1. Which of the following is not true for crystallographic axes?

a) They must be parallel to the edges of the unit cell

b) They must be perpendicular to each other

c) They must originate at one of the vertices of the cell

d) They form a right-handed co-ordinate system

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2. The point coordinate indices q, r, and s are multiples of:

a) Unit cell edge lengths

b) Distance between nearest neighbours

c) Cosine of angles between unit cell edges

d) None of the mentioned

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3. The point coordinates of the vertex just opposite to the origin are

a) 0 0 0

b) 0 0 1

c) 0 1 1

d) 1 1 1

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4. If x, y, and z are three positive axes of the crystallographic coordinate system with origin at point A, then which line points in the direction [1 0 1̅] ?

a) AD

b) CH

c) FB

d) GE

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5. In the following diagram, what is the direction cosine of the line EB?

a) [1 1̅ 1̅]

b) [1̅ 1̅ 1̅]

c) [1 1 1]

d) [1 0 0]

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6. In cubic crystals, crystallographic directions are arranged in families. Which of the following directions does not belong to the family <110> ?

a) [1 0 1]

b) [1̅ 1 0]

c) [1̅ 0 1̅]

d) None of these

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7. Convert [2 1̅ 1̅ 1] from four-index system to three-index system.

a) [2 1 0]

b) [3 0 1]

c) [1̅ 1̅ 1]

d) [1̅ 2 1]

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8. Miller indices of the hatched plane in the following figure are:

a) (2 3 1)

b) (3 2 1)

c) (3 2 0)

d) (1 1 1)

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9. Which of the following is a property of Miller indices?

a) They uniquely identify a plane

b) They are always positive

c) They are not fractions

d) None of the mentioned

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10. Miller indices for perpendicular planes are always the same.

a) True

b) False

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