A bucket full of hot water is kept in room. If it cools from 75^ to 70^ in t_1 minute, from 70^ to 65^ in t_2 minute and 65^ to 60^ in t_3 minute, then

MHT CET 2024 Physics question

A bucket full of hot water is kept in room. If it cools from C to C in minute, from C to C in minute and C to C in minute, then

(A)Correct
(B)
(C)
(D)

Answer: (A)

Solution

By Newton's law of cooling the rate of fall of temperature is proportional to the excess of the body's temperature over the surroundings: . Each interval has the same temperature fall of C, so the time taken is inversely proportional to the average excess temperature. As the

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Question ID VK-099783