Question

Given below are two statements labelled as Assertion (A) and Reason (R).
Assertion (A): The total number of atoms present in a simple cubic unit cell is one.
Reason (R): Simple cubic unit cell has atoms at its corners, each of which is shared between eight adjacent unit cells.

• A. Both A and R are true and R is the correct explanation of A
• B. Both A and R are true but R is not the correct explanation of A
• C. A is true but R is false
• D. A is false but R is true

Answer 1

The correct option is A Both A and R are true and R is the correct explanation of A

In simple cubic unit cell each atom is present al corners having contribution $1/8$. Hence, total number of atoms present per unit in scc is $\frac{1}{8}\times 8=1$
Thus, both Assertion and Reason are correct