MHT CET · Chemistry · Solid State
Nickel crystallises in a fcc type of unit cell, with edge length \(0.3524 \mathrm{~nm}\). Calculate the radius of nickel atom.
- A \(0.1624 \mathrm{~nm}\)
- B \(0.2164 \mathrm{~nm}\)
- C \(0.1426 \mathrm{~nm}\)
- D \(0.1246 \mathrm{~nm}\)
Answer & Solution
Correct Answer
(D) \(0.1246 \mathrm{~nm}\)
Step-by-step Solution
Detailed explanation
For a fcc type of unit cell,
\(r=\frac{a}{2 \sqrt{2}}=\frac{0.3524 \mathrm{~nm}}{2.828}=0.1246 \mathrm{~nm}\)
\(r=\frac{a}{2 \sqrt{2}}=\frac{0.3524 \mathrm{~nm}}{2.828}=0.1246 \mathrm{~nm}\)
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