Calculations Involving Unit Cell Dimensions
CHXII01:THE SOLID STATE

318684 The edge length of a cubic unit cell of a metal having atomic weight 75 u is 5 \( \mathop {\rm{A}}^{\circ} \). If the density is \({\mathrm{2 \mathrm{~g} \mathrm{~cm}^{-3}}}\), then the radius of the metal atom is ____ pm. \({\mathrm{\left[\mathrm{N}_{\mathrm{A}}=6.0 \times 10^{23} \mathrm{~mol}^{-1}, \sqrt{3}=1.7\right]}}\)

1 602
2 450
3 212.5
4 425
CHXII01:THE SOLID STATE

318685 Statement A :
Density of the unit cell is same as the density of the substance.
Statement B :
Density of the unit cell has no relation with the volume of unit cell.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
CHXII01:THE SOLID STATE

318686 Copper crystallises in face centred cubic lattice with a unit cell length of \(361 \,\mathrm{pm}\). What is the radius of copper atom in pm?

1 157
2 181
3 108
4 128
CHXII01:THE SOLID STATE

318687 Number of unit cells in 16 g of Y (atomic mass \({\mathrm{=40 \mathrm{~u})}}\) which crystallises in bcc structure is \({\mathrm{x \times \mathrm{N}_{A}}}\). The value of \({\mathrm{x}}\) is ____ .
\({\mathrm{\left[\mathrm{N}_{\mathrm{A}}=\right.}}\) Avogadro number \({\mathrm{]}}\)

1 0.02
2 0.5
3 0.2
4 2
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CHXII01:THE SOLID STATE

318684 The edge length of a cubic unit cell of a metal having atomic weight 75 u is 5 \( \mathop {\rm{A}}^{\circ} \). If the density is \({\mathrm{2 \mathrm{~g} \mathrm{~cm}^{-3}}}\), then the radius of the metal atom is ____ pm. \({\mathrm{\left[\mathrm{N}_{\mathrm{A}}=6.0 \times 10^{23} \mathrm{~mol}^{-1}, \sqrt{3}=1.7\right]}}\)

1 602
2 450
3 212.5
4 425
CHXII01:THE SOLID STATE

318685 Statement A :
Density of the unit cell is same as the density of the substance.
Statement B :
Density of the unit cell has no relation with the volume of unit cell.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
CHXII01:THE SOLID STATE

318686 Copper crystallises in face centred cubic lattice with a unit cell length of \(361 \,\mathrm{pm}\). What is the radius of copper atom in pm?

1 157
2 181
3 108
4 128
CHXII01:THE SOLID STATE

318687 Number of unit cells in 16 g of Y (atomic mass \({\mathrm{=40 \mathrm{~u})}}\) which crystallises in bcc structure is \({\mathrm{x \times \mathrm{N}_{A}}}\). The value of \({\mathrm{x}}\) is ____ .
\({\mathrm{\left[\mathrm{N}_{\mathrm{A}}=\right.}}\) Avogadro number \({\mathrm{]}}\)

1 0.02
2 0.5
3 0.2
4 2
CHXII01:THE SOLID STATE

318684 The edge length of a cubic unit cell of a metal having atomic weight 75 u is 5 \( \mathop {\rm{A}}^{\circ} \). If the density is \({\mathrm{2 \mathrm{~g} \mathrm{~cm}^{-3}}}\), then the radius of the metal atom is ____ pm. \({\mathrm{\left[\mathrm{N}_{\mathrm{A}}=6.0 \times 10^{23} \mathrm{~mol}^{-1}, \sqrt{3}=1.7\right]}}\)

1 602
2 450
3 212.5
4 425
CHXII01:THE SOLID STATE

318685 Statement A :
Density of the unit cell is same as the density of the substance.
Statement B :
Density of the unit cell has no relation with the volume of unit cell.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
CHXII01:THE SOLID STATE

318686 Copper crystallises in face centred cubic lattice with a unit cell length of \(361 \,\mathrm{pm}\). What is the radius of copper atom in pm?

1 157
2 181
3 108
4 128
CHXII01:THE SOLID STATE

318687 Number of unit cells in 16 g of Y (atomic mass \({\mathrm{=40 \mathrm{~u})}}\) which crystallises in bcc structure is \({\mathrm{x \times \mathrm{N}_{A}}}\). The value of \({\mathrm{x}}\) is ____ .
\({\mathrm{\left[\mathrm{N}_{\mathrm{A}}=\right.}}\) Avogadro number \({\mathrm{]}}\)

1 0.02
2 0.5
3 0.2
4 2
CHXII01:THE SOLID STATE

318684 The edge length of a cubic unit cell of a metal having atomic weight 75 u is 5 \( \mathop {\rm{A}}^{\circ} \). If the density is \({\mathrm{2 \mathrm{~g} \mathrm{~cm}^{-3}}}\), then the radius of the metal atom is ____ pm. \({\mathrm{\left[\mathrm{N}_{\mathrm{A}}=6.0 \times 10^{23} \mathrm{~mol}^{-1}, \sqrt{3}=1.7\right]}}\)

1 602
2 450
3 212.5
4 425
CHXII01:THE SOLID STATE

318685 Statement A :
Density of the unit cell is same as the density of the substance.
Statement B :
Density of the unit cell has no relation with the volume of unit cell.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
CHXII01:THE SOLID STATE

318686 Copper crystallises in face centred cubic lattice with a unit cell length of \(361 \,\mathrm{pm}\). What is the radius of copper atom in pm?

1 157
2 181
3 108
4 128
CHXII01:THE SOLID STATE

318687 Number of unit cells in 16 g of Y (atomic mass \({\mathrm{=40 \mathrm{~u})}}\) which crystallises in bcc structure is \({\mathrm{x \times \mathrm{N}_{A}}}\). The value of \({\mathrm{x}}\) is ____ .
\({\mathrm{\left[\mathrm{N}_{\mathrm{A}}=\right.}}\) Avogadro number \({\mathrm{]}}\)

1 0.02
2 0.5
3 0.2
4 2