A barometer reads 75 cm on a steel scale. The room temperature is `30^(@)C`. The scale is correctly graduated for `0^(@)C`. Find the correct atmosphere pressure. Given that coefficient of linear expansion of steel is `1.1xx10^(-5).^(@)C^(-1)` and that of cubical expansion of mercury is `1.8xx10^(-4).^(@)C^(-1)`. Neglect expansion of glass tube.

Explanation

To find the correct atmospheric pressure based on the barometer reading, we need to account for the thermal expansion of the steel scale and the mercury in the barometer. Here’s a step-by-step solution:

### Step 1: Understand the Problem
The barometer reads 75 cm at a temperature of 30°C, but the scale is graduated for 0°C. We need to find the correct atmospheric pressure by adjusting the reading for thermal expansion.

### Step 2: Calculate the Expansion of the Steel Scale
The linear expansion of the steel scale can be calculated using the formula:
\[
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