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The coefficient of expansion of a crystal in one direction (x-axis) is 2.0x 10-6 K-1 and that in the other two perpendicular (y-and z-axes) direction is 1.6 x 10-6 K-1 What is the coefficient of cubical expansion of the crystal?

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a

1.6×10−6K−1

b

1.8×10−6K−1

c

2.0×10−6K−1

d

5.2×10−6K−1

answer is D.

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Detailed Solution

Coefficient of cubical expansion isγ=αx+αy+αz=αx+2αy ∵αy=αz=2.0×10−6+2×1.6×10−6=5.2×10−6K−1Hence the correct choice is (4).

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The coefficient of expansion of a crystal in one direction (x-axis) is 2.0x 10-6 K-1 and that in the other two perpendicular (y-and z-axes) direction is 1.6 x 10-6 K-1 What is the coefficient of cubical expansion of the crystal?