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A barometer with a brass scale reads 755...

A barometer with a brass scale reads 755 mm on a day when the temperatures is `25^@C`. If the scale is correctly graduated at `0^@C`, find the true pressure at `0^@C` (interms of height of Hg) given that the coefficient of linear expansion of brass is `18xx10^(-6)//K`. Coefficient of cubical expansion of mercury`=182xx10^(-6)//K`.

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To solve the problem step by step, we will follow these calculations: ### Step 1: Understand the Problem We need to find the true pressure at 0°C in terms of the height of mercury (Hg) when the barometer reads 755 mm at 25°C. The scale is graduated at 0°C, and we have the coefficients of linear and cubical expansion for brass and mercury, respectively. ### Step 2: Calculate the Change in Length of the Brass Scale The reading of the barometer at 25°C is affected by the expansion of the brass scale. The formula for linear expansion is given by: ...
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