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NEET2008ChemistryChemical KineticsActual

If ' a ' stands for the edge length of the cubic systems : simple cubic, body centred cubic and face centred cubic, then the ratio of radii of the spheres in these systems will be respectively,

Options

  1. A1 2 a : 3 4 a: 1 2 2 a
  2. B1 2 a: 3 a: 1 2 a
  3. C1 2 a: 3 2 a: 2 2 a
  4. D1 a: 3 a: 2 a

Correct answer

A. 1 2 a : 3 4 a: 1 2 2 a

Step-by-step solution

For simple cubic, aligned & a & =2 r & r & = a 2 aligned For body centred cubic, aligned & a= 4 r 3 & r= 3 a 4 aligned For face centred cubic, aligned & a=2 2 r & r= a 2 2 aligned Hence, the ratio of radii in simple cubic, body centred cubic and face centred cubic is a 2 : 3 a 4 : a 2 2

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