Atoms of metals x, y, and z form face-centred cubic (fcc) unit cell of edge length L x …

Chemistry · JEE Advanced · NTA ExamsSolid State

Atoms of metals x, y, and z form face-centred cubic (fcc) unit cell of edge length Lx, body-centred cubic (bcc) unit cell of edge length Ly, and simple cubic unit cell of edge length Lz, respectively. If
\[r_{z}=\frac{\sqrt{3}}{2} r_{y} ; r_{y}=\frac{8}{\sqrt{3}} r_{x} ; M_{z}=\frac{3}{2} M_{y}\] and MZ = 3MX, then the correct statement (s) is (are)
[Given : Mx, My, and Mz are molar masses of metals x, y, and z, respectively. rx, ry, and rz are atomic radii of metals x, y, and z, respectively.] (2023)
  1. Packing efficiency of unit cell of x > Packing efficiency of unit cell of y > Packing efficiency of unit cell of z
  2. Ly > Lz
  3. Lx > Ly
  4. Density of x > Density of y

Answer

(A) Packing efficiency of unit cell of x > Packing efficiency of unit cell of y > Packing efficiency of unit cell of z, (B) L y > L z, (D) Density of x > Density of y

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