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Question

# What height of water column will exert the pressure on its base, same as that by 76 cm of mercury column ? (density of mercury 13.6 g cm-3)

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Solution

## Pressure at the place remains the same for both water and mercury. Pressure exerted by mercury = density of mercury * height of mercury column * g (acc. due to gravity) => Pressure exerted by mercury = 13.6 * 76 * g => Pressure exerted by mercury = 1033.6 g Pressure exerted by water = density of water * height of water column * g (acc. due to gravity) => Pressure exerted by water = 1 * h *g => Pressure exerted by water = h g. Now, According to question, 1033.6 * g = h* g => h = 1033.6 cm. Therefore, the height of water column which will exert on its base the same pressure as the 76 cm column of mercury is 1033.6 cm..

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