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In a steady state of thermal conduction,...

In a steady state of thermal conduction, temperature of the ends A and B of a 20 cm long rod are `100^(@)C` and `0^(@)C` respectively. What will be the temperature of the rod at a point at a distance of 6 cm from the end A of the rod

A

`-30^(@)C`

B

`70^(@)C`

C

`5^(@)C`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Let temperature of C is `T^(@)C`
If k is thermal conductivity of rod and A be the area of crosssection,
`(KA(100-T))/(6)=(KA(T-0))/(14)`
`implies (100-T)/(6)=(T)/(14)`
`implies 1400 14T=6T`
`implies 20T=1400`
`implies T=70^(@)C`
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