Density & Packing Fraction Recommended PYQs (STRICTLY NCERT Based) The Solid State (OLD NCERT) Chemistry NEET Practice Questions, MCQs, Past Year Questions (PYQs), NCERT Questions, Question Bank, Class 11 and Class 12 Questions, and PDF solved with answers

A compound is formed by two elements A and B. The element B forms cubic close-packed structure and atoms of A occupy 1/3 of tetrahedral voids. If the formula of the compound is $A_x B_y $ then the value of x+y is in option
1. 2
2. 5
3. 4
4. 3

Subtopic: Density & Packing Fraction |

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How are edge length 'a' of the unit cell and radius 'r' of the sphere related to each other in ccp structure?
(Choose correct option for your answer)

1.	$a = 2r$	2.	$a = r /2\sqrt2$
3.	$a = 4r /\sqrt3$	4.	$a = 2\sqrt2r$

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Copper crystallises in fcc unit cell with a cell edge length of $3.608 \times 10^{-8}$ cm. The density of copper is $8.92 \ g ~cm^{-3}$. The atomic mass of copper is:

1. 65 u
2. 63.1 u
3. 31.55 u
4. 60 u

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An element has a body-centered cubic (BCC) structure with a cell edge of 288 pm. The atomic radius is:

1. $\frac{\sqrt{2}}{4} \times 288$ pm

2. $\frac{4}{\sqrt{3}} \times 288$ pm

3. $\frac{4}{\sqrt{2}} \times 288$ pm

4. $\frac{\sqrt{3}}{4} \times 288$ pm

Subtopic: Introduction & Crystal System | Density & Packing Fraction |

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The formula of nickel oxide with metal deficiency defect in its crystal is $N i_{0.98} O$ . The crystal contains ${Ni}^{2 +} and {Ni}^{3 +}$ ions. The fraction of nickel existing as $N i^{2 +}$ ions in the crystal is-

1. 0.96

2. 0.04

3. 0.50

4. 0.31

Subtopic: Density & Packing Fraction |

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Iron exhibits bcc structure at room temperature. Above 900 °C, it transforms to fcc structure. The ratio of density of iron at room temperature to that at 900 °C is:

(Molar mass and atomic radii of iron remain constant with temperature)

1. $\frac{\sqrt{3}}{\sqrt{2}}$

2. $\frac{4 \sqrt{3}}{3 \sqrt{2}}$

3. $\frac{3 \sqrt{3}}{4 \sqrt{2}}$

4. $\frac{1}{2}$

Subtopic: Density & Packing Fraction |

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Lithium has a bcc structure. Its density is 530 kg m^-3 and its atomic mass is 6.94 g mol^-1. The edge length of a unit cell of lithium metal is:
(N_A= 6.02 X 10²³ mol^-1)

1. 352 pm

2. 527 pm

3. 264 pm

4. 154 pm

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A given metal crystallizes out with a cubic structure having an edge length of 361 pm. If there are four metal atoms in one unit cell, the radius of one atom is:

1. 40 pm
2. 127 pm
3. 80 pm
4. 108 pm

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A metal has a fcc lattice. The edge length of the unit cell is 404 pm. The density of the metal is 2.72 g cm^–3. The molar mass of the metal is:

(N_A Avogadro's constant = 6.02 × 10²³ mol^–1)

1. 30 g mol^–1
2. 27 g mol^–1
3. 20 g mol^–1
4. 40 g mol^–1

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A metal crystallizes with a fcc lattice. The edge of the unit cell is 408 pm. The diameter of the metal atom is:

1. 288 pm

2. 408 pm

3. 144 pm

4. 204 pm

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1.	\(a = 2r\)	2.	\(a = r /2\sqrt2\)
3.	\(a = 4r /\sqrt3\)	4.	\(a = 2\sqrt2r\)

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