Calculations Involving Unit Cell Dimensions
CHXII01:THE SOLID STATE

318679 Edge length of a bcc crystal is 300 pm . Its body diagonal would be ____ pm .

1 5196
2 0.5196
3 51.96
4 519.6
CHXII01:THE SOLID STATE

318680 An element crystal has a density of \(8570 \mathrm{~kg} / \mathrm{m}^{3}\). The packing efficiency is 0.68 . The closest distance of approach between neigbouring atom is \(2.86 \stackrel{\circ}{\mathrm{A}}\). What is the mass of one atom approximately?

1 \(93 \mathrm{amu}\)
2 \(63 \mathrm{amu}\)
3 \(29 \mathrm{amu}\)
4 \(39 \mathrm{amu}\)
CHXII01:THE SOLID STATE

318681 Metal M of radius 50 nm is crystallized in fcc type and made cubical crystal such that face of unit cells aligned with face of cubical crystal. If the total number of metal atoms of \({\mathrm{M}}\) at all faces of cubical crystal is \({\mathrm{6 \times 10^{30}}}\), then the area of one face of cubical crystal is

1 \({10^{16}}{{\text{m}}^{\text{2}}}\)
2 \(2 \times {10^{16}}{{\text{m}}^{\text{2}}}\)
3 \(6 \times {10^{13}}{{\text{m}}^{\text{2}}}\)
4 \(8 \times {10^{16}}{{\text{m}}^{\text{2}}}\)
CHXII01:THE SOLID STATE

318682 A bcc lattice is made up of hollow spheres of \({\mathrm{B}}\). Spheres of solids \({\mathrm{A}}\) are present in hollow spheres of \({\mathrm{B}}\). The radius of \({\mathrm{A}}\) is half of the radius of \({\mathrm{B}}\). The ratio of total volume of spheres of \({\mathrm{B}}\) unoccupied by \({\mathrm{A}}\) in a unit cell and volume of unit cell is \({\mathrm{A \times \dfrac{\pi \sqrt{3}}{64}}}\). Find the value of \({\mathrm{A}}\).

1 7
2 \(\sqrt 3 \)
3 64
4 16
CHXII01:THE SOLID STATE

318683 Copper crystallises in fcc unit cell with cell edge length of \(3.608 \times 10^{-8} \mathrm{~cm}\). The density of copper is \(8.92 \mathrm{~g} \mathrm{~cm}^{-3}\). Calculate the atomic mass of \(23 /\) copper.

1 \(31.55 \mathrm{u}\)
2 \(60 u\)
3 \(65 \mathrm{u}\)
4 \(63.1 \mathrm{u}\)
CHXII01:THE SOLID STATE

318679 Edge length of a bcc crystal is 300 pm . Its body diagonal would be ____ pm .

1 5196
2 0.5196
3 51.96
4 519.6
CHXII01:THE SOLID STATE

318680 An element crystal has a density of \(8570 \mathrm{~kg} / \mathrm{m}^{3}\). The packing efficiency is 0.68 . The closest distance of approach between neigbouring atom is \(2.86 \stackrel{\circ}{\mathrm{A}}\). What is the mass of one atom approximately?

1 \(93 \mathrm{amu}\)
2 \(63 \mathrm{amu}\)
3 \(29 \mathrm{amu}\)
4 \(39 \mathrm{amu}\)
CHXII01:THE SOLID STATE

318681 Metal M of radius 50 nm is crystallized in fcc type and made cubical crystal such that face of unit cells aligned with face of cubical crystal. If the total number of metal atoms of \({\mathrm{M}}\) at all faces of cubical crystal is \({\mathrm{6 \times 10^{30}}}\), then the area of one face of cubical crystal is

1 \({10^{16}}{{\text{m}}^{\text{2}}}\)
2 \(2 \times {10^{16}}{{\text{m}}^{\text{2}}}\)
3 \(6 \times {10^{13}}{{\text{m}}^{\text{2}}}\)
4 \(8 \times {10^{16}}{{\text{m}}^{\text{2}}}\)
CHXII01:THE SOLID STATE

318682 A bcc lattice is made up of hollow spheres of \({\mathrm{B}}\). Spheres of solids \({\mathrm{A}}\) are present in hollow spheres of \({\mathrm{B}}\). The radius of \({\mathrm{A}}\) is half of the radius of \({\mathrm{B}}\). The ratio of total volume of spheres of \({\mathrm{B}}\) unoccupied by \({\mathrm{A}}\) in a unit cell and volume of unit cell is \({\mathrm{A \times \dfrac{\pi \sqrt{3}}{64}}}\). Find the value of \({\mathrm{A}}\).

1 7
2 \(\sqrt 3 \)
3 64
4 16
CHXII01:THE SOLID STATE

318683 Copper crystallises in fcc unit cell with cell edge length of \(3.608 \times 10^{-8} \mathrm{~cm}\). The density of copper is \(8.92 \mathrm{~g} \mathrm{~cm}^{-3}\). Calculate the atomic mass of \(23 /\) copper.

1 \(31.55 \mathrm{u}\)
2 \(60 u\)
3 \(65 \mathrm{u}\)
4 \(63.1 \mathrm{u}\)
CHXII01:THE SOLID STATE

318679 Edge length of a bcc crystal is 300 pm . Its body diagonal would be ____ pm .

1 5196
2 0.5196
3 51.96
4 519.6
CHXII01:THE SOLID STATE

318680 An element crystal has a density of \(8570 \mathrm{~kg} / \mathrm{m}^{3}\). The packing efficiency is 0.68 . The closest distance of approach between neigbouring atom is \(2.86 \stackrel{\circ}{\mathrm{A}}\). What is the mass of one atom approximately?

1 \(93 \mathrm{amu}\)
2 \(63 \mathrm{amu}\)
3 \(29 \mathrm{amu}\)
4 \(39 \mathrm{amu}\)
CHXII01:THE SOLID STATE

318681 Metal M of radius 50 nm is crystallized in fcc type and made cubical crystal such that face of unit cells aligned with face of cubical crystal. If the total number of metal atoms of \({\mathrm{M}}\) at all faces of cubical crystal is \({\mathrm{6 \times 10^{30}}}\), then the area of one face of cubical crystal is

1 \({10^{16}}{{\text{m}}^{\text{2}}}\)
2 \(2 \times {10^{16}}{{\text{m}}^{\text{2}}}\)
3 \(6 \times {10^{13}}{{\text{m}}^{\text{2}}}\)
4 \(8 \times {10^{16}}{{\text{m}}^{\text{2}}}\)
CHXII01:THE SOLID STATE

318682 A bcc lattice is made up of hollow spheres of \({\mathrm{B}}\). Spheres of solids \({\mathrm{A}}\) are present in hollow spheres of \({\mathrm{B}}\). The radius of \({\mathrm{A}}\) is half of the radius of \({\mathrm{B}}\). The ratio of total volume of spheres of \({\mathrm{B}}\) unoccupied by \({\mathrm{A}}\) in a unit cell and volume of unit cell is \({\mathrm{A \times \dfrac{\pi \sqrt{3}}{64}}}\). Find the value of \({\mathrm{A}}\).

1 7
2 \(\sqrt 3 \)
3 64
4 16
CHXII01:THE SOLID STATE

318683 Copper crystallises in fcc unit cell with cell edge length of \(3.608 \times 10^{-8} \mathrm{~cm}\). The density of copper is \(8.92 \mathrm{~g} \mathrm{~cm}^{-3}\). Calculate the atomic mass of \(23 /\) copper.

1 \(31.55 \mathrm{u}\)
2 \(60 u\)
3 \(65 \mathrm{u}\)
4 \(63.1 \mathrm{u}\)
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CHXII01:THE SOLID STATE

318679 Edge length of a bcc crystal is 300 pm . Its body diagonal would be ____ pm .

1 5196
2 0.5196
3 51.96
4 519.6
CHXII01:THE SOLID STATE

318680 An element crystal has a density of \(8570 \mathrm{~kg} / \mathrm{m}^{3}\). The packing efficiency is 0.68 . The closest distance of approach between neigbouring atom is \(2.86 \stackrel{\circ}{\mathrm{A}}\). What is the mass of one atom approximately?

1 \(93 \mathrm{amu}\)
2 \(63 \mathrm{amu}\)
3 \(29 \mathrm{amu}\)
4 \(39 \mathrm{amu}\)
CHXII01:THE SOLID STATE

318681 Metal M of radius 50 nm is crystallized in fcc type and made cubical crystal such that face of unit cells aligned with face of cubical crystal. If the total number of metal atoms of \({\mathrm{M}}\) at all faces of cubical crystal is \({\mathrm{6 \times 10^{30}}}\), then the area of one face of cubical crystal is

1 \({10^{16}}{{\text{m}}^{\text{2}}}\)
2 \(2 \times {10^{16}}{{\text{m}}^{\text{2}}}\)
3 \(6 \times {10^{13}}{{\text{m}}^{\text{2}}}\)
4 \(8 \times {10^{16}}{{\text{m}}^{\text{2}}}\)
CHXII01:THE SOLID STATE

318682 A bcc lattice is made up of hollow spheres of \({\mathrm{B}}\). Spheres of solids \({\mathrm{A}}\) are present in hollow spheres of \({\mathrm{B}}\). The radius of \({\mathrm{A}}\) is half of the radius of \({\mathrm{B}}\). The ratio of total volume of spheres of \({\mathrm{B}}\) unoccupied by \({\mathrm{A}}\) in a unit cell and volume of unit cell is \({\mathrm{A \times \dfrac{\pi \sqrt{3}}{64}}}\). Find the value of \({\mathrm{A}}\).

1 7
2 \(\sqrt 3 \)
3 64
4 16
CHXII01:THE SOLID STATE

318683 Copper crystallises in fcc unit cell with cell edge length of \(3.608 \times 10^{-8} \mathrm{~cm}\). The density of copper is \(8.92 \mathrm{~g} \mathrm{~cm}^{-3}\). Calculate the atomic mass of \(23 /\) copper.

1 \(31.55 \mathrm{u}\)
2 \(60 u\)
3 \(65 \mathrm{u}\)
4 \(63.1 \mathrm{u}\)
CHXII01:THE SOLID STATE

318679 Edge length of a bcc crystal is 300 pm . Its body diagonal would be ____ pm .

1 5196
2 0.5196
3 51.96
4 519.6
CHXII01:THE SOLID STATE

318680 An element crystal has a density of \(8570 \mathrm{~kg} / \mathrm{m}^{3}\). The packing efficiency is 0.68 . The closest distance of approach between neigbouring atom is \(2.86 \stackrel{\circ}{\mathrm{A}}\). What is the mass of one atom approximately?

1 \(93 \mathrm{amu}\)
2 \(63 \mathrm{amu}\)
3 \(29 \mathrm{amu}\)
4 \(39 \mathrm{amu}\)
CHXII01:THE SOLID STATE

318681 Metal M of radius 50 nm is crystallized in fcc type and made cubical crystal such that face of unit cells aligned with face of cubical crystal. If the total number of metal atoms of \({\mathrm{M}}\) at all faces of cubical crystal is \({\mathrm{6 \times 10^{30}}}\), then the area of one face of cubical crystal is

1 \({10^{16}}{{\text{m}}^{\text{2}}}\)
2 \(2 \times {10^{16}}{{\text{m}}^{\text{2}}}\)
3 \(6 \times {10^{13}}{{\text{m}}^{\text{2}}}\)
4 \(8 \times {10^{16}}{{\text{m}}^{\text{2}}}\)
CHXII01:THE SOLID STATE

318682 A bcc lattice is made up of hollow spheres of \({\mathrm{B}}\). Spheres of solids \({\mathrm{A}}\) are present in hollow spheres of \({\mathrm{B}}\). The radius of \({\mathrm{A}}\) is half of the radius of \({\mathrm{B}}\). The ratio of total volume of spheres of \({\mathrm{B}}\) unoccupied by \({\mathrm{A}}\) in a unit cell and volume of unit cell is \({\mathrm{A \times \dfrac{\pi \sqrt{3}}{64}}}\). Find the value of \({\mathrm{A}}\).

1 7
2 \(\sqrt 3 \)
3 64
4 16
CHXII01:THE SOLID STATE

318683 Copper crystallises in fcc unit cell with cell edge length of \(3.608 \times 10^{-8} \mathrm{~cm}\). The density of copper is \(8.92 \mathrm{~g} \mathrm{~cm}^{-3}\). Calculate the atomic mass of \(23 /\) copper.

1 \(31.55 \mathrm{u}\)
2 \(60 u\)
3 \(65 \mathrm{u}\)
4 \(63.1 \mathrm{u}\)