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The arrangement of X^(ɵ) ions around A^(...

The arrangement of `X^(ɵ)` ions around `A^(o+)` ion in solid `AX` is given in the figure (not drawn to scale). If the radius of `X^(ɵ)` is `250 pm`, the radius of `A^(o+)` is

A

104 pm

B

125 pm

C

183 pm

D

57 pm

Text Solution

Verified by Experts

The correct Answer is:
A
According to the given figure. `A^(+)` is present in the octahedral void of `X^(-)` The limiting radius in octahedral void is related to the radius of sphere as
`r_("void")=0.414 " sphere"`
`r_(A)=0.414r`
`=0.414xx250 "pm"=103.5`
`=104 "pm"`
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