→a,→b,→c are the edges of a cube of unit length and →r be any unit vector inside the cube the |→a×→r|2+∣∣→b×→r∣∣2+|→c×→r|2 is
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|(→a×→r)|2+∣∣(→b×→r)∣∣2+|(→c×→r)|2=sin2α+sin2β+sin2γ=2
If a = 2r for a simple cube, the volume of the unit cell will be:
The edge lengths of the unit cells in terms of the radius of sphere constituting fcc, bcc and simple cubic unit cells are respectively .......
(a)2√2r,4r√3,2r (b) 4r√3,2√2r,2r
(c)2r,2√2r,4r√3 (d) 2r,4r√3,2√2r