Which of the following does not represent radius of the atom correctly?(i) Simple cubic cell: Radius =a2(ii) Face centred cubic cell: Radius =a33(iii) Body centred cubic cell: Radius =34a

For FCC, radius of the atom, r=a22For BCC, radius of an atom, r=34aFor simple cubic lattice, the radius of an atom, a=2r

Which of the following does not represent radius of the atom correctly?(i) Simple cubic cell: Radius =a2(ii) Face centred cubic cell: Radius =a33(iii) Body centred cubic cell: Radius =34a

For FCC, radius of the atom, r=a22For BCC, radius of an atom, r=34aFor simple cubic lattice, the radius of an atom, a=2r

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Which of the following does not represent radius of the atom correctly?
(i) Simple cubic cell: Radius $= \frac{a}{2}$
(ii) Face centred cubic cell: Radius $= \frac{a}{3 \sqrt{3}}$
(iii) Body centred cubic cell: Radius $= \frac{\sqrt{3}}{4} a$

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(i) and (ii)

(ii)

(i)

(iii)

answer is C.

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Detailed Solution

For FCC, radius of the atom, $r = \frac{a}{2 \sqrt{2}}$

For BCC, radius of an atom, $r = \frac{\sqrt{3}}{4} a$

For simple cubic lattice, the radius of an atom, $a = 2 r$

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Which of the following does not represent radius of the atom correctly?(i) Simple cubic cell: Radius =a2(ii) Face centred cubic cell: Radius =a33(iii) Body centred cubic cell: Radius =34a

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Which of the following does not represent radius of the atom correctly?
(i) Simple cubic cell: Radius $= \frac{a}{2}$
(ii) Face centred cubic cell: Radius $= \frac{a}{3 \sqrt{3}}$
(iii) Body centred cubic cell: Radius $= \frac{\sqrt{3}}{4} a$