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Metal M crystallizes into a fcc lattice with the edge length \( 4.0 \times 10^{-8} \, \text{cm} \). The atomic mass of the metal is ________ \( \text{g/mol} \). (Nearest integer)
(Use: \( N_A = 6.02 \times 10^{23} \, \text{mol}^{-1} \), density of metal, \( M = 9.03 \, \text{g} \, \text{cm}^{-3} \))

Given below are two statements:
Statement I: \( \mathrm{O_2}, \mathrm{Cu}^{2+} \) and \( \mathrm{Fe}^{3-} \) are weakly attracted by magnetic field and are magnetized in the same direction as magnetic field.
Statement II: \( \mathrm{NaCl} \) and \( \mathrm{H_2O} \) are weakly magnetized in opposite direction to magnetic field.
In the light of the above statements, choose the most appropriate answer from the option given below:

An element \( M \) crystallises in a body centred cubic unit cell with a cell edge of \( 300 \, \text{pm} \). The density of the element is \( 6.0 \, \text{g} \, \text{cm}^{-3} \). The number of atoms present in \( 180 \, \text{g} \) of the element is ________ \( \times 10^{23} \). (Nearest integer)

' \( x \) ' \( \text{g} \) of molecular oxygen (\( \text{O\(_2\)} \)) is mixed with \( 200 \, \text{g} \) of neon (\( \text{Ne} \)). The total pressure of the non-reactive mixture of \( \text{O\(_2\)} \) and \( \text{Ne} \) in the cylinder is \( 25 \, \text{bar} \). The partial pressure of \( \text{Ne} \) is \( 20 \, \text{bar} \) at the same temperature and volume. The value of ' \( x \) ' is ________.
[Given: Molar mass of \( \text{O\(_2\)} = 32 \, \text{g mol}^{-1} \). Molar mass of \( \text{Ne} = 20 \, \text{g mol}^{-1} \)]

Ionic radii of cation \( A^{+} \) and anion \( B^{-} \) are \( 102 \) and \( 181 \) \( \mathrm{pm} \) respectively. These ions are allowed to crystallize into an ionic solid. This crystal has cubic close packing for \( B^{-} \). \( A^{+} \) is present in all octahedral voids. The edge length of the unit cell of the crystal \( \mathrm{AB} \) is __________ \( \mathrm{pm} \). (Nearest Integer)

The distance between \( \text{Na}^+ \) and \( \text{Cl}^- \) ions in solid \( \text{NaCl} \) of density \( 43.1 \, \text{g}\,\text{cm}^{-3} \) is __________ \( \times 10^{-10} \, \text{m} \) (Nearest Integer)
(Given : \( N_A = 6.02 \times 10^{23} \, \text{mol}^{-1} \))

In a solid \( \mathrm{AB} \), \( \mathrm{A} \) atoms are in ccp arrangement and \( \mathrm{B} \) atoms occupy all the octahedral sites. If two atoms from the opposite faces are removed, then the resultant stoichiometry of the compound is \( {A_xB_y} \). The value of \( x \) is _______. [Nearest integer]

Atoms of element \( X \) form hcp lattice and those of element \( Y \) occupy \( \frac{2}{3} \) of its tetrahedral voids. The percentage of element \( X \) in the lattice is ______________. (Nearest integer)

The incorrect statement about the imperfections in solids is:

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JEE Main 2022 24th June Morning Shift

Atoms of element \( X \) form hcp lattice and those of element \( Y \) occupy \( \frac{2}{3} \) of its tetrahedral voids. The percentage of element \( X \) in the lattice is ______________. (Nearest integer)