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Density

First three n...

Question

First three nearest neighbour distance fo rprimitive cubic lattice are respectively (edge length of unit cell=a):

A

a, \sqrt{2 a}, \sqrt{3 a}

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B

\sqrt{3 a}, \sqrt{2 a}, a,

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C

a, \sqrt{2 a}, 2 a,

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D

a, \sqrt{3 a}, 2 a,

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Solution

The correct option is A $a, \sqrt{2 a}, \sqrt{3 a}$
$A B = a$ (nearest)
$B D = \sqrt{2} a$ (next-nearest)
$C E = \sqrt{3} a$ (next-next-nearest)

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