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The Solid State

Question
CBSEENCH12011368
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The fraction of totoal volume occupied by the atoms present in a simple cube is: 

  • π/6

  • fraction numerator straight pi over denominator 3 square root of 2 end fraction
  • fraction numerator straight pi over denominator 4 square root of 2 end fraction

  • π /4

Solution

A.

π/6

For simple cubic
space Radius space left parenthesis straight r right parenthesis space equals space straight a over 2 Volume space of space the space atom space space equals space 4 over 3 straight pi open parentheses straight a over 2 close parentheses cubed Packing space fraction space equals space open parentheses fraction numerator 4 over 3 straight pi open parentheses straight a over 2 close parentheses cubed over denominator straight a cubed end fraction close parentheses space equals space straight pi over 6

Some More Questions From The Solid State Chapter

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.

What is the two-dimensional coordination number of a molecule in square close packed layer ?

A compound is formed by two elements M and N. The element N forms ccp and atoms of M occupy 1/3 of tetrahedral voids. What is the formula of the compound?

Which of the following lattices has the highest packing efficiency:

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