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The height of mercury which exerts the s...

The height of mercury which exerts the same pressure as 20 cm of water column, is

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Pressure exerted by mercury column `(P_m)`
` = h_1d_1 g `
Pressure exerted by water column `(P_m)`
` = h_2 d_2 g `
Given `P_m = P_w rArr h_1 d_1 g = h_2 d_2 g rArr h_2 = (h_2d_2)/(d_1)`
` rArr h_1 = ((20 xx 10^(-2) m xx 10^3 kg m^(-3))/((13.6 xx 10^3 ) kg m^(-3))`
` = 1.48 xx 10^(-2) m = 1.48 cm.
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Knowledge Check

  • The height of mercury column of a barometer at the sea level is

    A
    76 m
    B
    76 cm
    C
    1 m
    D
    `0.76 ` mm

  • Which of the following water columns exerts the highest pressure on the bottom of the container?

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    10 km
    B
    100 m
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  • Which of the following water columns exerts the highest pressure on the bottom of the container ?

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    10 km
    B
    100 m
    C
    1000 mm
    D
    5000 m

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