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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Chemistry
Chapter
Solid State

NTA Abhyas 2020 · Chemistry · Solid State

Edge length of face centred cubic unit cell of an ionic solid AB is...

Edge length of face centred cubic unit cell of an ionic solid AB is 508 pm. If the radius of A+{A}^{+} ion is 110 pm, the radius of B−{B}^{-} ion in pm will be

Correct answer

144

Step-by-step solution

Edge length =2rA++2rB−= 2{r}_{{A}^{+}} + 2{r}_{{B}^{-}}
508=2×110+2rB−508 = 2 \times 110 + 2{r}_{{B}^{-}}
2rB−=508−220=2882{r}_{{B}^{-}} = 508 - 220 = 288
rB−=144{r}_{{B}^{-}} = 144 pm
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