If ' a ' stands for the edge length of the cubic systems : simple cubic, body centred cubic and face centred cubic, then the ratio of radii of the spheres in these systems will be respective

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If ' a ' stands for the edge length of the cubic systems : simple cubic, body centred cubic and face centred cubic, then the ratio of radii of the spheres in these systems will be respectively,NEET 2008 (Screening)

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For simple cubic, ∴ ∴ ​ a r ​ = 2 r = 2 a ​ ​ For body centred cubic, ​ a = 3 ​ 4 r ​ r = 4 3 ​ a ​ ​ For face centred cubic, ​ a = 2 2 ​ r r = 2 2 ​ a ​ ​ Hence, the ratio of radii in simple cubic, body centred cubic and face centred cubic is 2 a ​ : 4 3 ​ a ​ : 2 2 ​ a ​

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