Transmission Of Heat Question 85

Question: A metal rod of length 2m has cross sectional areas 2A and A as shown in figure. The ends are maintained at temperatures 100°C and 70°C. The temperature at middle point C is

[CPMT 2000]

Options:

A) 80°C

B) 85°C

C) 90°C

D) 95°C

Show Answer

Answer:

Correct Answer: C

Solution:

Let q be temperature middle point C and in series rate of heat flow is same

Therefore $ K(2A)(100-\theta )=KA(\theta -70) $

Therefore $ 200-2\theta =\theta -70 $

Therefore $ 3\theta =270 $

Therefore $ \theta =90{}^\circ C $