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NEET 2015
Exam
NEET
Year
2015
Subject
Chemistry
Chapter
Solid State

NEET 2015 · Chemistry · Solid State

A given metal crystallizes out with a cubic structure having edge...

A given metal crystallizes out with a cubic structure having edge length of 361 pm. If there are four metal atoms in one unit cell, what is the radius of one atom?

Options

  1. A40 pm
  2. B127 pm
  3. C80 pm
  4. D108 pm

Correct answer

B. 127 pm

Step-by-step solution

4 atoms in one unit cell is present in FCC

i.e. 4r=2⋅a4r = \sqrt{2} ⋅ a

r=2⋅a4=1.414×3614r = \dfrac{\sqrt{2} ⋅ a}{4} = 1.414 \times \dfrac{361}{4}

=127pm= 127pm
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