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A given metal crystalline out with a cu...

A given metal crystalline out with a cubic structure having edge length of `361` pm .if there are four metal atoms in one unit cell, what is the radius of metal atom?

A

40 pm

B

127 pm

C

80 pm

D

108 pm

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The correct Answer is:
B
Given, edge length = 361 pm
Four metal atoms in one unit cell
i.e. effective number in unit cell (z) = 4 (given)
`therefore" It is a FCC structure"`
`therefore"Face diagonal"=4r`
`sqrt2a=4r`
`r=(sqrt2xx361)/(4)=127" pm"`
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