An element 'X' crystallises as face centred cubic lattice with edge length of 460 pm. The density of the element X, when molar mass of X atom is 60 g `mol^(-1)` is

Options

A. 4.096`" "cm^(-3)`
B. 2.048`" "cm^(-3)`
C. 6.144`" "cm^(-3)`
D. 3.072 g `" "cm^(-3)`

Answer

A

Explanation

`rho=(ZM)/(a^(3)N_(A))=(4times60)/((460times10^(-10))^(3)times6.023times10^(23))=4.096g" " cm^(-3)`.