Question:
Given below are two statements:
Assertion (A): The reciprocal lattice of a fcc is a direct lattice of bc
C.
Reason (R): The reciprocal lattice of a bcc is a direct lattice of fc
C.
Given below are two statements:
Assertion (A): The reciprocal lattice of a fcc is a direct lattice of bc
C.
Reason (R): The reciprocal lattice of a bcc is a direct lattice of fc
C.
Assertion (A): The reciprocal lattice of a fcc is a direct lattice of bc
C.
Reason (R): The reciprocal lattice of a bcc is a direct lattice of fc
C.
Show Hint
Reciprocal lattice of fcc is bcc and reciprocal lattice of bcc is fcc.
Updated On: May 19, 2026
- Both A and R are correct and R is the correct explanation of A
- Both A and R are correct but R is not the correct explanation of A
- A is correct but R is not correct
- A is not correct but R is correct
Show Solution
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The Correct Option is B
Solution and Explanation
Concept:
Reciprocal lattices are important in crystallography and diffraction.
Step 1: Check Assertion.
The reciprocal lattice of face centered cubic lattice is body centered cubic lattice. \[ fcc \rightarrow bcc \] So, \[ A \text{ is correct} \]
Step 2: Check Reason.
The reciprocal lattice of body centered cubic lattice is face centered cubic lattice. \[ bcc \rightarrow fcc \] So, \[ R \text{ is also correct} \]
Step 3: Check explanation.
Reason gives the reverse reciprocal relation. It is correct, but it does not directly explain why the reciprocal lattice of fcc is bcc. \[ R \text{ is not the correct explanation of } A \] \[ \therefore \text{Correct Answer is (B)} \]
Reciprocal lattices are important in crystallography and diffraction.
Step 1: Check Assertion.
The reciprocal lattice of face centered cubic lattice is body centered cubic lattice. \[ fcc \rightarrow bcc \] So, \[ A \text{ is correct} \]
Step 2: Check Reason.
The reciprocal lattice of body centered cubic lattice is face centered cubic lattice. \[ bcc \rightarrow fcc \] So, \[ R \text{ is also correct} \]
Step 3: Check explanation.
Reason gives the reverse reciprocal relation. It is correct, but it does not directly explain why the reciprocal lattice of fcc is bcc. \[ R \text{ is not the correct explanation of } A \] \[ \therefore \text{Correct Answer is (B)} \]
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