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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?

a
1.6×10−6K−1
b
1.8×10−6K−1
c
2.0×10−6K−1
d
5.2×10−6K−1

detailed solution

Correct option is D

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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