JEE Advanced levelNumerical answerDifficulty 3 of 3ss088
Anions in a ccp lattice touch along the face diagonal of a cell with edge 565pm. Take 2=1.414, roct/r=0.414 and rtet/r=0.225. Find, in pm (nearest integer), the difference between the radii of the largest spheres that fit in an octahedral void and in a tetrahedral void.
Numerical answer type, answer in pm, tolerance 0.5.
Answer: 38 pm
r=a/(22)=565/2.828=199.79pm. roct=0.414r=82.71 and rtet=0.225r=44.95. Difference =37.76≈38pm.