MHT CET 2023 Chemistry question

ChemistryThe Solid StateMHT CET 2023

Not in JEE Main or NEET syllabus

Find the radius of an atom in fcc unit cell having edge length 405 pm

Answer: (C)

Solution

In a face-centred cubic unit cell the atoms touch along the face diagonal, which equals . By Pythagoras the face diagonal is , so and \dfrac{\sqrt2 a}{4}\dfrac{a}{2\sqrt2}\dfrac{405}{2.828}$

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Question ID VK-096371