Get Answers to all your Questions

header-bg qa

A given metal crystallizes 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 ?

  • Option 1)

    80 pm

  • Option 2)

    108 pm

  • Option 3)

    40 pm

  • Option 4)

    127 pm

 

Answers (1)

best_answer

As we learnt 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

 

 Given that there are 4 metal atoms in a unit cell, so it's an FCC lattice.

4r=\sqrt{2}\:a

r=\frac{361}{2\sqrt{2}}=127pm

Answer is 4


Option 1)

80 pm

This solution is incorrect 

Option 2)

108 pm

This solution is incorrect 

Option 3)

40 pm

This solution is incorrect 

Option 4)

127 pm

This solution is correct 

Posted by

Plabita

View full answer

NEET 2024 Most scoring concepts

    Just Study 32% of the NEET syllabus and Score up to 100% marks