Transmission Of Heat Question 83

Question: A body of length 1m having cross sectional area 0.75m2 has heat flow through it at the rate of 6000 Joule/sec. Then find the temperature difference if $ K=200J{{m}^{-1}}{{K}^{-1}} $

[CPMT 2001]

Options:

A) 20°C

B) 40°C

C) 80°C

D) 100°C

Show Answer

Answer:

Correct Answer: B

Solution:

$ \frac{Q}{t}=\frac{KA\Delta \theta }{l} $

Therefore $ 6000=\frac{200\times 0.75\times \Delta \theta }{1} $ \ $ \Delta \theta =\frac{6000\times 1}{200\times 0.75}=40{}^\circ C $