একটি বস্তকে ${80}^{\circ }C$তাপমাত্রা থেকে ${64}^{\circ }C$তাপমাত্রায় নামাতে 5 মিনিট এবং ${52}^{\circ }C$তাপমাত্রায় নামাতে 10 মিনিট সময়ের প্রয়োজন । পরিবেশের তাপমাত্রা কত ?

The correct answer is 16°C, which is derived using Newton's law of cooling. According to this law, the rate of change in temperature of an object is proportional to the difference between its temperature and the ambient temperature. The problem indicates that the temperature of the object decreases more quickly when the temperature difference from the environment is larger. When it is initially at 80°C and falls to 64°C in 5 minutes, the ambient temperature is closer to the final temperature than when it drops to 52°C in 10 minutes. By forming equations based on these two cooling periods and solving for the ambient temperature, we find it to be 16°C. Here’s a simple breakdown of how the process works:

    
• Initially, we have a higher temperature difference when cooling from 80°C to 64°C.
    
• This difference causes a faster cooling rate.
    
• As the object cools to lower temperatures, the rate decreases.
    
• The equations derived from these observations lead to the calculation of the ambient temperature.

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