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NEET 2020
Exam
NEET
Year
2020
Subject
Chemistry
Chapter
Solid State

NEET 2020 · Chemistry · Solid State

An element has a body centered cubic (bcc) structure with a cell...

An element has a body centered cubic (bcc) structure with a cell edge of 288pm288pm. The atomic radius is

Options

  1. A24×288pm\dfrac{\sqrt{2}}{4} \times 288pm
  2. B43×288pm\dfrac{4}{\sqrt{3}} \times 288pm
  3. C32×288pm\dfrac{3}{\sqrt{2}} \times 288pm
  4. D34×288pm\dfrac{\sqrt{3}}{4} \times 288pm

Correct answer

D. 34×288pm\dfrac{\sqrt{3}}{4} \times 288pm

Step-by-step solution

Body-centered cubic (BCC) is the name given to a type of atom arrangement found in nature. A body-centered cubic unit cell structure consists of atoms arranged in a cube where each corner of the cube shares an atom and with one atom positioned at the center.
3a=4r\sqrt{3}a = 4r (for bcc lattice)
r=34×288pmr = \dfrac{\sqrt{3}}{4} \times 288pm
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