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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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DC PANDEY ENGLISH-CALORIMETRY AND HEAT TRANSFER-Check points 16.3
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  4. On heating one end of a rod the temperature of the whole rod will be u...

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  5. If the temperature difference on the two sides of a wall increases fro...

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  6. The thermal conductivity of a rod depends on

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  7. The unit of thermal conductivity is :

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  8. Wires A and B have have identical lengths and have circular cross-sect...

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  9. The end of two rods of different materials with their thermal conducti...

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  10. The length of the two rods made up of the same metal and having the sa...

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  11. Three rods made of the same material and having same cross-section are...

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  12. Two rods A and B are of equal lengths. Their ends of kept between the ...

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  13. Consider a compound slab consisting of two different material having e...

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  14. In a steady state of thermal conduction, temperature of the ends A and...

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  15. Three rods of same dimensions are arranged as shown in Fig. They have ...

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  16. Figure shows a copper rod joined to a steel rod. The rods have equal l...

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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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  19. A slab consists of two layers of different materials of the same thick...

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  20. Two rods of same length and transfer a given amount of heat 12 second,...

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