In the steady state of conduction of rod AB of length 100 cm, the temperature at the ends A is `80^(@)C` and at B the temperature is `0^(@)C`. The temperature of the rod at the distance 60 cm from A is :

Options

A. `16^(@)C`
B. `32^(@)C`
C. `48^(@)C`
D. None of the above

Answer

B

Explanation

Here temperature gradient `(80-0)/(100)=0.8^(@)"C/cm"`.
Decrease in temperature for 60 cm length `=60xx0.8`
`=48^(@)C`.
`:.` Temp. at 60 cm from point `A=80^(@)C-48^(@)C=32^(@)C`.
Thus correct choice is (b).