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Temperature difference of 120^(@)C is ma...

Temperature difference of `120^(@)C` is maintained between two ends of a uniform rod AB of length 2L. Another bent rod PQ, of same cross-section as AB and length`(3L)/(2)`, is connected across AB (See figure). In steady state, temperature difference between P and Q will be close to :

A

`45^(@)C`

B

`60^(@)C`

C

`35^(@)C`

D

`75^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
A
`R=1/k L/A`

`R_(eq)=(3R//2xxR)/(3R//2+R)+R=(3R)/5+R=(8R)/5`
`H=120/((8R//5))=75/r, T_(P)=T_(A)-75/R(R/2)`
`T_(Q)=T_(B)=75/R(R/2),T_(P)-T_(Q)=(T_(A)-T_(B))-72-120-75=45^(@)C`
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