JEE Main 2022 · ChemistryNumerical answerNumerical valueMediumCalculation

JEE Main 29 July 2022, Shift 1, Chemistry Q82

Question 82 of 90 in this shift, Chemistry question 22 of 30, Section B.

Ionic radii of cation

\mathrm{A^+}

and anion

\mathrm{B^-}

are 102 and 181 pm respectively. These ions are allowed to crystallize into an ionic solid. This crystal has cubic close packing for

\mathrm{B^-}

\mathrm{A^+}

is present in all octahedral voids. The edge length of the unit cell of the crystal AB is __________pm. (Nearest Integer)

Official answer

512

NTA final key.

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

Same idea in other shifts

Asked 4× in all

10 Apr 2023, Shift 2 · Q62The correct relationships between unit cell edge length 'a' and radius of sphere 'r' for face-centred and body-centred cubic structures…EasySingle correct
13 Apr 2023, Shift 2 · Q82Sodium metal crystallizes in a body centred cubic lattice with unit cell edge length of 4 Å. The radius of sodium atom is ______…EasyNumerical value
15 Apr 2023, Shift 1 · Q61Which of the following expressions is correct in case of a CsCl unit cell (edge length 'a')?EasySingle correct

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.