Question

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,
(a) 1 a :✓3 a : 1 a
2 4 2✓2
(b) 1 a :✓3a : 1 a
2 ✓2
(c)1 a :✓3 a :✓3 a
2 2 2
(d) 1a :✓3a :✓2a

Answer 1

YOUR ANSWER IS IN THE ATTACHMENT PLZZ REFER TO THE ATTACHMENT

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Answer 2

(a) (1/2)a : (√3/4)a : (1/2√2)a

Explanation:

Simple cubic: a = 2r. So r = a/2

Body centered cubic: a = 4r/√3. So r = √3a/4

Face centered cubic: a = 2√2 r. So r = a/2√2

Now the ratio of radii for simple cubic, body centered cubic and face centered cubic will be a/2 : √3a/4 : a/2√2

Hence Option A is the answer.