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Q.

A hot body obeying Newton’s law of cooling, cooling down from its peak value 800C to an ambient temperature of 300C. It takes 5 minutes in cooling down form  800C to  400C. How much time will it take to cool down from 600C to 300C

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a

3.75 minutes 

b

 8.6 minutes  

c

9.6 minutes 

d

 7.5 minutes

answer is D.

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Detailed Solution

 According to Newton's law of cooling

θ1-θ2t =kθ1+θ22-θ0

first case 4005=k600-300-----1

second case 300t=k450-300----2

dividing  830t=2 t=7.5 minutes

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