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The Solid State

Question
CBSEENCH12011334
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If 'a' stands for the edge length of the cubic system:simple cubic , body centred cubic and face centred cubic, then the ratio of radii of the spheres in these systems will be repsectively,

  • 1 half a semicolon space fraction numerator square root of 3 over denominator 4 end fraction a colon space fraction numerator 1 over denominator square root of 2 end fraction a
  • 1 half a space colon space square root of 3 space a space colon thin space fraction numerator 1 over denominator square root of 2 end fraction straight a
  • 1 half a space colon thin space fraction numerator square root of 3 over denominator 2 end fraction straight a space colon space fraction numerator square root of 2 over denominator 2 end fraction straight a
  • 1 straight a space colon space square root of 3 straight a end root colon space square root of 2 straight a

Solution

A.

1 half a semicolon space fraction numerator square root of 3 over denominator 4 end fraction a colon space fraction numerator 1 over denominator square root of 2 end fraction a

For simple cubic, 
a = 2r
r = a/2
For body centred cubic,
straight a space equals space fraction numerator 4 straight r over denominator square root of 3 end fraction straight r space equals space fraction numerator square root of 3 straight a end root over denominator 4 end fraction For space face space centred space cubic comma space straight a space equals space 2 square root of 2 straight r straight r space equals space fraction numerator straight a over denominator 2 square root of 2 end fraction
Hence, the ratio of radii in simple cubic, body centred cubic and face centred cubic is 
1 half a semicolon space fraction numerator square root of 3 over denominator 4 end fraction a colon space fraction numerator 1 over denominator square root of 2 end fraction a

Some More Questions From The Solid State Chapter

Refractive index of a solid is observed to have the same value along all directions. Comment on the nature of this solid. Would it show clevage property?

Classify the following solids in different categories based on the nature of intermolecular forces operating in them:
Potassium sulphate, tin, benzene, urea, ammonia, water, zinc
sulphate, graphite, rubidium, argon, silicon carbide.

Solid A is a very hard, electrical insulator in solid as well as in molten state and melts at extremely high temperature. What type of solid is it?

Ionic solids conduct electricity in liquid state but not in solid state. Explain.

What type of solids are electrical conductors, malleable and ductile?

Give the significance of a 'lattice point'.

Name the parameters that characterize a unit cell.

Distinguish between Hexagonal and monoclinic unit cells.

Distinguish between Face-centred and end-centred unit cells.

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