The radius of an atom of an element is 5...

The radius of an atom of an element is `500` pm. If it crystallizes as a face-centred cubic lattice, what is the length of the side of the unit cell?

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The correct Answer is:

349.9 pm

For FCC ` , r = a / (2sqrt2) or a = 2sqrt2 r = 2 xx 1.414 xx 500 "pm"= 1414 "pm"`

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