MHT CET 2025 Mathematics question
The rate at which a substance cools in moving air, is proportional to the difference between the temperature of the substance and that of air. The temperature of air is 290 K and the substance cools from 370 K to 330 K in 10 minutes. Then the time to cool the substance upto 295 K is
Answer: (A)
Solution
Newton's law: , so . At : . At : , so the excess temperature halves every 10 minutes. To reach 295 K the excess must be :
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