Transmission Of Heat Question 187

Question: A body takes 5 minutes for cooling from $ 50^{o}C $ to $ 40^{o}C. $ Its temperature comes down to $ {{33.33}^{o}}C $ in next 5 minutes. Temperature of surroundings is

[MP PMT 2002]

Options:

A) $ 15^{o}C $

B) $ 20^{o}C $ [L1]

C) $ 25^{o}C $

D) $ 10^{o}C $

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Answer:

Correct Answer: B

Solution:

In first case $ \frac{50-40}{5}=K[ \frac{50+40}{2}-{\theta _{0}} ] $ ?.(i) In second case $ \frac{40-33.33}{5}=K[ \frac{40+33.33}{2}-\theta ] $ ?.(ii) By solving $ {\theta _{0}}=20^{o}C $ .