First slide

Thermal expansion

Question

A crystal has linear coefficient of expansion $9 \times 10^{- 5}, 12 \times 10^{- 5}, 7 \times 10^{- 5} / K$ along three mutually perpendicular directions the volume expansion coefficient is

Moderate

A

$27 \times 10^{- 5} / K$
B

$26 \times 10^{- 5} / K$
C

$21 \times 10^{- 5} / K$
D

$28 \times 10^{- 5} / K$

Solution

$c o e f f i c i e n t o f v o l u m e e x p a n s i o n o f c r y s t a l i s γ = α_{x} + α_{y} + α_{z} α_{x}, α_{y}, α_{z} c o e f f i c i e n t o f l i n e a r e x p a n s i o n o f c r y s t a l a l o n g m u t u a l l y p e r p e n d i c u l a r d i r e c t i o n s γ = 9 \times 10^{- 5} + 12 \times 10^{- 5} + 7 \times 10^{- 5} γ = 28 \times 10^{- 5} / K$

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