Question

In a steady state the temperature of the ends A and B of a 20 cm long rod AB is 100${}^o$C and 0${}^o$C. The temperature at the point c distant 9 cm from a is :

• A. ${45}^o$C
• B. ${55}^o$C
• C. ${60}^o$C
• D. ${65}^o$C

Answer 1

The correct option is B ${55}^o$C

Temperature increasing per unit length $=\frac{100-0}{20}=5^{o}C/cm$

Temperature at $9cm$ from $a={100}^{o}C-(5^{o}C/cm\times 9cm)={55}^{o}C$