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According to Newton’s law, the rate of cooling is proportional to the difference between the temperature of the body and the temperature of the air. If the temperature of the air is 20C and the body cools for 20 minutes from 100C to 60 , then the time will take for its temperature to drop to 30∘C is
  • a)
    30 minutes
  • b)
    40 minutes
  • c)
    60 minutes
  • d)
    80 minutes
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
According to Newton’s law, the rate of cooling is proportional t...
, an object at rest tends to stay at rest and an object in motion tends to stay in motion with the same speed and in the same direction unless acted upon by an external force.
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Community Answer
According to Newton’s law, the rate of cooling is proportional t...
Let T be the temperature of the body at time t and Tm=20∘C (the temperature of the air)
We have,

where k is the constant of proportionally and t is the time.
Thus,

The solution of differential equation Is


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According to Newton’s law, the rate of cooling is proportional to the difference between the temperature of the body and the temperature of the air. If the temperature of the air is 20C and the body cools for 20 minutes from 100C to 60 , then the time will take for its temperature to drop to 30C isa)30minutesb)40 minutesc)60minutesd)80 minutesCorrect answer is option 'C'. Can you explain this answer?
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According to Newton’s law, the rate of cooling is proportional to the difference between the temperature of the body and the temperature of the air. If the temperature of the air is 20C and the body cools for 20 minutes from 100C to 60 , then the time will take for its temperature to drop to 30C isa)30minutesb)40 minutesc)60minutesd)80 minutesCorrect answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about According to Newton’s law, the rate of cooling is proportional to the difference between the temperature of the body and the temperature of the air. If the temperature of the air is 20C and the body cools for 20 minutes from 100C to 60 , then the time will take for its temperature to drop to 30C isa)30minutesb)40 minutesc)60minutesd)80 minutesCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for According to Newton’s law, the rate of cooling is proportional to the difference between the temperature of the body and the temperature of the air. If the temperature of the air is 20C and the body cools for 20 minutes from 100C to 60 , then the time will take for its temperature to drop to 30C isa)30minutesb)40 minutesc)60minutesd)80 minutesCorrect answer is option 'C'. Can you explain this answer?.
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