Question
Calculate the radius of atom of metal forming fcc unit cell having edge length 360 pm
MHT CET
Chemistry
Solid State
2026
MHT CET 2026 (20 April Shift 1)
MHT CET Chemistry Question (2026) — Solution
Options
- A. 180.04 pm
- B. 127.26 pm
- C. 155.91 pm
- D. 254.67 pm
Answer
B. 127.26 pm
Step-by-step solution
For a face-centered cubic (fcc) unit cell, the atoms touch each other along the face diagonal. The relationship between the edge length a and the atomic radius r is given by: 2 a = 4r r = a 2 2 Given a = 360 pm: r = 360 2 2 = 90 2 Using 2 = 1.414: r = 90 1.414 = 127.26 pm Answer: 127.26 pm
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