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A cylindrical vessel with a circular hol...

A cylindrical vessel with a circular hole of radius 0.2mm in its bottom, is filled with water. If surface tension of water is equal to 70 dyne cm-, density of water is lg `cm^(-3)` and g is equal to 980 cms-2 then the maximum height to which the vessel can be filled without water flowing out of the hole is 'x' (3.57) cm. Find x

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Knowledge Check

  • Water rises to a height of 6.6cm in a capillary tube of radius 0.2mm. The surface tension of water is (g=10ms^(-2)) .

    A
    `6.5xx10^(-3)N//m`
    B
    `6.5xx10^(-2)N//m`
    C
    `6.5xx10^(-4)N//m`
    D
    `6.5xx10^(-1)N//m`
  • The pressure in air bubble just below the water surface is (Surface tension of water is 72 dyne cm^(-3) and atmospheric pressure 1 xx 10^5 Nm^(-2) ,Radius of bubble = 0.1mm)

    A
    `1.0144 xx 10^5 Nm^2`
    B
    `2.0274 xx 10^5 Nm^(-2)`
    C
    Zero
    D
    `3.0274 xx 10^5 Nm^(-2)`
  • Water is filled into a container with hexagonal cross section of side 6 cm. If the surface tension of water is 0.075 Nm^(-1) then the surface energy of water will be

    A
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    B
    `2.8 xx 10^(-4 )J`
    C
    `6.4 xx 10^(-4) J`
    D
    `7 xx 10^(-4) J`
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