Transmission Of Heat Question 188

Question: The temperature of a body falls from $ 50^{o}C $ to $ 40^{o}C $ in 10 minutes. If the temperature of the surroundings is $ 20^{o}C $ Then temperature of the body after another 10 minutes will be

[Pb. PMT 2002]

Options:

A) $ {{36.6}^{o}}C $

B) $ {{33.3}^{o}}C $

C) $ 35^{o}C $

D) $ 30^{o}C $

Show Answer

Answer:

Correct Answer: D

Solution:

In first case $ \frac{50-40}{10}=K[ \frac{50+40}{2}-20 ] $ ?.(i) In second case $ \frac{40-{\theta _{2}}}{10}=K[ \frac{40+{\theta _{2}}}{2}-20 ] $ ?.(ii) By solving $ {\theta _{2}}={{33.3}^{o}}C $ .