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JEE Main 20154 April
Exam
JEE Main
Year
2015
Date
4 April
Subject
Chemistry
Chapter
Solid State

JEE Main 2015 · 4 April · Chemistry · Solid State

Sodium metal crystallizes in a body centred cubic lattice with a...

Sodium metal crystallizes in a body centred cubic lattice with a unit cell edge of 4.29Å4.29Å . The radius of sodium atom is approximately:

Options

  1. A0.93Å0.93Å
  2. B1.86Å1.86Å
  3. C3.22Å3.22Å
  4. D5.72Å5.72Å

Correct answer

B. 1.86Å1.86Å

Step-by-step solution

For B.C.C lattice,

4r=3a4 \text{r} = \sqrt{3} \text{a}

where 'r' is radius of atom and 'a' is edge length of unit cell

r=34a=1.7324×4.29\text{r} = \dfrac{\sqrt{3}}{4} \text{a} = \dfrac{\text{1.732}}{4} \times \text{4.29}

=1.86A˚= \text{1.86} Å

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