod are maintained at temperatures `100^(@)C` and `110^(@)C`. The rate of heat flow in the rod is found to be `4.0" Js"^(-1)`. If the ends are maintained at temperatures `200^(@)C` and `210^(@)C`, the rate of heat flow will be :

A

`16.8" Js"^(-1)`

B

`8.0" Js"^(-1)`

C

`4.0" Js"^(-1)`

D

`44.0" Js"^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
C

From `H=kA((T_(1)-T_(2))/(L))`,
(i) `H_(1)kA((110-100)/(L))`
`H_(1)=10(kA)/(L)`
(ii) `H_(2)=kA((210-20)/(L))=10(kA)/(L)`
`:.H_(1)=H_(2)`
`:." Js"^(-1)=H_(2)`
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