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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 coolingθ1-θ2t =kθ1+θ22-θ0first case 4005=k600-300-----1second case 300t=k450-300----2dividing  830t=2 t=7.5 minutes
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