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MHT CET 202621 AprilEvening Shift
Exam
MHT CET
Year
2026
Date
21 April
Shift
Evening Shift
Subject
Chemistry
Chapter
Solid State

MHT CET 2026 · 21 April · Evening Shift · Chemistry · Solid State

If the edge length of a bcc unit cell is 300\ pm . Calculate the...

If the edge length of a bcc unit cell is 300 pm300\ \text{pm}. Calculate the body diagonal.

Options

  1. A600 pm600\ \text{pm}
  2. B423 pm423\ \text{pm}
  3. C519.6 pm519.6\ \text{pm}
  4. D450.4 pm450.4\ \text{pm}

Correct answer

C. 519.6 pm519.6\ \text{pm}

Step-by-step solution

For a cubic unit cell, the length of the body diagonal is given by 3a\sqrt{3}a, where aa is the edge length of the unit cell.

Given a=300 pma = 300\ \text{pm}.

Body diagonal = 3×300 pm\sqrt{3} \times 300\ \text{pm}

Substituting 3≈1.732\sqrt{3} \approx 1.732:

Body diagonal = 1.732×300 pm=519.6 pm1.732 \times 300\ \text{pm} = 519.6\ \text{pm}

Answer: 519.6 pm519.6\ \text{pm}
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