1.

A domain in ferromagnetic iron is in the form of a ube of side length `2mum` then the number of iron atoms in the domain are `("Molecular mass of iron"= 55gmol^(-1) and "density"=7.92 g cm^(-3))`A. `6.92xx10^(12)"atoms"`B. `6.92xx10^(11)"atoms"`C. `6.92xx10^(10)"atoms"`D. `6.92xx10^(13)"atoms"`

Answer» Correct Answer - B
The volume of the cubic domain
`V=(2mu m)^(3)=(2xx10^(-6)m)^(3)`
`=8xx10^(-18)m^(3)=8xx10^(-12)cm^(3)`
and mass = volume `xx` density
`= 8 xx 10^(-12) cm^(3) xx 7.9 g cm^(-3)`
`=63.2xx10^(-12)g`
Now the Avagadro number `(6.023xx10^(23))` of iron atoms have a mass of 55g. Hence the number of atoms in the domain are
`N=(63.2xx10^(-12)xx6.023xx10^(23))/(55)=6.92xx10^(11)"atoms"`


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