JEE Main 2022ChemistrySolid StateMediumNumerical

JEE Main 2022Solid State Question with Solution

JEE Main 2022 (29 Jul Shift 1)

Question

Ionic radii of cation A+ and anion B- are 102 and 181pm respectively. These ions are allowed to crystallize into an ionic solid. This crystal has cubic close packing for B-.A+ is present in all octahedral voids. The edge length of the unit cell of the crystal AB is___pm.

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Show full solutionCorrect answer: 566
Correct answer
566

Step-by-step explanation

In given ionic compound anions form CCP lattice, And cation is present in octahedral void. Means this structure is similar to structure of NaCl. Which is also called rock salt structure.

Edge length = a=?

In rock salt structure cations and anions are in contact along the edge of the cube. 

So, a=2r++r-

a=2102+181

a=2283

a=566 pm

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About this question

This is a previous-year question from JEE Main 2022, 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.