A liquid cools from 50°C to 45°C in 5 minutes and from 45 to 41.5°C in the next 5 minutes. The temperature of the surrounding is
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a
27°C
b
40.3°C
c
23.3°C
d
33.3°C
answer is D.
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Detailed Solution
According to Newton's law of cooling msθ1−θ2t∝θ1+θ22−θ0where θ2= temperature of surroundings.In first case,ms50−455∝50+452−θ0 .....(1)In second case,ms45−41⋅55∝45+41⋅52−θ0 ....(2)Solving eqs, (1) and (2), we getθ0=33⋅3∘C