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A crystal is made up of atoms X, Y and Z. Atoms X are in FCC packing. Y occupies all octahedral voids and Z occupies all tetrahedral voids. If all the atoms along two body diagonals are removed, the ratio of sum of effective number of atoms of Y and Z to the effective number of atoms of X is a:1, what is the value of “a”?
- a)1
- b)2
- c)3
- d)4
Correct answer is option 'B'. Can you explain this answer?
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A crystal is made up of atoms X, Y and Z. Atoms X are in FCC packing. ...
A?
First, let's consider the body diagonal of the FCC unit cell. Along this diagonal, there are four atoms of X. If we remove all of these atoms, we are left with a void that can be filled by two atoms of Y and one atom of Z. So the effective number of atoms of Y and Z along this diagonal is 2+1=3.
Next, let's consider the body diagonal that passes through the centers of two opposite faces of the FCC unit cell. Along this diagonal, there are eight atoms of X. If we remove all of these atoms, we are left with a void that can be filled by four atoms of Y and two atoms of Z. So the effective number of atoms of Y and Z along this diagonal is 4+2=6.
The ratio of the sum of effective number of atoms of Y and Z to the effective number of atoms of X is (3+6)/4 = 9/4.
Therefore, the value of a is 9 and the ratio is 9:1.
First, let's consider the body diagonal of the FCC unit cell. Along this diagonal, there are four atoms of X. If we remove all of these atoms, we are left with a void that can be filled by two atoms of Y and one atom of Z. So the effective number of atoms of Y and Z along this diagonal is 2+1=3.
Next, let's consider the body diagonal that passes through the centers of two opposite faces of the FCC unit cell. Along this diagonal, there are eight atoms of X. If we remove all of these atoms, we are left with a void that can be filled by four atoms of Y and two atoms of Z. So the effective number of atoms of Y and Z along this diagonal is 4+2=6.
The ratio of the sum of effective number of atoms of Y and Z to the effective number of atoms of X is (3+6)/4 = 9/4.
Therefore, the value of a is 9 and the ratio is 9:1.
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A crystal is made up of atoms X, Y and Z. Atoms X are in FCC packing. Y occupies all octahedral voids and Z occupies all tetrahedral voids. If all the atoms along two body diagonals are removed, the ratio of sum of effective number of atoms of Y and Z to the effective number of atoms of X is a:1, what is the value of “a”?a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer?
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A crystal is made up of atoms X, Y and Z. Atoms X are in FCC packing. Y occupies all octahedral voids and Z occupies all tetrahedral voids. If all the atoms along two body diagonals are removed, the ratio of sum of effective number of atoms of Y and Z to the effective number of atoms of X is a:1, what is the value of “a”?a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about A crystal is made up of atoms X, Y and Z. Atoms X are in FCC packing. Y occupies all octahedral voids and Z occupies all tetrahedral voids. If all the atoms along two body diagonals are removed, the ratio of sum of effective number of atoms of Y and Z to the effective number of atoms of X is a:1, what is the value of “a”?a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A crystal is made up of atoms X, Y and Z. Atoms X are in FCC packing. Y occupies all octahedral voids and Z occupies all tetrahedral voids. If all the atoms along two body diagonals are removed, the ratio of sum of effective number of atoms of Y and Z to the effective number of atoms of X is a:1, what is the value of “a”?a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer?.
A crystal is made up of atoms X, Y and Z. Atoms X are in FCC packing. Y occupies all octahedral voids and Z occupies all tetrahedral voids. If all the atoms along two body diagonals are removed, the ratio of sum of effective number of atoms of Y and Z to the effective number of atoms of X is a:1, what is the value of “a”?a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about A crystal is made up of atoms X, Y and Z. Atoms X are in FCC packing. Y occupies all octahedral voids and Z occupies all tetrahedral voids. If all the atoms along two body diagonals are removed, the ratio of sum of effective number of atoms of Y and Z to the effective number of atoms of X is a:1, what is the value of “a”?a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A crystal is made up of atoms X, Y and Z. Atoms X are in FCC packing. Y occupies all octahedral voids and Z occupies all tetrahedral voids. If all the atoms along two body diagonals are removed, the ratio of sum of effective number of atoms of Y and Z to the effective number of atoms of X is a:1, what is the value of “a”?a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer?.
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