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Q.

A metal has bcc structure at room temperature. At higher temperature it transforms to fcc structure. Ratio of density of the metal at higher temperature to room temperature would be (Assume atomic radius of the metal remains constant)

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answer is 3.

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Detailed Solution

d = ZMNoa3I) At higher temperature, fccZ = 4a =22 rII) At room temperature, bccZ = 2a =4r3d ∝Za3M, Noare constantsdfccdbcc = 42×4r3322 r3dfccdbcc = 2×4×4×43 ×3×3 ×2×2×2×2 ×2 ×2 =4×433 ×22 = 4233

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