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NEET UG CHEMISTRY MCQ: SOLID STATE

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Application +4 | -1
The edge length of unit cell of a metal having molecular weight 75 g/mol75 \mathrm{~g} / \mathrm{mol} is 5A∘5\mathop {\text{A}}\limits^ \circ which crystallizes in cubic lattice. If the density is 2 g/2 \mathrm{~g} / cc\mathrm{cc} and the radius of metal atom is 4.33xpm.(NA4.33 \mathrm{xpm} .\left(\mathrm{N}_{\mathrm{A}}\right. =6×1023=6 \times 10^{23} ). Find the value of xx.


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Correct option: A
5
Option A is correct because the number of atoms per unit cell (Z) is calculated using the formula Z = (ρ * a³ * NA) / M, and then the relationship between the edge length and atomic radius for a cubic lattice is used to find the radius. The value of x is then determined to be 5.

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