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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:

1. a/2
2. √3a/4
3. √2a/4
4. a/4

Correct answer: a/4

Solution

In a simple cubic system, the radius is a/2; in a body-centered cubic system, the radius is √3a/4; and in a face-centered cubic system, the radius is √2a/4. The question asks for the ratio of radii, which corresponds to the given options.

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