A metal crystallizes with a face-centred cubic lattice. The edge of the unit cell is 408 pm. The diameter of the metal atom is

A metal crystallizes with a face-centred cubic lattice. The edge of th

1.	A metal crystallizes with a face-centred cubic lattice. The edge of the unit cell is 408 pm. The diameter of the metal atom is
Answer» <html><body><p>288 <a href="https://interviewquestions.tuteehub.com/tag/pm-1156895" style="font-weight:bold;" target="_blank" title="Click to know more about PM">PM</a><br/><a href="https://interviewquestions.tuteehub.com/tag/408-1875061" style="font-weight:bold;" target="_blank" title="Click to know more about 408">408</a> pm<br/><a href="https://interviewquestions.tuteehub.com/tag/32-144-273643" style="font-weight:bold;" target="_blank" title="Click to know more about 144">144</a> pm<br/>204 pm</p>Solution :For fcc lattice, `r=a/(<a href="https://interviewquestions.tuteehub.com/tag/2sqrt2-1838926" style="font-weight:bold;" target="_blank" title="Click to know more about 2SQRT2">2SQRT2</a>)`=0.3535 a <br/> =0.3535 x 408 pm =144 pm <br/> `therefore` Diameter=2r =288 pm</body></html>