If mercury in a barometer is replaced by water,the height of 3.75cm of mercury will be following cm of water
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The height of the mercury column is 3.75cm which is given in the question while we know that the density of the water is 1000 kg/m^3 and the density of the mercury is 13600 kg/m^3.
We can use the formulae of Pressure p = density d* height h * acceleration due to gravity g. Hence, equating both the equations once with water and again with mercury we will get the height of the water column.
So, in the ratio we will get h1/h2 = d2 / d1.
3.75/h2 = 1000/13600 which will be equal to 51 cm of the water column.
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