A given metal crystallises 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 one atom ?
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a
40 pm
b
127 pm
c
80 pm
d
108 pm
answer is B.
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Detailed Solution
Given, edge length = 361PmFour metal atoms in one unit celli.e. effective number of atoms in a unit cell (r) - 4 (given)∴It is a fcc structure.∴Face diagonal, 2a=4r⇒ r=2×3614=127 pm.