What is atomic radius of an element if it crystallises in BCC structure with edge length of unit cell 287 pm ?

What is atomic radius of an element if it crystallises in BCC structure with edge length of unit cell 287 pm ?
  1. 124 pm
  2. 131 pm
  3. 137 pm
  4. 174 pm

Solution

For bec unit cell, $4 r=\sqrt{3} a$ $\therefore \quad r=\frac{\sqrt{3}}{4} a=\frac{1.732 \times 287}{4}=124 \mathrm{pm}$

Asked in: MHT CET 2024 (11 May Shift 2)

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