MHT CET · Chemistry · Solid State
What is the atomic radius of polonium if it crystallises in a simple cubic structure with edge length of unit cell \(336 \mathrm{pm}\) ?
- A \(84 \mathrm{pm}\)
- B \(168 \mathrm{pm}\)
- C \(234 \mathrm{pm}\)
- D \(336 \mathrm{pm}\)
Answer & Solution
Correct Answer
(B) \(168 \mathrm{pm}\)
Step-by-step Solution
Detailed explanation
For simple cubic structure,
\(
\begin{aligned}
& a=2 r \\
& a=\text { Edge length of unit cell } \\
& r=\text { radius of atoms } \\
& 336=2 r \\
& r=168 \mathrm{pm}
\end{aligned}
\)
\(
\begin{aligned}
& a=2 r \\
& a=\text { Edge length of unit cell } \\
& r=\text { radius of atoms } \\
& 336=2 r \\
& r=168 \mathrm{pm}
\end{aligned}
\)
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