1.

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

Answer»

`(1/2a : (sqrt3)/2 : (SQRT2)/2 a)`
`(SQRT(1)a : sqrt(3)a : sqrt(2)a)`
`(1/2a : (sqrt3)/4 a : 1/(2sqrt2)a)`
`(1/2 a : sqrt(3)a : 1/(sqrt2)a)`

SOLUTION :`sc IMPLIES 2r = a implies r = a/2`
`bcc implies 4r = sqrt(3)a implies r = (sqrt(3)a)/(4)`
`fcc implies 4p = sqrt(2)a implies r = (sqrt(2)a)/4 = a/(2sqrt(2))`
`(a/2):((sqrt(3)a)/(4)) : (a/(2sqrt(2)))`


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