If the same type of atoms are packed in hexagonal closest packing (HCP) and cubical closest packing (CCP) separately, then

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density of HCP will be greater than CCP

density of HCP may be equal or greater than or smaller than CCP depending upon the temperature of the system

density of HCP will be smaller than CCP

density of HCP will be equal to CCP

answer is C.

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Detailed Solution

If the same type of atoms are packed in hexagonal closest packing (HCP) and cubical closest packing (CCP) separately, then density of HCP will be equal to CCP.

HCP unit cells have 6 atoms in them. Each CCP unit cell has four atoms. Tetrahedral voids are covered by the third layer of spheres in hcp (hexagonal closed packing), which is identical to the first layer. So the stacking might be shown as an a-b-a-b-a-b type.

Hence the option C is correct.

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