1.

Figure shows as thin tube open at one end rotating with constant angular speed omega. The other end of the tube has a small opening. Tube contains a fluid of density rho which effuses with speed u relative to the tube. Let rho_(A) be the pressure at the point in the tube just behind the opening. Assume the atmospheric pressure to be p_(0) and pick correct option(s) for the instant when h=l/2

Answer»

<P>`p_(A)=p_(0)+(rho omega^(2)l^(2))/4`
`p_(A)=p_(0)+3/8rho omega^(2) l^(2)`
`U=(omega l)/2`
`u=(SQRT(3))/2 OMEGAL`

Solution :By Newton's second law,
`(p_(A)-p_(0))s=rhoshomega^(2)(l-h/2)`
`impliesp_(A)=p_(0)+rho omega^(2)h(l- h/2)`
By Bernoulli's equation
`u=omegasqrt(2h(l-h/2))`


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