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JEE Main201911 Jan 2019Evening ShiftChemistrySolid StateActual

The radius of the largest sphere which fits properly at the centre of the edge of a body centred cubic unit cell is : (Edge length is represented by 'a')

Options

  1. A0.027 a
  2. B0.047 a
  3. C0.134 a
  4. D0.067 a

Correct answer

D. 0.067 a

Step-by-step solution

For bcc R = 3 a 4 Empty space at edge =a-2 R=a- 3 a 2 = diameter of sphere. r _ sphere = a- 3 2 a 2 = ( 2- 3 4 ) a =0.067 a

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