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Twelve conducting rods from the sides of...

Twelve conducting rods from the sides of a uniform cube of side l. If in steady state, `B` and `H` ends of the cube are at `100^(@)C` and `0^(@)C` respectively. Find the temperature of the junction `'A'` :-

A

`80^(@)C`

B

`60^(@)C`

C

`40^(@)C`

D

`70^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
B
For the cube , net resistance = `(5R)/(6)`
(Where `R`= thermal resistance of each side)
` H=(100-0)/(5R//6)`
For side `A`
`(H)/(3) = (100-theta_(A))/(R) implies theta_(A) = 60^(@)C`
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