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Radius of an atom from the edge length of a cubic unit cell

This type of question, asked 14 times: 2 May 2023 S2, 4 May 2023 S1, 11 May 2023 S2, 9 May 2024 S2, 10 May 2024 S2, 11 May 2024 S2, 13 May 2024 S2, 26 Apr 2025 S2, 11 Apr 2026 S1, 19 Apr 2026 S1, 20 Apr 2026 S1, 12 May 2026 S2, 13 May 2026 S2, 19 May 2026 S1. All 14 questions below, oldest first.

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  1. Question 1

    2 May 2023 S2

    81
    Calculate the radius of an atom of metal if it forms simple cubic unit cell with edge length 380 pm.

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  2. Question 2

    4 May 2023 S1

    91
    Calculate the radius of metal atom if it forms bcc unit cell having edge length 530 pm.

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  3. Question 3

    11 May 2023 S2

    85
    What is atomic radius of an element if it crystallises in BCC structure with edge length of unit cell 287 pm?

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  4. Question 4

    9 May 2024 S2

    75
    Find the radius of metal atom in simple cubic unit cell having edge length 334.7 pm?

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  5. Question 5

    10 May 2024 S2

    95
    Find the radius of an atom in fcc unit cell having edge length 393 pm.

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  6. Question 6

    11 May 2024 S2

    86
    Find the radius of an atom in fcc unit cell having edge length 405 pm

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  7. Question 7

    13 May 2024 S2

    90
    Find the radius of metal atom in bcc unit cell having edge length 450 pm.

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  8. Question 8

    26 Apr 2025 S2

    67
    Calculate the radius of an atom of an element in pm if it forms bcc unit cell structure having edge length 4.3×10−8 cm4.3 \times 10^{-8}\ \text{cm}.

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  9. Question 9

    11 Apr 2026 S1

    16
    Pt has FCC structure with an edge length of unit cell 392392 pm. What is the radius of Pt?

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  10. Question 10

    19 Apr 2026 S1

    19
    Gold crystallizes as fcc unit cell, the edge length of unit cell is 408408 pm. What is the radius of gold atom?

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  11. Question 11

    20 Apr 2026 S1

    20
    Calculate the radius of atom of metal forming fcc unit cell having edge length 360360 pm

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  12. Question 12

    12 May 2026 S2

    20
    Sodium crystallizes in the bcc structure. If the edge length of a unit cell is 4.3×10−84.3 \times 10^{-8} cm, calculate the radius of an atom.

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  13. Question 13

    13 May 2026 S2

    23
    Copper crystallises in a face-centred cubic lattice with a unit cell length of 361361 pm. What is the radius of copper atom in pm?

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  14. Question 14

    19 May 2026 S1

    23
    Calculate the radius of a particle present in fcc unit cell having edge length 200200 pm.

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