Question

A body cools in minutes from to . If the temperature of surrounding is , the temperature after next minutes will be :

A

B

C

D

None of these

Medium

Solution

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Correct option is D)

From newton's law of cooling

...(i)
integrating equation (i)

..(ii)
From given data in question in first minutes

...(iii)
Now the temperature decrease further due to temperature gradient
From given data in question in next minutes
applying equation (i)

...(iv)
substituting value of  from equation(iii)




Hence correct option is D

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