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Chemistry · PYQ NEET UG 2020

हिन्दी

An element has a body centered cubic (bcc) structure with a cell edge of \( 288 \text{ pm} \). The atomic radius is _______.

  1. \( \frac{\sqrt{2}}{4} \times 288 \text{ pm} \)
  2. \( \frac{4}{\sqrt{3}} \times 288 \text{ pm} \)
  3. \( \frac{4}{\sqrt{2}} \times 288 \text{ pm} \)
  4. \( \frac{\sqrt{3}}{4} \times 288 \text{ pm} \)

Correct answer · Option 4

\( \frac{\sqrt{3}}{4} \times 288 \text{ pm} \)

Explanation

For bcc lattice, the relation between atomic radius \( r \) and edge length \( a \) is \( r = \frac{\sqrt{3}}{4}a \). Thus, \( r = \frac{\sqrt{3}}{4} \times 288 \text{ pm} \).
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