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In a given U tube open at left end and c...

In a given `U` tube open at left end and closed at right end, if the pressure above the liquid the right arm is `p` find the value of `p`. Given `d_(2)=2xx13.6g//cm^(3), d_(1)=13.6g//cm^(3)`. Atmosphere pressure `p_(a)=76cm` of `Hg`.

Text Solution

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The line `AB` is passing through the same liquid. Hence, the pressure in the liquid at the same level is the same, i.e, at `A` and `B` the pressure will be equal. The manometric equation is
`p_(a)+d_(2)yg+d_(1)xg=p`
`implies p_(a)+13.6xx2xx0.25xxg+13.6xx26xxg=p`
`p_(a)+13.6xxg/100[50+26]=p`
`implies p=2xx13.6xxg76/100[:'p_(a)=13.6xxgxx76/100]`
`=2p_(a)`
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