$(a)\;3.33\qquad(b)\;0.225\qquad(c)\;2.33\qquad(d)\;5.33$

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Let the volume of f.c.c unit cell = V

$\rho_A = \large\frac{4\times M_A}{N_A. a^3}$

$\rho_B = \large\frac{8\times M_B}{N_A . a^3}$

$\large\frac{\rho_A}{\rho_B} = \large\frac{M_A}{2M_B} $

$\;\;\; = \large\frac{30}{2\times 50}$

$\;\;\; = \large\frac{30}{100}$

$\;\;\; = 0.3 $

$\rho_B = \large\frac{\rho_A }{\rho_B} = 3.33 g/cc$

Hence answer is (A)

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