GATE Exam > GATE Questions > A smaller sphere (1) of radius 50 mm is insi...
Start Learning for Free
A smaller sphere (1) of radius 50 mm is inside a larger sphere (2) of radius 100 mm. What will be the value of the radiation shape factor F22:
- a)3/4
- b)4/3
- c)1.0
- d)Zero
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A smaller sphere (1) of radius 50 mm is inside a larger sphere (2) of...
F11 = 0 and F12 = 1
F21 + F22 = 1
And A1.F12 = A2.F21.F21 = 0.25
It means F22 = 1 - 0.25 = 0.75
Most Upvoted Answer
A smaller sphere (1) of radius 50 mm is inside a larger sphere (2) of...
Explanation:
To find the value of the radiation shape factor F22, we need to consider the geometry of the two spheres and calculate the ratio of the areas.
Given:
Radius of smaller sphere (1) = 50 mm
Radius of larger sphere (2) = 100 mm
Calculation:
The radiation shape factor F22 represents the fraction of radiation emitted by sphere 1 that is intercepted by sphere 2.
The formula for the radiation shape factor F22 is given by:
F22 = A2 / A1
Where:
- A1 is the surface area of sphere 1
- A2 is the surface area of sphere 2
The surface area of a sphere can be calculated using the formula:
A = 4πr^2
Surface area of sphere 1:
A1 = 4π(50)^2
A1 = 4π(2500)
A1 = 10000π
Surface area of sphere 2:
A2 = 4π(100)^2
A2 = 4π(10000)
A2 = 40000π
Calculating the radiation shape factor:
F22 = A2 / A1
F22 = (40000π) / (10000π)
F22 = 4
Therefore, the value of the radiation shape factor F22 is 4.
However, none of the given options match the calculated value of 4. Therefore, the answer provided is incorrect and none of the options are correct.
Correct answer:
None of the given options are correct.
To find the value of the radiation shape factor F22, we need to consider the geometry of the two spheres and calculate the ratio of the areas.
Given:
Radius of smaller sphere (1) = 50 mm
Radius of larger sphere (2) = 100 mm
Calculation:
The radiation shape factor F22 represents the fraction of radiation emitted by sphere 1 that is intercepted by sphere 2.
The formula for the radiation shape factor F22 is given by:
F22 = A2 / A1
Where:
- A1 is the surface area of sphere 1
- A2 is the surface area of sphere 2
The surface area of a sphere can be calculated using the formula:
A = 4πr^2
Surface area of sphere 1:
A1 = 4π(50)^2
A1 = 4π(2500)
A1 = 10000π
Surface area of sphere 2:
A2 = 4π(100)^2
A2 = 4π(10000)
A2 = 40000π
Calculating the radiation shape factor:
F22 = A2 / A1
F22 = (40000π) / (10000π)
F22 = 4
Therefore, the value of the radiation shape factor F22 is 4.
However, none of the given options match the calculated value of 4. Therefore, the answer provided is incorrect and none of the options are correct.
Correct answer:
None of the given options are correct.
|
Explore Courses for GATE exam
|
|
A smaller sphere (1) of radius 50 mm is inside a larger sphere (2) of radius 100 mm. What will be the value of the radiation shape factor F22:a)3/4b)4/3c)1.0d)ZeroCorrect answer is option 'A'. Can you explain this answer?
Question Description
A smaller sphere (1) of radius 50 mm is inside a larger sphere (2) of radius 100 mm. What will be the value of the radiation shape factor F22:a)3/4b)4/3c)1.0d)ZeroCorrect answer is option 'A'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A smaller sphere (1) of radius 50 mm is inside a larger sphere (2) of radius 100 mm. What will be the value of the radiation shape factor F22:a)3/4b)4/3c)1.0d)ZeroCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A smaller sphere (1) of radius 50 mm is inside a larger sphere (2) of radius 100 mm. What will be the value of the radiation shape factor F22:a)3/4b)4/3c)1.0d)ZeroCorrect answer is option 'A'. Can you explain this answer?.
A smaller sphere (1) of radius 50 mm is inside a larger sphere (2) of radius 100 mm. What will be the value of the radiation shape factor F22:a)3/4b)4/3c)1.0d)ZeroCorrect answer is option 'A'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A smaller sphere (1) of radius 50 mm is inside a larger sphere (2) of radius 100 mm. What will be the value of the radiation shape factor F22:a)3/4b)4/3c)1.0d)ZeroCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A smaller sphere (1) of radius 50 mm is inside a larger sphere (2) of radius 100 mm. What will be the value of the radiation shape factor F22:a)3/4b)4/3c)1.0d)ZeroCorrect answer is option 'A'. Can you explain this answer?.
Solutions for A smaller sphere (1) of radius 50 mm is inside a larger sphere (2) of radius 100 mm. What will be the value of the radiation shape factor F22:a)3/4b)4/3c)1.0d)ZeroCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of A smaller sphere (1) of radius 50 mm is inside a larger sphere (2) of radius 100 mm. What will be the value of the radiation shape factor F22:a)3/4b)4/3c)1.0d)ZeroCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A smaller sphere (1) of radius 50 mm is inside a larger sphere (2) of radius 100 mm. What will be the value of the radiation shape factor F22:a)3/4b)4/3c)1.0d)ZeroCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A smaller sphere (1) of radius 50 mm is inside a larger sphere (2) of radius 100 mm. What will be the value of the radiation shape factor F22:a)3/4b)4/3c)1.0d)ZeroCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A smaller sphere (1) of radius 50 mm is inside a larger sphere (2) of radius 100 mm. What will be the value of the radiation shape factor F22:a)3/4b)4/3c)1.0d)ZeroCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A smaller sphere (1) of radius 50 mm is inside a larger sphere (2) of radius 100 mm. What will be the value of the radiation shape factor F22:a)3/4b)4/3c)1.0d)ZeroCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice GATE tests.
|
|
Explore Courses for GATE exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup