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Chemistry - Solid State Question with Solution | TestHub

ChemistrySolid StateCubic CrystalsMedium2 minQB

ChemistryMediumnumerical

An element crystallizes in fcc unit cell at room temperature but changes to HCP at high temperature. If edge length of fcc unit cell is $3 \overset{˚}{A}$ , then find the height of HCP unit cell (in $\overset{˚}{A}$ ) (Use : $3 = 1.73$ )

Answer:

2.00

Solution:

$a = \frac{1}{2} \frac{3}{2} \overset{˚}{A}$

$2 a = 4 r$

$R = \frac{a}{2 2} = \frac{1}{2} \frac{3}{2} \overset{˚}{A}$

The height of the HCP unit cell is $4 \frac{2}{3} R = 4 \frac{2}{3} \times \frac{3}{2 2} = 2 \overset{˚}{A}$ .

Stream:JEESubject:ChemistryTopic:Solid StateSubtopic:Cubic Crystals

⏱ 2mℹ️ Source: QB

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