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JEE Main 2010
Exam
JEE Main
Year
2010
Subject
Chemistry
Chapter
Solid State

JEE Main 2010 · Chemistry · Solid State

The edge length of a face centered cubic cell of an ionic substance...

The edge length of a face centered cubic cell of an ionic substance is 508pm508 \mathrm{pm}. If the radius of the cation is 110pm110 \mathrm{pm}, the radius of the anion is

Options

  1. A288pm288 \mathrm{pm}
  2. B398pm398 \mathrm{pm}
  3. C618pm618 \mathrm{pm}
  4. D144pm144 \mathrm{pm}

Correct answer

D. 144pm144 \mathrm{pm}

Step-by-step solution

For an ionic substance in FCC arrangement, 2(r++r−)=edge length 2(110+r−)=508r−=144pm\begin{aligned}& 2 \left(r^{+}+r^{-}\right)=\text{edge length }\\ & 2\left(110+r^{-}\right)=508 \\ & r^{-}=144 \mathrm{pm} \end{aligned}
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