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View factor of a large cylinder of 10 cm in radius and 60 cm in length from a coaxial smaller cylinder of 5 cm radius and the same length is 0.34. View factor of the larger cylinder of itself (concave inner surface) is 0.25. The view factor of the larger cylinder with respect to either annular end is
- a)0.17
- b)0.29
- c)0.33
- d)0.42
Correct answer is option 'B'. Can you explain this answer?
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View factor of a large cylinder of 10 cm in radius and 60 cm in length...
Given:
- Radius of larger cylinder (r1) = 10 cm
- Radius of smaller cylinder (r2) = 5 cm
- Length of both cylinders (L) = 60 cm
- View factor of larger cylinder with itself (F11) = 0.25
- View factor of larger cylinder with smaller cylinder (F12) = 0.34
To find:
- View factor of the larger cylinder with respect to either annular end (F1E)
Solution:
1. View factor of the larger cylinder with respect to the smaller cylinder:
To find the view factor of the larger cylinder with respect to the smaller cylinder, we can use the formula for view factor between two coaxial cylinders:
F12 = (1 / (2 * π * r1 * L)) * ln((r1 + r2) / (r1 - r2))
Substituting the given values, we have:
0.34 = (1 / (2 * π * 10 * 60)) * ln((10 + 5) / (10 - 5))
0.34 = (1 / (2 * π * 600)) * ln(15 / 5)
0.34 = (1 / (2 * π * 600)) * ln(3)
0.34 = (1 / (2 * π * 600)) * 1.0986
0.34 = 0.0058
This equation does not hold true, so there seems to be an error in the given values.
2. View factor of the larger cylinder with respect to either annular end:
Given that the view factor of the larger cylinder with itself is F11 = 0.25, we can use the principle of conservation of energy to find the view factor of the larger cylinder with respect to either annular end (F1E). Since the view factors of all surfaces surrounding a point must sum to 1, we have:
F11 + 2 * F1E = 1
Substituting the given value of F11, we have:
0.25 + 2 * F1E = 1
2 * F1E = 1 - 0.25
2 * F1E = 0.75
F1E = 0.75 / 2
F1E = 0.375
Therefore, the view factor of the larger cylinder with respect to either annular end is 0.375, which is not one of the given options. Hence, none of the options provided in the question is correct.
- Radius of larger cylinder (r1) = 10 cm
- Radius of smaller cylinder (r2) = 5 cm
- Length of both cylinders (L) = 60 cm
- View factor of larger cylinder with itself (F11) = 0.25
- View factor of larger cylinder with smaller cylinder (F12) = 0.34
To find:
- View factor of the larger cylinder with respect to either annular end (F1E)
Solution:
1. View factor of the larger cylinder with respect to the smaller cylinder:
To find the view factor of the larger cylinder with respect to the smaller cylinder, we can use the formula for view factor between two coaxial cylinders:
F12 = (1 / (2 * π * r1 * L)) * ln((r1 + r2) / (r1 - r2))
Substituting the given values, we have:
0.34 = (1 / (2 * π * 10 * 60)) * ln((10 + 5) / (10 - 5))
0.34 = (1 / (2 * π * 600)) * ln(15 / 5)
0.34 = (1 / (2 * π * 600)) * ln(3)
0.34 = (1 / (2 * π * 600)) * 1.0986
0.34 = 0.0058
This equation does not hold true, so there seems to be an error in the given values.
2. View factor of the larger cylinder with respect to either annular end:
Given that the view factor of the larger cylinder with itself is F11 = 0.25, we can use the principle of conservation of energy to find the view factor of the larger cylinder with respect to either annular end (F1E). Since the view factors of all surfaces surrounding a point must sum to 1, we have:
F11 + 2 * F1E = 1
Substituting the given value of F11, we have:
0.25 + 2 * F1E = 1
2 * F1E = 1 - 0.25
2 * F1E = 0.75
F1E = 0.75 / 2
F1E = 0.375
Therefore, the view factor of the larger cylinder with respect to either annular end is 0.375, which is not one of the given options. Hence, none of the options provided in the question is correct.
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View factor of a large cylinder of 10 cm in radius and 60 cm in length from a coaxial smaller cylinder of 5 cm radius and the same length is 0.34. View factor of the larger cylinder of itself (concave inner surface) is 0.25. The view factor of the larger cylinder with respect to either annular end is a)0.17b)0.29c)0.33d)0.42Correct answer is option 'B'. Can you explain this answer?
Question Description
View factor of a large cylinder of 10 cm in radius and 60 cm in length from a coaxial smaller cylinder of 5 cm radius and the same length is 0.34. View factor of the larger cylinder of itself (concave inner surface) is 0.25. The view factor of the larger cylinder with respect to either annular end is a)0.17b)0.29c)0.33d)0.42Correct answer is option 'B'. 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 View factor of a large cylinder of 10 cm in radius and 60 cm in length from a coaxial smaller cylinder of 5 cm radius and the same length is 0.34. View factor of the larger cylinder of itself (concave inner surface) is 0.25. The view factor of the larger cylinder with respect to either annular end is a)0.17b)0.29c)0.33d)0.42Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for View factor of a large cylinder of 10 cm in radius and 60 cm in length from a coaxial smaller cylinder of 5 cm radius and the same length is 0.34. View factor of the larger cylinder of itself (concave inner surface) is 0.25. The view factor of the larger cylinder with respect to either annular end is a)0.17b)0.29c)0.33d)0.42Correct answer is option 'B'. Can you explain this answer?.
View factor of a large cylinder of 10 cm in radius and 60 cm in length from a coaxial smaller cylinder of 5 cm radius and the same length is 0.34. View factor of the larger cylinder of itself (concave inner surface) is 0.25. The view factor of the larger cylinder with respect to either annular end is a)0.17b)0.29c)0.33d)0.42Correct answer is option 'B'. 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 View factor of a large cylinder of 10 cm in radius and 60 cm in length from a coaxial smaller cylinder of 5 cm radius and the same length is 0.34. View factor of the larger cylinder of itself (concave inner surface) is 0.25. The view factor of the larger cylinder with respect to either annular end is a)0.17b)0.29c)0.33d)0.42Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for View factor of a large cylinder of 10 cm in radius and 60 cm in length from a coaxial smaller cylinder of 5 cm radius and the same length is 0.34. View factor of the larger cylinder of itself (concave inner surface) is 0.25. The view factor of the larger cylinder with respect to either annular end is a)0.17b)0.29c)0.33d)0.42Correct answer is option 'B'. Can you explain this answer?.
Solutions for View factor of a large cylinder of 10 cm in radius and 60 cm in length from a coaxial smaller cylinder of 5 cm radius and the same length is 0.34. View factor of the larger cylinder of itself (concave inner surface) is 0.25. The view factor of the larger cylinder with respect to either annular end is a)0.17b)0.29c)0.33d)0.42Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
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