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Iron exhibits bcc structure at room temperature. Above 900°C, it transforms to fcc structure. The ratio of density of iron at room temperature to that at 900°C (assuming molar mass and atomic radii of iron remains constant with temperature) is:
- √3/√2
- 4√3/√2
- 1/2
- 3√3/4√2
Correct answer: √3/√2
Solution
The density ratio depends on the packing efficiency of the structures. For bcc, the packing efficiency is 68%, and for fcc, it is 74%. The ratio of densities is proportional to the ratio of packing efficiencies, which simplifies to √3/√2.
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