JEE Main 2023ChemistrySolid StateEasyNumerical

JEE Main 2023Solid State Question with Solution

JEE Main 2023 (01 Feb Shift 2)

Question

A metal M crystallizes into two lattices :- face centred cubic (fcc) and body centred cubic (bcc) with unit cell edge length of 2.0 and 2.5A° respectively. The ratio of densities of lattices fcc to bec for the metal M is _______(Nearest integer)

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Show full solutionCorrect answer: 4
Correct answer
4

Step-by-step explanation

The density of the crystal lattice can be calculated as follows,

d=Z×MNAa3

Z=effective number of atoms in unit cell(For BCC=2 and FCC=4)

M=Molar mass

NA=Avogadro's number

a=Edge length

dFCCdBCC=4×MwNA×(2)32×MwNA×(2.5)3=3.90

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About this question

This is a previous-year question from JEE Main 2023, covering the Solid State chapter of Chemistry. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.