JEE Main 2023ChemistrySolid StateEasyNumerical

JEE Main 2023 — Solid State Question with Solution

JEE Main 2023 (13 Apr Shift 2)

Question

Sodium metal crystallises in a body centred cubic lattice with unit cell edge length of 4 Å. The radius of sodium atom is ___×10-1Å. (Nearest integer)

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Show full solutionCorrect answer: 17
Correct answer
17

Step-by-step explanation

Edge length of the unit cell (a) = 4 x 10-8cm

Radius of sodium atom (r)=?

Since, sodium crystallises in body centered cubic arrangement.

The radius of the atom and the edge length of the cubic unit cell are related as follows,

For bcc structure, 4r=3a⇒r=34a

r=1.732×4×10-84r=1.732×10-8 cmr=17.3Å.

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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.