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Water and oil are poured into the two li...

Water and oil are poured into the two limbs of a U-tube containing mercury. The interface of the mercury and the liquids are at the same height in both limbs.
Determine the height of the water column`h_(1)` if that of the oil `h_(2)=20cm`. The density of the oil is `0.9`.
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Text Solution

Verified by Experts

The correct Answer is:
18 cm
`p_(0)+rho_(1)gh_(1)=p_(0)+rho_(2)gh_(2)`
`:. h_(1)=(rho_(2)h_(2))/(rho_(1))`
`=(20xx0.9)/(1)`
`=18cm`.
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Knowledge Check

  • A U-tube contains water and oil separated by mercury. The mercury columns in the two arms are at the same level with 10 cm of water in one arm and 12.5 cm of oil in the other, as shown in figure. What is the relative density of oil ?

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    B
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    C
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    D
    2.32 cm

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

    A
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    B
    14.8cm
    C
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    D
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