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 \(r_{z}=\frac{\sqrt{3}}{2} r_{y} ; r_{y}=\frac{8}{\sqrt{3}} r_{x} ; M_{z}=\frac{3}{2} M_{y} \text { and } M_{z}=3 M_{x}\),
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.]
  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

(B) L y > L z

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