Answer :
Final answer:
A body takes 5 minutes to cool down from 50 degrees Celsius to 40 degrees Celsius in the surroundings of temperature is d) 35 degrees Celsius.
Explanation:
To determine the correct answer, we need to calculate the cooling rate of the body under different surrounding temperatures.
The cooling rate can be calculated using Newton's Law of Cooling, which states that the rate of cooling of an object is directly proportional to the temperature difference between the object and its surroundings.
Let's calculate the cooling rate for each surrounding temperature:
Surrounding temperature: 20 degrees Celsius
The temperature difference is 50 - 20 = 30 degrees Celsius.
The body takes 5 minutes (300 seconds) to cool down by 10 degrees Celsius (from 50 to 40 degrees Celsius).
Therefore, the cooling rate is 10 degrees Celsius / 300 seconds = 0.0333 degrees Celsius per second.
Surrounding temperature: 25 degrees Celsius
The temperature difference is 50 - 25 = 25 degrees Celsius.
Using the same calculation as above, the cooling rate is 0.0333 degrees Celsius per second.
Surrounding temperature: 30 degrees Celsius
Temperature difference = 50 - 30 = 20 degrees Celsius.
Cooling rate = 0.0333 degrees Celsius per second.
Surrounding temperature: 35 degrees Celsius
Temperature difference = 50 - 35 = 15 degrees Celsius.
Cooling rate = 0.0333 degrees Celsius per second.
From the calculations, we can see that regardless of the surrounding temperature, the cooling rate remains constant at 0.0333 degrees Celsius per second. Therefore, the correct answer is d) 35 degrees Celsius.
This result can be explained by the fact that the cooling rate of an object is dependent on the temperature difference, rather than the absolute temperature of the surroundings. So, even though the surrounding temperature of 35 degrees Celsius is higher than the other options, the cooling rate is the same.
Learn more about Newton's Law of Cooling here:
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