Correct Answer - a
If anion -anion contact is retaired , then as shown in the adjoining figure
interionic distance `LiCI= a//2 = 5.14Å//2 = 2.57 Å`
`BC = sqrt(AB^(2) + AC^(2)) = sqrt((2.67)^(2) = (2.57)^(2)) = 3.63 Å`
Radius of `CI^(-) ion = (1)/(2) BC = (1)/(2) xx 3.63 = 1.81 Å`
Hence reason is the correct explanation of assertion