Question

The temperature of hot and cold ends of a $20$cm long rod in thermal steady state are at 100${}^o$C and 20${}^o$C respectively. The temperature at the centre of the rod is

• A. ${30}^{o}C$
• B. ${40}^{o}C$
• C. ${50}^{o}C$
• D. ${60}^{o}C$

Answer 1

Answer: (D)

${60}^{o}C$

Temperature gradient$=\frac{100-20}{20}=4^{\circ }C/cm$
Temperature at centre $=100-(4\times 10)={60}^{\circ }C$