# The temperature of hot and cold end of a 20 cm long rod in thermal steady state are at 100°C and 20°C respectively. Temperature at the centre of the rod is (1) 50°C                  (2) 60°                  (3) 40°                  (4) 30°C

Dear Student ,
$\frac{d\theta }{dx}=const\phantom{\rule{0ex}{0ex}}⇒\frac{100-{\theta }_{0}}{10}=\frac{100-0}{20}\phantom{\rule{0ex}{0ex}}⇒{\theta }_{0}=\frac{2000-1000}{20}=50°C$

Regards

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