Questions

Density of a substance at ${0}^{0}C$  is  $10.6gm/c.c$ and at  ${100}^{0}C$ is $10gm/c.c$ . Coefficient of linear expansion of solid is

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a
0.0006/0C
b
0.0004/0C
c
0.0003/C  0
d
0.0002/C  0
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detailed solution

Correct option is D

coefficient of volume expansion of solid is γ=ρ1−ρ2ρ2Δt here ρ1 is density at 00C=10.6gm/cc  ρ2 is density at 1000C=10 gm/cc Δt is change in temperature and γ=3α substitute these values in above equation ⇒3α=10.6-1010(100-0) α=0.63000 α=2×10−4=0.0002/0C

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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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