JEE Main 2020 — Solid State Question with Solution
From: JEE Main 2020 (Online) 6th September Evening Slot
Question
A crystal is made up of metal ions 'M1' and 'M2'
and oxide ions. Oxide ions form a ccp lattice
structure. The cation 'M1' occupies 50% of
octahedral voids and the cation 'M2' occupies
12.5% of tetrahedral voids of oxide lattice. The
oxidation numbers of 'M1' and 'M2' are,
respectively :
Choose an option
Show full solutionCorrect option: D
Correct answer
D+ 2, + 4
Step-by-step explanation
O–2 ions form ccp O4.
M1 = 50% octahedral void = = 2
M2 = 12.5% tetrahedral void = = 1
So formula is : (M1)2(M2)1O4
Let charge on M1 and M2 are +x and +y respectively. And O4 has -8 charge.
As crystal is neutral. So metals must have +8 charge in total.
+2x + y = 8 ....(1)
By checking options we found eq (1) satisfy when
x = +2
y = +4
M1 = 50% octahedral void = = 2
M2 = 12.5% tetrahedral void = = 1
So formula is : (M1)2(M2)1O4
Let charge on M1 and M2 are +x and +y respectively. And O4 has -8 charge.
As crystal is neutral. So metals must have +8 charge in total.
+2x + y = 8 ....(1)
By checking options we found eq (1) satisfy when
x = +2
y = +4
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This is a previous-year question from JEE Main 2020, 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.