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A compound AB crystallized in bcc lattic...

A compound AB crystallized in bcc lattice with unit cell edge length of 480 pm. If the radius of `B^(-)` is 225pm, then the radius of `A^(+)` is

A

225 pm

B

190.7pm

C

129.6pm

D

132.8pm

Text Solution

Verified by Experts

The correct Answer is:
B
Body diagonal of a cube `= sqrt( 3) a `
`= 1.732 xx 480`
`=831.36 `pm
Body diagonal `= 2( r_(x^(+)) + r_(y^(-)))`
` r_(x^(+)) + r_(y^(-)) = ( 831.36)/( 2) = 415.68`pm
`:. r_(x^(+)) = 415.68 - 225`
`= 190.68 = 190.7 `pm
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