Mechanical Engineering Exam > Mechanical Engineering Questions > If (3 2 6) are the Miller indices of a plane,...
Start Learning for Free
If (3 2 6) are the Miller indices of a plane, the intercepts made by the plane on the three crystallographic axes are
- a)(a, b, c)
- b)(2a, 3b, c)
- c)(a, 2b, 3c)
- d)(2a, b, 3c)
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If (3 2 6) are the Miller indices of a plane, the intercepts made by t...
Intercepts made by a plane with Miller indices (h k l) on the crystallographic axes can be calculated as follows:
1. Take the reciprocal of each index: (1/h, 1/k, 1/l)
2. Simplify the ratios to the smallest whole numbers: (m, n, p)
3. The intercepts made by the plane on the three axes are (a/m, b/n, c/p)
Using this method, we can calculate the intercepts made by the plane with Miller indices (3 2 6) as follows:
1. Reciprocal of indices: (1/3, 1/2, 1/6)
2. Simplify ratios: (2, 3, 1)
3. Intercepts on axes: (a/2, b/3, c)
However, these intercepts are not in the same form as the options given in the question. We need to manipulate the ratios to match one of the options.
Option B has ratios of (2a, 3b, c), which can be obtained by multiplying the simplified ratios (2, 3, 1) by (a, b, 6c) respectively. This gives us:
(2, 3, 1) x (a, b, 6c) = (2a, 3b, 6c)
Dividing by 2 gives us the ratios in option B: (2a/2, 3b/2, 6c/2) = (a, 3b/2, 3c)
Therefore, option B is the correct answer.
1. Take the reciprocal of each index: (1/h, 1/k, 1/l)
2. Simplify the ratios to the smallest whole numbers: (m, n, p)
3. The intercepts made by the plane on the three axes are (a/m, b/n, c/p)
Using this method, we can calculate the intercepts made by the plane with Miller indices (3 2 6) as follows:
1. Reciprocal of indices: (1/3, 1/2, 1/6)
2. Simplify ratios: (2, 3, 1)
3. Intercepts on axes: (a/2, b/3, c)
However, these intercepts are not in the same form as the options given in the question. We need to manipulate the ratios to match one of the options.
Option B has ratios of (2a, 3b, c), which can be obtained by multiplying the simplified ratios (2, 3, 1) by (a, b, 6c) respectively. This gives us:
(2, 3, 1) x (a, b, 6c) = (2a, 3b, 6c)
Dividing by 2 gives us the ratios in option B: (2a/2, 3b/2, 6c/2) = (a, 3b/2, 3c)
Therefore, option B is the correct answer.
|
Explore Courses for Mechanical Engineering exam
|
|
Top Courses for Mechanical EngineeringView all
Question Description
If (3 2 6) are the Miller indices of a plane, the intercepts made by the plane on the three crystallographic axes area)(a, b, c)b)(2a, 3b, c)c)(a, 2b, 3c)d)(2a, b, 3c)Correct answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about If (3 2 6) are the Miller indices of a plane, the intercepts made by the plane on the three crystallographic axes area)(a, b, c)b)(2a, 3b, c)c)(a, 2b, 3c)d)(2a, b, 3c)Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If (3 2 6) are the Miller indices of a plane, the intercepts made by the plane on the three crystallographic axes area)(a, b, c)b)(2a, 3b, c)c)(a, 2b, 3c)d)(2a, b, 3c)Correct answer is option 'B'. Can you explain this answer?.
If (3 2 6) are the Miller indices of a plane, the intercepts made by the plane on the three crystallographic axes area)(a, b, c)b)(2a, 3b, c)c)(a, 2b, 3c)d)(2a, b, 3c)Correct answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about If (3 2 6) are the Miller indices of a plane, the intercepts made by the plane on the three crystallographic axes area)(a, b, c)b)(2a, 3b, c)c)(a, 2b, 3c)d)(2a, b, 3c)Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If (3 2 6) are the Miller indices of a plane, the intercepts made by the plane on the three crystallographic axes area)(a, b, c)b)(2a, 3b, c)c)(a, 2b, 3c)d)(2a, b, 3c)Correct answer is option 'B'. Can you explain this answer?.
Solutions for If (3 2 6) are the Miller indices of a plane, the intercepts made by the plane on the three crystallographic axes area)(a, b, c)b)(2a, 3b, c)c)(a, 2b, 3c)d)(2a, b, 3c)Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of If (3 2 6) are the Miller indices of a plane, the intercepts made by the plane on the three crystallographic axes area)(a, b, c)b)(2a, 3b, c)c)(a, 2b, 3c)d)(2a, b, 3c)Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If (3 2 6) are the Miller indices of a plane, the intercepts made by the plane on the three crystallographic axes area)(a, b, c)b)(2a, 3b, c)c)(a, 2b, 3c)d)(2a, b, 3c)Correct answer is option 'B'. Can you explain this answer?, a detailed solution for If (3 2 6) are the Miller indices of a plane, the intercepts made by the plane on the three crystallographic axes area)(a, b, c)b)(2a, 3b, c)c)(a, 2b, 3c)d)(2a, b, 3c)Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of If (3 2 6) are the Miller indices of a plane, the intercepts made by the plane on the three crystallographic axes area)(a, b, c)b)(2a, 3b, c)c)(a, 2b, 3c)d)(2a, b, 3c)Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If (3 2 6) are the Miller indices of a plane, the intercepts made by the plane on the three crystallographic axes area)(a, b, c)b)(2a, 3b, c)c)(a, 2b, 3c)d)(2a, b, 3c)Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
|
|
Explore Courses for Mechanical Engineering 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup