Verified Solution • 2025–26 Session moderate

QJEEM06Ch8eb6: JEE Main 2006 Chemistry - Class 12 JEEM06Ch8eb6 Solution: Total volume of atoms present in a face-centre cubic unit cell…

Total volume of atoms present in a face-centre cubic unit cell of a metal is (r is atomic radius) :

Multiple Choice Options

  • A 20/3 πr3\pi r^3
  • B 24/3 πr3\pi r^3
  • C 16/3 πr3\pi r^3
  • D 12/3 πr3\pi r^3

Step-by-Step Verified Solution

The face centered cubic unit cell contains 44 atom

∴\therefore Total volume of atoms

=4×43πr3=163πr3= 4 \times {4 \over 3}\pi {r^3} = {{16} \over 3}\pi {r^3}

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