In which of the following arrangements, a metal would have the least density?

BCC

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CCP

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HCP

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Solution

The correct option is D SC
Density is directly proportional to the packing efficiency of a unit cell.

The packing efficiency of a simple cubic lattice is 52.4%.

Hence, Simple cubic lattice (SC) has the least packing efficiency among other unit cells.

Option $D$ is correct.

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