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JEE Main levelSingle correct optionDifficulty 2 of 3ss116

Anions of radius $200 pm$ form a ccp lattice. The radius of the largest sphere that fits exactly into a tetrahedral void is closest to

A $45 pm$
B $83 pm$
C $146 pm$
D $29 pm$

Answer: A

For a tetrahedral void

r / R = 3/2 - 1 = 0.2247

, so

r = 0.2247 \times 200 = 44.9 pm \approx 45 pm

. The values 83 pm and 146 pm correspond to octahedral (

0.414 R

) and cubic (

0.732 R

) holes.

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