Atoms of metals x, y and z form face-centred cubic (fcc) unit cell of edge length L x, body-centred cubic (bcc) unit cell of edge length L_y, and simple cubic unit cell of edge length L_z, respectively. If r_z= {\sqrt{3}}{/}{2} r_y ; r_y=\binom{8}{/}{\sqrt{3}} r_x ; M_z=\binom{3}{/}{2} M_y and M_z=3 M_x, then the correct statement(s) is(are) [Given: {\M}_{ {\x}}, {\M}_{ {\y}}, and {\M}_{ {\z}} are molar masses of metals {\x}, {\y}, and {\z}, respectively. r_x, r_y, and r_z are atomic radii of metals x, y, and z, respectively.] [JEE Adv 2023 P2]

Packing efficiency of unit cell of x> Packing efficiency of unit cell of y> Packing efficiency of unit cell of z

Solid State

Section: Chemistry

Question : 3 of 19

Marks: +1, -0

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 rz=‌√3/2ry;ry=‌8/√3rx;Mz=‌3/2My 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.]

[JEE Adv 2023 P2]

Packing efficiency of unit cell of x> Packing efficiency of unit cell of y> Packing efficiency of unit cell of z
Ly>Lz
Lx>Ly
Density of x> Density of y

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