Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Need explanation for: Total volume of atoms present in a face centred cubic unit cell of a metal is ( r is atomic radius ) :

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

  • Option 1)

    \frac{20\pi r^3}{3}

  • Option 2)

    \frac{24\pi r^3}{3}

  • Option 3)

    \frac{12\pi r^3}{3}

  • Option 4)

    \frac{16\pi r^3}{3}

 

Answers (1)

best_answer

As discussed in

No. of atoms(z) for face centered unit cell -

Lattice points: at corners and face centers of unit cell.

For face centered cubic (FCC), z=4.

- wherein

 

 V=n\times \frac{4}{3}\pi r^{3}

4\times \frac{4}{3}\pi r^{3}

\frac{16}{3}\pi r^{3}


Option 1)

\frac{20\pi r^3}{3}

Option is incorrect

Option 2)

\frac{24\pi r^3}{3}

Option is incorrect

Option 3)

\frac{12\pi r^3}{3}

Option is incorrect

Option 4)

\frac{16\pi r^3}{3}

Option is correct

Posted by

divya.saini

View full answer

Similar Questions

Trending Articles/News

anam-khan

BITSAT 2024 slot booking begins for session 1 at bitsadmission.com; admit card on May 15
anam-khan

BITSAT city allotment 2024 issued at bitsadmission.com; here’s how to download
anam-khan

BITSAT 2024 city intimation slip tomorrow at bitsadmission.com; exam pattern

Latest Question