Question:

A body cools down from \(75^\circ C\) to \(65^\circ C\) in 10 minutes. It will cool down from \(65^\circ C\) to \(55^\circ C\) in a time

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When the temperature gap decreases, the cooling rate drops — so it takes longer to cool through the same interval.
Updated On: May 17, 2025
  • 10 minutes
  • Less than 10 minutes
  • More than 10 minutes
  • Less than or more than 10 minutes depending on its mass
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The Correct Option is C

Solution and Explanation

According to Newton’s Law of Cooling, the rate of cooling is proportional to the difference between the object's temperature and the surrounding temperature. \[ \frac{dT}{dt} \propto (T - T_{\text{env}}) \] As the object cools down, the temperature difference with the surroundings decreases, so the rate of cooling becomes slower. Therefore, cooling from \(65^\circ C\) to \(55^\circ C\) will take more time than cooling from \(75^\circ C\) to \(65^\circ C\), assuming constant surrounding temperature.
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