Class 11 Exam > Class 11 Questions > If the temperature difference between the bod...
Start Learning for Free
If the temperature difference between the body and surrounding is small, then the rate of loss of heat is directly proportional to
- a)Temperature of two bodies
- b)Nature of two bodies
- c)Pressure difference of the body
- d)Size of the two bodies
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
If the temperature difference between the body and surrounding is smal...
The rate of loss of heat by a body is directly proportional to its excess temperature over that of the surroundings provided that this excess is small.
Most Upvoted Answer
If the temperature difference between the body and surrounding is smal...
Where are the two bodies and rate of loss of heat also depends on sigma( property of material)
Free Test
FREE
| Start Free Test |
Community Answer
If the temperature difference between the body and surrounding is smal...
Understanding the Stefan-Boltzmann Law
The Stefan-Boltzmann law describes how a perfect black body radiates energy. According to this law, the total energy radiated per unit area of a black body is directly proportional to the fourth power of its absolute temperature (T). This relationship can be expressed mathematically as:
Equation:
\[ E = \sigma T^4 \]
Where:
- **E** = Total energy radiated per unit area
- **σ** = Stefan-Boltzmann constant (approximately \(5.67 \times 10^{-8} \, W/m^2K^4\))
- **T** = Absolute temperature in Kelvin
Proportionality to Temperature
According to the law:
- The rate of energy radiation increases significantly with temperature.
- If the temperature doubles, the energy radiated increases by a factor of \(2^4 = 16\).
Physical Interpretation
- The fourth power dependency means that even small increases in temperature can result in large increases in emitted energy.
- For example, if a radiator's temperature rises from 300 K to 400 K, the energy emitted increases from \(300^4\) to \(400^4\), demonstrating the dramatic effect of temperature on thermal radiation.
Applications of the Law
- The Stefan-Boltzmann law is essential in fields such as astrophysics, climate science, and engineering.
- It helps in understanding stellar luminosity, the heating of planets, and the efficiency of thermal systems.
In summary, the Stefan-Boltzmann law emphasizes that the radiant energy per unit area of a perfect radiator is proportional to the fourth power of its temperature, making option 'D' the correct choice.
The Stefan-Boltzmann law describes how a perfect black body radiates energy. According to this law, the total energy radiated per unit area of a black body is directly proportional to the fourth power of its absolute temperature (T). This relationship can be expressed mathematically as:
Equation:
\[ E = \sigma T^4 \]
Where:
- **E** = Total energy radiated per unit area
- **σ** = Stefan-Boltzmann constant (approximately \(5.67 \times 10^{-8} \, W/m^2K^4\))
- **T** = Absolute temperature in Kelvin
Proportionality to Temperature
According to the law:
- The rate of energy radiation increases significantly with temperature.
- If the temperature doubles, the energy radiated increases by a factor of \(2^4 = 16\).
Physical Interpretation
- The fourth power dependency means that even small increases in temperature can result in large increases in emitted energy.
- For example, if a radiator's temperature rises from 300 K to 400 K, the energy emitted increases from \(300^4\) to \(400^4\), demonstrating the dramatic effect of temperature on thermal radiation.
Applications of the Law
- The Stefan-Boltzmann law is essential in fields such as astrophysics, climate science, and engineering.
- It helps in understanding stellar luminosity, the heating of planets, and the efficiency of thermal systems.
In summary, the Stefan-Boltzmann law emphasizes that the radiant energy per unit area of a perfect radiator is proportional to the fourth power of its temperature, making option 'D' the correct choice.
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
|
Explore Courses for Class 11 exam
|
|
Similar Class 11 Doubts
Top Courses for Class 11View all
If the temperature difference between the body and surrounding is small, then the rate of loss of heat is directly proportional toa)Temperature of two bodiesb)Nature of two bodiesc)Pressure difference of the bodyd)Size of the two bodiesCorrect answer is option 'A'. Can you explain this answer?
Question Description
If the temperature difference between the body and surrounding is small, then the rate of loss of heat is directly proportional toa)Temperature of two bodiesb)Nature of two bodiesc)Pressure difference of the bodyd)Size of the two bodiesCorrect answer is option 'A'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about If the temperature difference between the body and surrounding is small, then the rate of loss of heat is directly proportional toa)Temperature of two bodiesb)Nature of two bodiesc)Pressure difference of the bodyd)Size of the two bodiesCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the temperature difference between the body and surrounding is small, then the rate of loss of heat is directly proportional toa)Temperature of two bodiesb)Nature of two bodiesc)Pressure difference of the bodyd)Size of the two bodiesCorrect answer is option 'A'. Can you explain this answer?.
If the temperature difference between the body and surrounding is small, then the rate of loss of heat is directly proportional toa)Temperature of two bodiesb)Nature of two bodiesc)Pressure difference of the bodyd)Size of the two bodiesCorrect answer is option 'A'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about If the temperature difference between the body and surrounding is small, then the rate of loss of heat is directly proportional toa)Temperature of two bodiesb)Nature of two bodiesc)Pressure difference of the bodyd)Size of the two bodiesCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the temperature difference between the body and surrounding is small, then the rate of loss of heat is directly proportional toa)Temperature of two bodiesb)Nature of two bodiesc)Pressure difference of the bodyd)Size of the two bodiesCorrect answer is option 'A'. Can you explain this answer?.
Solutions for If the temperature difference between the body and surrounding is small, then the rate of loss of heat is directly proportional toa)Temperature of two bodiesb)Nature of two bodiesc)Pressure difference of the bodyd)Size of the two bodiesCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of If the temperature difference between the body and surrounding is small, then the rate of loss of heat is directly proportional toa)Temperature of two bodiesb)Nature of two bodiesc)Pressure difference of the bodyd)Size of the two bodiesCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If the temperature difference between the body and surrounding is small, then the rate of loss of heat is directly proportional toa)Temperature of two bodiesb)Nature of two bodiesc)Pressure difference of the bodyd)Size of the two bodiesCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for If the temperature difference between the body and surrounding is small, then the rate of loss of heat is directly proportional toa)Temperature of two bodiesb)Nature of two bodiesc)Pressure difference of the bodyd)Size of the two bodiesCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of If the temperature difference between the body and surrounding is small, then the rate of loss of heat is directly proportional toa)Temperature of two bodiesb)Nature of two bodiesc)Pressure difference of the bodyd)Size of the two bodiesCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If the temperature difference between the body and surrounding is small, then the rate of loss of heat is directly proportional toa)Temperature of two bodiesb)Nature of two bodiesc)Pressure difference of the bodyd)Size of the two bodiesCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup