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IIT JEE 2008
Paper II


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: Multiple choice

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Paragraph for Question Nos. 61 to 63

In hexagonal systems of crystals, a frequently encountred arrangement of atoms is described as a hexagonal prism. Here, the top and bottom of the cell are regular hexagons and three atoms are sandwiched in between them. A space-filling model of this structure, called hexagonal close-packed (HCP), is constituted of a sphere on a flat surface surrounded in the same plane by six identical spheres as closly as possible. Three spheres are then placed
over the first layer so that they touch each other and represent the second layer. Each one of these three spheres touches three spheres of the bottom layer. Finally, the second layer is covered with a third layer that is identical to the bottom layer in relative position. Assume radius of every sphere to be 'r'.

1.

61.The number of atoms in this HCP unit cell is

  4

  6

  12

  17

  Half-n-half Clue
 

2.

62.The volume of this HCP unit cell is -

  16√2 r3

  24√2 r3

 
64

3√3
r3

  12√2 r3

  Half-n-half Clue
 

3.

63. The empty space in this HCP unit cell is

  74%

  47.6%

  32%

  26%

  Half-n-half Clue
 


 
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