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Q.

The radius of an atom of an element is 80 pm. If it crystallises as a body centred cubic lattice, what is the edge of its unit cell?

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a

140 pm

b

184.7pm

c

209.2pm

d

147.5 pm

answer is B.

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Detailed Solution

The relationship between the edge length a and the radius r for a body-centered cubic lattice is as follows: a=4r3

When values are substituted in the expression above, we obtain
a=4×803=184.7pm

Therefore, the correct option is B 184.7pm

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