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Volume occupied by the particles of a unit cell (from cell volume, edge length or radius)

This type of question, asked 13 times: 3 May 2023 S1, 9 May 2023 S1, 15 May 2023 S1, 15 May 2023 S2, 19 Apr 2025 S2, 20 Apr 2025 S2, 22 Apr 2025 S1, 22 Apr 2025 S2, 23 Apr 2025 S1, 25 Apr 2025 S2, 17 Apr 2026 S1, 20 Apr 2026 S2, 14 May 2026 S1. All 13 questions below, oldest first.

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  1. Question 1

    3 May 2023 S1

    86
    Calculate the volume occupied by all atoms in bcc unit cell if the volume of unit cell is 1.5×10−22 cm31.5\times10^{-22}\ \text{cm}^3.

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  2. Question 2

    9 May 2023 S1

    72
    What is the relation between edge length and total volume occupied by atoms in bcc unit cell?

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  3. Question 3

    15 May 2023 S1

    87
    Calculate the total volume occupied by all atoms in simple cubic unit cell if radius of atom is 3×10−83 \times 10^{-8} cm.

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  4. Question 4

    15 May 2023 S2

    92
    What is the volume of one particle in BCC structure if 'a' is edge length?

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  5. Question 5

    19 Apr 2025 S2

    62
    The volume occupied by a particle in a simple cubic unit cell is 2.1×10−23 cm32.1\times 10^{-23}\,\text{cm}^3. Calculate the value of xx if the volume of the unit cell is x×10−23 cm3x\times 10^{-23}\,\text{cm}^3. (Use π=22/7\pi = 22/7.)

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  6. Question 6

    20 Apr 2025 S2

    52
    Calculate the volume occupied by a particle in bcc unit cell if the volume of unit cell is 8.2×10−23 cm38.2 \times 10^{-23}\ \text{cm}^3.

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  7. Question 7

    22 Apr 2025 S1

    54
    Calculate the volume occupied by all particles in fcc unit cell if volume of unit cell is 1.6×10−23 cm31.6 \times 10^{-23}\ \mathrm{cm^3}.

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  8. Question 8

    22 Apr 2025 S2

    57
    Calculate the volume occupied by a particle in fcc unit cell if volume of unit cell is 1.6×10−23 cm31.6 \times 10^{-23}\ \mathrm{cm^3}.

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  9. Question 9

    23 Apr 2025 S1

    65
    Calculate the volume occupied by all particles in bcc unit cell if the volume of unit cell is 8.0×10−23 cm38.0 \times 10^{-23}\,\text{cm}^3.

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  10. Question 10

    25 Apr 2025 S2

    76
    Calculate the total volume occupied by all particles in fcc unit cell if volume of unit cell is 6.4×10−23 cm36.4 \times10^{- 23}{\text{ }cm}^{3}

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  11. Question 11

    17 Apr 2026 S1

    19
    Find the volume occupied by a particle in a simple cubic unit cell if the radius of a particle in it is 190 pm.

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  12. Question 12

    20 Apr 2026 S2

    20
    A metal has a fcc structure if the edge length of unit cell is 200 pm, calculate the volume occupied by particles in a unit cell.

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  13. Question 13

    14 May 2026 S1

    17
    Calculate the volume occupied by particles of a fcc unit cell if the radius of the atom present in it is 100100 pm.

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