1.

The radius of the largest sphere which fits properly at the centre of the edge of the bodycentred cubic unit cell is ………….. (Edge length is represented by "a")

Answer»

0.134 a 
0.027 a 
0.067 a 
0.047 a 

Solution :For a body centred unit CELL : `sqrt(3)a = 4R`...(i)
EDGE length `(a)= 2(R + r)`
`a/2 = R + r` .. (II)
On SOLVING (i) and (ii)
`r = ((2 - sqrt(3))/(4)) a`
` implies` r = 0.067 a


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