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JEE PYQ: Solid State Question 17

Question 17 - 2019 (12 Apr Shift 2)

The ratio of number of atoms present in a simple cubic, body centered cubic and face centered cubic structure are, respectively:

(1) 8 : 1 : 6

(2) 1 : 2 : 4

(3) 4 : 2 : 1

(4) 4 : 2 : 3

Show Answer

Answer: (2)

Solution

Simple cubic: $\dfrac{1}{8} \times 8 = 1$. BCC: $\dfrac{1}{8} \times 8 + 1 \times 1 = 2$. FCC: $\dfrac{1}{8} \times 8 + \dfrac{1}{2} \times 6 = 4$. Ratio = 1 : 2 : 4.


Learning Progress: Step 17 of 23 in this series