Ncert Exercises & Solutions

Select the correct option based on statements below:

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.

1.	Both (A) and (R) are true and (R) is the correct explanation of (A).
2.	Both (A) and (R) are true but (R) is not the correct explanation of (A).
3.	(A) is true but (R) is false.
4.	(A) is false but (R) is true.

HINT: In simple cubic cell, atoms are present only at corners.

Explanation: In simple cubic unit cell each atom is present at corners having contribution 1/8

Total number of atoms at corners = 8.

Thus, total number of atoms present per unit cell in SCC is \(\frac{1}{8}\times 8\) = 1.

So, both assertion and reason are true and the reason is correct explanation of assertion.

Hence, option 1 is the correct answer.

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