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The coefficient of cubical expansion of ...

The coefficient of cubical expansion of mercury is `0.00018//""^(@)C` and that of brass `0.00006//""^(@)C`. If a barometer having a brass scale were to read 74.5 cm at `30^(@)C` find the true barometric height (in cm) at `0^(@)C`. Tlhe scale is supposed tobe correct at `15^(@)C`.

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To find the true barometric height at \(0^\circ C\) when a barometer reads \(74.5\) cm at \(30^\circ C\) using a brass scale, we will follow these steps: ### Step 1: Determine the Coefficient of Linear Expansion of Brass The coefficient of cubical expansion (\(\gamma\)) of brass is given as \(0.00006 \, ^\circ C^{-1}\). We can find the coefficient of linear expansion (\(\alpha\)) using the relationship: \[ \alpha = \frac{\gamma}{3} \] Substituting the value of \(\gamma\): ...
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