1.

If 'a' stands for the edge length of the cubic system , sc, bcc, and fcc. Then the ratio of radii of spheres in these systems will be respectively.

Answer»

`((1)/(2)a:(SQRT3)/(2)a:(sqrt2)/(2)a)`
`(sqrt1a:sqrt3a:sqrt2a)`
`((1)/(2)a:(sqrt3)/(4)a:(1)/(2SQRT2)a)`
`((1)/(2)a:sqrt3a:(1)/(sqrt2)a)`

Solution :Hint : `sc rArr 2r = a rArr r=(a)/(2)`
`BC crArr 4r = sqrt3arArr r=(sqrt3a)/(4)`
`FCC rArr 4r = sqrt2a rArr r=(sqrt2a)/(4)=(a)/(2sqrt2)`
`((a)/(2)):((sqrt3a)/(4)):((a)/(2sqrt2))`


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