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