JEE Main 2023 · ChemistryMultiple choiceSingle correctEasyRecall

JEE Main 10 April 2023, Shift 2, Chemistry Q62

Question 62 of 90 in this shift, Chemistry question 2 of 30, Section A.

The correct relationships between unit cell edge length 'a' and radius of sphere 'r' for face-centred and body-centred cubic structures respectively are:

(1) $2\sqrt{2}r = a$ and $4r = \sqrt{3}a$ Official answer
(2) $r = 2\sqrt{2}a$ and $4r = \sqrt{3}a$
(3) $r = 2\sqrt{2}a$ and $\sqrt{3}r = 4a$
(4) $2\sqrt{2}r = a$ and $\sqrt{3}r = 4a$

Official answer

Option 1

NTA final key.

Chapter: The Solid State
Topic: Crystal Lattices
Idea tested: Edge-Radius Relationships

Same idea in other shifts

Asked 4× in all

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Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.