The metal M crystallizes in a body cantered lattice with cell edge 400 pm . The atomic radius of M is

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Question: Answered & Verified by Expert

The metal

M

crystallizes in a body cantered lattice with cell edge

400 pm

. The atomic radius of

M

is

ChemistrySolid StateJEE Main

Solution:

1227 Upvotes Verified Answer

The correct answer is: 173

a = 400 pm

In body central lattice

\sqrt{3} a = 4 r

r = \frac{\sqrt{3} a}{4}

r = \frac{\sqrt{3}}{4} \times 400

r = \sqrt{3} \times 100 = 173 p m

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