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What will come in place of 'x' if the total number of atoms present in unit cell is 4 ?

d = \frac{x}{a^{3} N_{A}}

  • Option 1)

    M

  • Option 2)

    4 M

  • Option 3)

    \frac{Z}{M}

  • Option 4)

    Z + M

 

Answers (1)

best_answer

density d =\frac{Z\times M}{a^{3}N_{A}}

Where Z is number of atom per unit cell and M is atomic mass of atom

d=\frac{4M}{a^{3}N_{A}}=\frac{x}{a^{3}N_{A}}

x=4M

 

Density of cubic unit cell -

d = \frac{zM}{a^3N_o}

 

- wherein

Where,

d = density of crystal

z = no. of effective constituent particles in one unit cell

M = molecular weight

a = edge length of unit cell

No = 6.022*1023

 

 


Option 1)

M

This is incorrect

Option 2)

4 M

This is correct

Option 3)

\frac{Z}{M}

This is incorrect

Option 4)

Z + M

This is incorrect

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prateek

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