Iron exhibits \( b c c \) structure at room temperature. Above \( 900^{\circ} \mathrm{C} \), it ...

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Iron exhibits \( b c c \) structure at room temperature. Above \( 900^{\circ} \mathrm{C} \), it transforms to \( f c c \) structure. The ratio of density of iron at room temperature to that at \( 900^{\circ} \mathrm{C} \) (assuming molar mass and atomic radii of iron remains constant with temperature) is:
(a) \( \frac{\sqrt{3}}{\sqrt{2}} \)
(b) \( \frac{4 \sqrt{3}}{3 \sqrt{2}} \)
(c) \( \frac{3 \sqrt{3}}{4 \sqrt{2}} \)
(d) \( \frac{1}{2} \)
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