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Consider two hot bodies B1 and B2 which have temperatures 100°C and 80°C respectively at t = 0. The temperature of the surroundings is 40°C. The ratio of the respective rates of cooling R1 and R2 of these two bodies at t = 0 will be
- a)R1 : R2 = 3 : 2
- b)R1 : R2 = 5 : 4
- c)R1 : R2 = 2 : 3
- d)R1 : R2 = 4 : 5
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Consider two hot bodies B1 and B2 which have temperatures 100°C and 8...
Given:
- Temperature of body B1 = 100°C
- Temperature of body B2 = 80°C
- Temperature of surroundings = 40°C
To find:
The ratio of the respective rates of cooling R1 and R2 of these two bodies at t = 0
Solution:
The rate of cooling of a body is directly proportional to the temperature difference between the body and its surroundings. Mathematically, it can be written as:
Rate of cooling ∝ (Temperature of body - Temperature of surroundings)
Let's calculate the rates of cooling for bodies B1 and B2 separately:
Rate of cooling for body B1:
Temperature difference between body B1 and its surroundings at t = 0: (100 - 40) = 60°C
Rate of cooling for body B1 at t = 0: R1 = k1 * 60 (where k1 is a constant)
Rate of cooling for body B2:
Temperature difference between body B2 and its surroundings at t = 0: (80 - 40) = 40°C
Rate of cooling for body B2 at t = 0: R2 = k2 * 40 (where k2 is a constant)
To find the ratio of R1 and R2, we can divide the two equations:
R1/R2 = (k1 * 60) / (k2 * 40)
Since the constants k1 and k2 are the same for both bodies, we can simplify the equation:
R1/R2 = 60/40
R1/R2 = 3/2
Therefore, the ratio of the respective rates of cooling R1 and R2 at t = 0 is:
R1 : R2 = 3:2
Answer: Option A
- Temperature of body B1 = 100°C
- Temperature of body B2 = 80°C
- Temperature of surroundings = 40°C
To find:
The ratio of the respective rates of cooling R1 and R2 of these two bodies at t = 0
Solution:
The rate of cooling of a body is directly proportional to the temperature difference between the body and its surroundings. Mathematically, it can be written as:
Rate of cooling ∝ (Temperature of body - Temperature of surroundings)
Let's calculate the rates of cooling for bodies B1 and B2 separately:
Rate of cooling for body B1:
Temperature difference between body B1 and its surroundings at t = 0: (100 - 40) = 60°C
Rate of cooling for body B1 at t = 0: R1 = k1 * 60 (where k1 is a constant)
Rate of cooling for body B2:
Temperature difference between body B2 and its surroundings at t = 0: (80 - 40) = 40°C
Rate of cooling for body B2 at t = 0: R2 = k2 * 40 (where k2 is a constant)
To find the ratio of R1 and R2, we can divide the two equations:
R1/R2 = (k1 * 60) / (k2 * 40)
Since the constants k1 and k2 are the same for both bodies, we can simplify the equation:
R1/R2 = 60/40
R1/R2 = 3/2
Therefore, the ratio of the respective rates of cooling R1 and R2 at t = 0 is:
R1 : R2 = 3:2
Answer: Option A
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Community Answer
Consider two hot bodies B1 and B2 which have temperatures 100°C and 8...
Initially at t = 0
Rate of cooling (R) ∝ Fall in temperature of body (θ - θ0)
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Consider two hot bodies B1 and B2 which have temperatures 100°C and 80°C respectively at t = 0. The temperature of the surroundings is 40°C. The ratio of the respective rates of cooling R1 and R2 of these two bodies at t = 0 will bea)R1 : R2 = 3 : 2b)R1 : R2 = 5 : 4c)R1 : R2 = 2 : 3d)R1 : R2 = 4 : 5Correct answer is option 'A'. Can you explain this answer?
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Consider two hot bodies B1 and B2 which have temperatures 100°C and 80°C respectively at t = 0. The temperature of the surroundings is 40°C. The ratio of the respective rates of cooling R1 and R2 of these two bodies at t = 0 will bea)R1 : R2 = 3 : 2b)R1 : R2 = 5 : 4c)R1 : R2 = 2 : 3d)R1 : R2 = 4 : 5Correct answer is option 'A'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Consider two hot bodies B1 and B2 which have temperatures 100°C and 80°C respectively at t = 0. The temperature of the surroundings is 40°C. The ratio of the respective rates of cooling R1 and R2 of these two bodies at t = 0 will bea)R1 : R2 = 3 : 2b)R1 : R2 = 5 : 4c)R1 : R2 = 2 : 3d)R1 : R2 = 4 : 5Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider two hot bodies B1 and B2 which have temperatures 100°C and 80°C respectively at t = 0. The temperature of the surroundings is 40°C. The ratio of the respective rates of cooling R1 and R2 of these two bodies at t = 0 will bea)R1 : R2 = 3 : 2b)R1 : R2 = 5 : 4c)R1 : R2 = 2 : 3d)R1 : R2 = 4 : 5Correct answer is option 'A'. Can you explain this answer?.
Consider two hot bodies B1 and B2 which have temperatures 100°C and 80°C respectively at t = 0. The temperature of the surroundings is 40°C. The ratio of the respective rates of cooling R1 and R2 of these two bodies at t = 0 will bea)R1 : R2 = 3 : 2b)R1 : R2 = 5 : 4c)R1 : R2 = 2 : 3d)R1 : R2 = 4 : 5Correct answer is option 'A'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Consider two hot bodies B1 and B2 which have temperatures 100°C and 80°C respectively at t = 0. The temperature of the surroundings is 40°C. The ratio of the respective rates of cooling R1 and R2 of these two bodies at t = 0 will bea)R1 : R2 = 3 : 2b)R1 : R2 = 5 : 4c)R1 : R2 = 2 : 3d)R1 : R2 = 4 : 5Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider two hot bodies B1 and B2 which have temperatures 100°C and 80°C respectively at t = 0. The temperature of the surroundings is 40°C. The ratio of the respective rates of cooling R1 and R2 of these two bodies at t = 0 will bea)R1 : R2 = 3 : 2b)R1 : R2 = 5 : 4c)R1 : R2 = 2 : 3d)R1 : R2 = 4 : 5Correct answer is option 'A'. Can you explain this answer?.
Solutions for Consider two hot bodies B1 and B2 which have temperatures 100°C and 80°C respectively at t = 0. The temperature of the surroundings is 40°C. The ratio of the respective rates of cooling R1 and R2 of these two bodies at t = 0 will bea)R1 : R2 = 3 : 2b)R1 : R2 = 5 : 4c)R1 : R2 = 2 : 3d)R1 : R2 = 4 : 5Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for NEET.
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Consider two hot bodies B1 and B2 which have temperatures 100°C and 80°C respectively at t = 0. The temperature of the surroundings is 40°C. The ratio of the respective rates of cooling R1 and R2 of these two bodies at t = 0 will bea)R1 : R2 = 3 : 2b)R1 : R2 = 5 : 4c)R1 : R2 = 2 : 3d)R1 : R2 = 4 : 5Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Consider two hot bodies B1 and B2 which have temperatures 100°C and 80°C respectively at t = 0. The temperature of the surroundings is 40°C. The ratio of the respective rates of cooling R1 and R2 of these two bodies at t = 0 will bea)R1 : R2 = 3 : 2b)R1 : R2 = 5 : 4c)R1 : R2 = 2 : 3d)R1 : R2 = 4 : 5Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Consider two hot bodies B1 and B2 which have temperatures 100°C and 80°C respectively at t = 0. The temperature of the surroundings is 40°C. The ratio of the respective rates of cooling R1 and R2 of these two bodies at t = 0 will bea)R1 : R2 = 3 : 2b)R1 : R2 = 5 : 4c)R1 : R2 = 2 : 3d)R1 : R2 = 4 : 5Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Consider two hot bodies B1 and B2 which have temperatures 100°C and 80°C respectively at t = 0. The temperature of the surroundings is 40°C. The ratio of the respective rates of cooling R1 and R2 of these two bodies at t = 0 will bea)R1 : R2 = 3 : 2b)R1 : R2 = 5 : 4c)R1 : R2 = 2 : 3d)R1 : R2 = 4 : 5Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice NEET tests.
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