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If Water Be Used to Construct a Barometer, What Would Be the Height of Water Column at Standard Atmospheric Pressure (76 Cm of Mercury)?

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प्रश्न

If water be used to construct a barometer, what would be the height of water column at standard atmospheric pressure (76 cm of mercury) ?

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उत्तर

Case: When water is used in a barometer instead of mercury
Pressure exerted by 76 cm of mercury column, P = 76 × 13.6 × g dyn/cm2
Density of water, \[\rho_w\]  = 103 kg/m

Let h be the height of the water column 
\[\because \text{ P = h }\rho_\text{w g} \]

\[ \therefore 76 \times 13 . 6 \times g = h \times \rho_\text{w} \times g\]

\[ \Rightarrow \text{h} = \frac{76 \times 13 . 6}{1}\]

\[ \Rightarrow \text{ h } = 1033 . 6 \text{ cm }\]

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अध्याय 13: Fluid Mechanics - Exercise [पृष्ठ २७३]

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एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
अध्याय 13 Fluid Mechanics
Exercise | Q 6 | पृष्ठ २७३

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