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Q.

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=32  ry;ry=83rx;Mz=32MyandMz=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.]

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a

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

b

Ly > Lz

c

Lx > Ly

d

Density of x > Density of y

answer is A, B, D.

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Detailed Solution

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MX=K        rx=b             LX=22bMY=2K      ry=8b3       LY=32b3MX=3K  rz=4b           LZ=[8b]

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