First slide

Thermal expansion

Question

A non- isotropic solid metal cube has coefficients of linear expansion as: $5 \times 10^{- 5} /^{0} C$ along the x-axis and $5 \times 10^{- 6} /^{0} C$ along the y and the z-axis. If coefficient of volume expansion of the solid $C \times 10^{- 6} /^{0} C$ then the value of C is _________

Moderate

Solution

$\begin{array}{l} c o e f f i c i e n t o f v o l u m e e x p a n s i o n γ = α_{x} + α_{y} + α_{z} \\ \Rightarrow γ = 2 α_{y} + α_{x} = 2 (5) \times 10^{- 6} + 5 \times 10^{- 5} = 10 \times 10^{- 6} + 50 \times 10^{- 6} = 60 \times 10^{- 6} {}^{0}C^{- 1} \end{array}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App