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Mechanical Properties Of Fluids

Question
CBSEENPH11026335

The lower end of capillary tube is immersed in mercury. The level of mercury in the tube is found to be 2 cm below the outer level. If the same tube is immersed in water, upto what height will the water rise in the capillary?

  • 5.9

  • 4.9

  • 2.9

  • 1.9

Solution

C.

2.9

    hHg - height of the mercury

     hw - height of water     

        hHg2 THg cosθHgg r ρHg

and    hw2Tw cosθHg g r ρw

where, the symbols have their usual meanings

 Now, 

           hwhHg = hwhHg × ρHgρw × cos θwcos θHg

                  = 0.0750.465 × 13.6 × cos 0ocos 40o

           hwhHg = 2.9