1.

A vessel completely filled wit water is suspended with help of strings from a spring balance as shwon in figure. A cork is plugged at the bottom of the vessel. If the initial reading of the spring balannce is W_(0). Then the reading of the spring balance just after the cork is removed and the liquid begins to flow out will be [rho= density of liquid & A=coss -sectional area of narrow pipe]

Answer»

`W_(0)+rhogHA`
`W_(0)+2rhogHA`
`W_(0)-rhogHA`
`W_(0)-2rhogHA`

Solution :Momentum of water FOLLOWING out of the TUBE in time `Delta=Deltap=rhoAv^(2)Deltat` where `v=sqrt(2gH)`
`thereforeFDeltat=Deltap=rhoAv^(2)Deltat`
or `F=rhoAv^(2)=2rhogHA`
`therefore` READING of spring balance `=W_(0)-2rhogHA`


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