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NEET 2009
Exam
NEET
Year
2009
Subject
Chemistry
Chapter
Solid State

NEET 2009 · Chemistry · Solid State

Lithium metal crystallizes in a body centred cubic crystal. If the...

Lithium metal crystallizes in a body centred cubic crystal. If the length of the side of the unit cell of lithium is 351pm351 \mathrm{pm}, the atomic radius of lithium will be :

Options

  1. A300.5pm300.5 \mathrm{pm}
  2. B240.8pm240.8 \mathrm{pm}
  3. C151.8pm151.8 \mathrm{pm}
  4. D75.5pm75.5 \mathrm{pm}

Correct answer

C. 151.8pm151.8 \mathrm{pm}

Step-by-step solution

For bcc type of unit cell 3a=4rr=34a=1.732×3514=151.98\begin{aligned} \sqrt{3} \mathrm{a}& =4 \mathrm{r}\\ \mathrm{r}& =\frac{\sqrt{3}}{4} \mathrm{a}\\ & =\frac{1.732 \times 351}{4}\\ & =151.98 \end{aligned}
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