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Three rods made of the same material and...

Three rods made of the same material and having same cross-section area but different length 10 cm, 20 cm and 30 cm are joined as shown. The temperature of the junction is

A

`10.8^(@)C`

B

`14.6^(@)C`

C

`16.4^(@)C`

D

`18.2^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
C
Let `theta` be the temperature of junction and `H_(1), H_(2) and H_(3)` the heat currents. Then

` H_(1) = H-(2)=H_(3)`
or `(30-theta)/((30/(KA))) = (theta-20)/((20/(KA))) + (theta-10)/((30/(KA)))`
or `2(30-theta)= 3(theta-20)+ 3(2theta-20)`
or `theta = 16.36^(@)C~~ 16.4^(@)C`
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  17. A wall has two layers A and B, each made of different material. Both t...

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  18. A metal rod of length 2 m has cross sectional areas 2 A and A as shown...

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