Sodium metal crystallises in a body centred cubic lattice with a unit cell edge of 4.29A˚. The radius of sodium atom is approximately

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Atomic radius and shortest distance in cubic system

Sodium metal crystallises in a body centred cubic lattice with

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Sodium metal crystallises in a body centred cubic lattice with a unit cell edge of $4.29 \overset{˚}{A}$ . The radius of sodium atom is approximately

1.86 \overset{˚}{A}

3.22 \overset{˚}{A}

5.72 \overset{˚}{A}

0.93 \overset{˚}{A}

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Updated on: May 11, 2023

Book:

Arihant Chemistry JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Exam:

JEE Mains 2015

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Sodium metal crystallises in a body centred cubic lattice with a unit cell edge of

4.29 \overset{˚}{A}

. The radius of sodium atom is approximately

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Text solutionVerified

From this figure , Solution Image

(A C)^{2} = (A B)^{2} + (BC)^{2}

(A C)^{2} = a^{2} + a^{2} = 2 a^{2}

(A D)^{2} = (A C)^{2} + (D C)^{2}

(4 r)^{2} = 2 a^{2} + a^{2}

16 r^{2} = 3 a^{2}

r = \frac{3}{4} a

Now, when Na metal crystallises in bcc unit cell with unit cell edge,

a = 4.29 \times 1 0^{- 10}

We have the formula for radius, i.e.

r = \frac{3}{4} \times 4.29 \overset{˚}{A} = 1.86 \times 1 0^{- 10}

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Question Text	Sodium metal crystallises in a body centred cubic lattice with a unit cell edge of $4.29 \overset{˚}{A}$ . The radius of sodium atom is approximately
Updated On	May 11, 2023
Topic	The Solid State
Subject	Chemistry
Class	Class 12
Answer Type	Text solution:1 Video solution: 3
Upvotes	416
Avg. Video Duration	8 min

Sodium metal crystallises in a body centred cubic lattice with a unit cell edge of $4.29 \overset{˚}{A}$ . The radius of sodium atom is approximately

Text solutionVerified

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Sodium metal crystallises in a body centred cubic lattice with a unit cell edge of 4.29A˚. The radius of sodium atom is approximately

Text solutionVerified

Filo tutor solutions (3)

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Sodium metal crystallises in a body centred cubic lattice with a unit cell edge of $4.29 \overset{˚}{A}$ . The radius of sodium atom is approximately