Transmission Of Heat Question 62

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

[MP PMT 1996]

Options:

A) $ 50^{o}C $

B) $ 60^{o}C $

C) $ 40^{o}C $

D) $ 30^{o}C $

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Answer:

Correct Answer: B

Solution:

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