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Three conducting rods of same material and cross-section are shown in figure. Temperatures of A,D and C are maintained at `20^(@)C, 90^(@)C and 0^(@)C`. The ratio of lengths BD and BC if there is no heat flow in AB is

A

`2/7`

B

`7/2`

C

`9/2`

D

`2/9`

Text Solution

Verified by Experts

The correct Answer is:
B
There will be no heat flow through AB, if temperature of B is also `20^(@)`C and heat current ini DB is equal to heat current in BC.

`therefore` `H_(DB) = H_(BC)`
or `(70)/(I_(BD)//KA) = 20/(I_(BC)//KA)` or `(I_(BD)/I_(BC)) = 7/2`
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