Consider black body radiation contained in a cavity whose walls are at temperature T. The radiation is in equilibrium with the walls of the cavity. If the temperature of the walls is increased to 2T and the radiation is allowed to come to equilibrium at the new temperature, the entropy of the radiation increases by a factor of:a)8b)16c)4d)2Correct answer is option 'A'. Can you explain this answer?

UGC NET Exam > UGC NET Questions > Consider black body radiation contained in a ...

Join the Discussion on the App

Consider black body radiation contained in a cavity whose walls are at temperature T. The radiation is in equilibrium with the walls of the cavity. If the temperature of the walls is increased to 2T and the radiation is allowed to come to equilibrium at the new temperature, the entropy of the radiation increases by a factor of:

a)
8
b)
16
c)
4
d)
2

Correct answer is option 'A'. Can you explain this answer?

FREE This question is part of

CSIR NET Physical Science Mock Test - 5

Attempt Test

Attempt this Test

Most Upvoted Answer

Consider black body radiation contained in a cavity whose walls are at...

Explanation:
When the radiation is in equilibrium with the walls of the cavity, it is in thermal equilibrium and the entropy is maximized. Let's consider the initial equilibrium state of the radiation at temperature T.

Step 1: Initial State
- The radiation is in thermal equilibrium with the walls of the cavity at temperature T.
- The entropy of the radiation in this state is S1.

Step 2: Increasing the Temperature of the Walls
- The temperature of the walls is increased to 2T.
- The radiation is allowed to come to equilibrium with the new temperature.
- The entropy of the radiation in this new equilibrium state is S2.

Step 3: Comparing Entropies
- We want to compare the entropies S1 and S2.
- Entropy is an extensive property, which means it is proportional to the amount of the system.
- When the temperature is doubled, the radiation can occupy twice as many energy levels, resulting in a doubling of the number of microstates available to the radiation.
- Since the entropy is proportional to the logarithm of the number of microstates, doubling the number of microstates will result in an increase in entropy by a factor of 2.

Step 4: Repeating the Process
- If we repeat the process and double the temperature again, the number of microstates will again double, leading to another factor of 2 increase in entropy.
- This process can be repeated until the temperature reaches 2T.

Step 5: Calculating the Total Increase in Entropy
- Since the process of doubling the temperature and increasing entropy can be repeated 3 times (T to 2T, 2T to 4T, and 4T to 8T), the total increase in entropy is given by (2^3) = 8.
- Therefore, the entropy of the radiation increases by a factor of 8 when the temperature of the walls is increased to 2T.

Hence, the correct answer is option 'A' - 8.

Answered by JKL Classes · View profile

Free Test

FREE

CSIR NET Physical Science Mock Test - 5
55 Ques | 180 Min

Start Free Test

View all free UGC NET tests

Community Answer

Consider black body radiation contained in a cavity whose walls are at...

For black body radiation energy is given as,

Where, σ is the Stefan's constant.
The entropy of the radiation is given as,

Now, the temperature of the walls is increased to 2T, from equation (1) entropy is,

From equation (1) and (2),

Share via Whatsapp

Attention UGC NET Students!

To make sure you are not studying endlessly, EduRev has designed UGC NET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UGC NET.

UGC NET Mock Test Series 2024

UGC NET Past Year Papers

Crash Course for UGC NET Education

Mathematical Reasoning and Aptitude for UGC NET

View all answers Start learning for free

< Previous Question Next Question >

Explore Courses for UGC NET exam

Similar UGC NET Doubts

Directions: Read the following passage and answer the given questions:Recently, India witnessed a severe power shortage due to high demand and the non-availability of adequate coal supply. An energy deficit of more than 100 million units has been recorded during the month of April 2022. Rajasthan, Haryana, Punjab, UP, Bihar, and Madhya Pradesh were the most affected states. India is the second largest country in terms of population, and the usage of electricity is increasing day by day. In todays India, electricity has reached even the remotest areas, and people are reaping its benefits. Electricity is critical to the overall development of society and the country, including technological development. However, technological advances require more electricity. The power requirement of many industries, such as railroads, agriculture, and domestic use, is increasing day by day.The advancement of technology and the resurgence of economic activity following the COVID-19 disruptions increased the demand for power. In April 2022, the average daily energy requirement increased to 4,512 million units, as opposed to 3,941 million units in April 2021, registering a growth of 14.5%. The use of electricity has increased in many industries, including railways, agriculture, and households. Indias thermal power plants are also running well below their capacity, which could have managed this demand increase by increasing thermal generation. To address the problem of the power crisis in India, there is a need to change our planning and policies from ones that mainly manage shortages to ones that are flexible. Policies should be formulated with a focus on long-term structural solutions that address delivery, financial viability, and a robust mechanism for resource planning. The focus should be on ensuring that power plants operate efficiently. To address power shortages, a strategic approach to the low-cost energy transition, such as renewable energy and opportunities for diversification in the energy mix, is critical. For long-term power security, greater attention should be paid to accelerating generation from renewable energy sources.Q. “The resurgence of economic activity,” implies

View answer

Directions: Read the following passage and answer the given questions:Recently, India witnessed a severe power shortage due to high demand and the non-availability of adequate coal supply. An energy deficit of more than 100 million units has been recorded during the month of April 2022. Rajasthan, Haryana, Punjab, UP, Bihar, and Madhya Pradesh were the most affected states. India is the second largest country in terms of population, and the usage of electricity is increasing day by day. In todays India, electricity has reached even the remotest areas, and people are reaping its benefits. Electricity is critical to the overall development of society and the country, including technological development. However, technological advances require more electricity. The power requirement of many industries, such as railroads, agriculture, and domestic use, is increasing day by day.The advancement of technology and the resurgence of economic activity following the COVID-19 disruptions increased the demand for power. In April 2022, the average daily energy requirement increased to 4,512 million units, as opposed to 3,941 million units in April 2021, registering a growth of 14.5%. The use of electricity has increased in many industries, including railways, agriculture, and households. Indias thermal power plants are also running well below their capacity, which could have managed this demand increase by increasing thermal generation. To address the problem of the power crisis in India, there is a need to change our planning and policies from ones that mainly manage shortages to ones that are flexible. Policies should be formulated with a focus on long-term structural solutions that address delivery, financial viability, and a robust mechanism for resource planning. The focus should be on ensuring that power plants operate efficiently. To address power shortages, a strategic approach to the low-cost energy transition, such as renewable energy and opportunities for diversification in the energy mix, is critical. For long-term power security, greater attention should be paid to accelerating generation from renewable energy sources.Q. Choose the most appropriate option that describes the meaning of the term ‘renewable energy’ as used in the passage.

View answer

Directions: Read the following passage and answer the given questions:Recently, India witnessed a severe power shortage due to high demand and the non-availability of adequate coal supply. An energy deficit of more than 100 million units has been recorded during the month of April 2022. Rajasthan, Haryana, Punjab, UP, Bihar, and Madhya Pradesh were the most affected states. India is the second largest country in terms of population, and the usage of electricity is increasing day by day. In todays India, electricity has reached even the remotest areas, and people are reaping its benefits. Electricity is critical to the overall development of society and the country, including technological development. However, technological advances require more electricity. The power requirement of many industries, such as railroads, agriculture, and domestic use, is increasing day by day.The advancement of technology and the resurgence of economic activity following the COVID-19 disruptions increased the demand for power. In April 2022, the average daily energy requirement increased to 4,512 million units, as opposed to 3,941 million units in April 2021, registering a growth of 14.5%. The use of electricity has increased in many industries, including railways, agriculture, and households. Indias thermal power plants are also running well below their capacity, which could have managed this demand increase by increasing thermal generation. To address the problem of the power crisis in India, there is a need to change our planning and policies from ones that mainly manage shortages to ones that are flexible. Policies should be formulated with a focus on long-term structural solutions that address delivery, financial viability, and a robust mechanism for resource planning. The focus should be on ensuring that power plants operate efficiently. To address power shortages, a strategic approach to the low-cost energy transition, such as renewable energy and opportunities for diversification in the energy mix, is critical. For long-term power security, greater attention should be paid to accelerating generation from renewable energy sources.Q. What are the causes of Indias severe electricity shortage?

View answer

The temperature variation of the resistivity of four materials are shown in the following graphs.The material that would make the most sensitive temperature sensor, when used at temperatures between T1and T2, is

View answer

In kinetic study of a chemical reaction, slopes are drawn at different times in the plot of concentra-tion of reactants versus time. The magnitude of slopes with increase of time

View answer

Top Courses for UGC NETView all

UGC NET Mock Test Series 2024

UGC NET Past Year Papers

Crash Course for UGC NET Education

Mathematical Reasoning and Aptitude for UGC NET

Teaching Aptitude for Teaching Exam

Top Courses for UGC NET

View all

Share with a Friend

Answer this doubt

Question Description
Consider black body radiation contained in a cavity whose walls are at temperature T. The radiation is in equilibrium with the walls of the cavity. If the temperature of the walls is increased to 2T and the radiation is allowed to come to equilibrium at the new temperature, the entropy of the radiation increases by a factor of:a)8b)16c)4d)2Correct answer is option 'A'. Can you explain this answer? for UGC NET 2024 is part of UGC NET preparation. The Question and answers have been prepared according to the UGC NET exam syllabus. Information about Consider black body radiation contained in a cavity whose walls are at temperature T. The radiation is in equilibrium with the walls of the cavity. If the temperature of the walls is increased to 2T and the radiation is allowed to come to equilibrium at the new temperature, the entropy of the radiation increases by a factor of:a)8b)16c)4d)2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for UGC NET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider black body radiation contained in a cavity whose walls are at temperature T. The radiation is in equilibrium with the walls of the cavity. If the temperature of the walls is increased to 2T and the radiation is allowed to come to equilibrium at the new temperature, the entropy of the radiation increases by a factor of:a)8b)16c)4d)2Correct answer is option 'A'. Can you explain this answer?.

Solutions for Consider black body radiation contained in a cavity whose walls are at temperature T. The radiation is in equilibrium with the walls of the cavity. If the temperature of the walls is increased to 2T and the radiation is allowed to come to equilibrium at the new temperature, the entropy of the radiation increases by a factor of:a)8b)16c)4d)2Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for UGC NET. Download more important topics, notes, lectures and mock test series for UGC NET Exam by signing up for free.

Here you can find the meaning of Consider black body radiation contained in a cavity whose walls are at temperature T. The radiation is in equilibrium with the walls of the cavity. If the temperature of the walls is increased to 2T and the radiation is allowed to come to equilibrium at the new temperature, the entropy of the radiation increases by a factor of:a)8b)16c)4d)2Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Consider black body radiation contained in a cavity whose walls are at temperature T. The radiation is in equilibrium with the walls of the cavity. If the temperature of the walls is increased to 2T and the radiation is allowed to come to equilibrium at the new temperature, the entropy of the radiation increases by a factor of:a)8b)16c)4d)2Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Consider black body radiation contained in a cavity whose walls are at temperature T. The radiation is in equilibrium with the walls of the cavity. If the temperature of the walls is increased to 2T and the radiation is allowed to come to equilibrium at the new temperature, the entropy of the radiation increases by a factor of:a)8b)16c)4d)2Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Consider black body radiation contained in a cavity whose walls are at temperature T. The radiation is in equilibrium with the walls of the cavity. If the temperature of the walls is increased to 2T and the radiation is allowed to come to equilibrium at the new temperature, the entropy of the radiation increases by a factor of:a)8b)16c)4d)2Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Consider black body radiation contained in a cavity whose walls are at temperature T. The radiation is in equilibrium with the walls of the cavity. If the temperature of the walls is increased to 2T and the radiation is allowed to come to equilibrium at the new temperature, the entropy of the radiation increases by a factor of:a)8b)16c)4d)2Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice UGC NET tests.

Explore Courses for UGC NET exam