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JEE Main 2009
Exam
JEE Main
Year
2009
Subject
Chemistry
Chapter
Solid State

JEE Main 2009 · Chemistry · Solid State

Copper crystallizes in fcc with a unit cell length of 361 pm . What...

Copper crystallizes in fcc with a unit cell length of 361pm361 \mathrm{pm}. What is the radius of copper atom ?

Options

  1. A108pm108 \mathrm{pm}
  2. B127pm127 \mathrm{pm}
  3. C157 pm
  4. D181pm181 \mathrm{pm}

Correct answer

B. 127pm127 \mathrm{pm}

Step-by-step solution

For FCC, 2a=4r\sqrt{2} a=4 r (the atoms touches each other along the face- diagonal) r=2a4=2×3614=127pm\begin{aligned}& r=\frac{\sqrt{2} a}{4}=\frac{\sqrt{2} \times 361}{4}\\ & =127 \mathrm{pm} \end{aligned}
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