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JEE Main 201325 AprilOnline
Exam
JEE Main
Year
2013
Date
25 April
Mode
Online
Subject
Chemistry
Chapter
Solid State

JEE Main 2013 · 25 April · Online · Chemistry · Solid State

Copper crystallises in fcc with a unit length of 361 ~pm . What is...

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

Options

  1. A157 pm157 \mathrm{~pm}
  2. B128 pm128 \mathrm{~pm}
  3. C108 pm108 \mathrm{~pm}
  4. D181 pm181 \mathrm{~pm}

Correct answer

B. 128 pm128 \mathrm{~pm}

Step-by-step solution

For FCC, r=2a4=a22=0.3535ar=\frac{\sqrt{2} a}{4}=\frac{a}{2 \sqrt{2}}=0.3535 a given a=361 pma=361 \mathrm{~pm}r=0.3535×361=128 pm\begin{aligned} r & =0.3535 \times 361 \\ & =128 \mathrm{~pm} \end{aligned}$$
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