A siphon has a uniform circular base of diameter `8//sqrt(pi) cm` with its crest `A, 1.8 m` above the water level vessel `B` is of large cross section (`g= 10 m//s^(2)` and atmospheric pressure `P_(0) = 10^(5) N//m^(2))`.

Options

A. Velocity of flow through pipe is ` 6sqrt2 m//s `
B. Discharge rate of flow through pipe is ` 96sqrt2 xx 10 ^(-4) m ^3//s `
C. Velocity of flow through pipe is 6 m/s
D. Pressure at A is ` 0.46 xx 10 ^(5) N//m^ 2 `

Answer

A, B, D

Explanation

Apply Bernoulli's equation at C and D,
`P_(0)+0+rhog(3.6)=P_(0)+(1)/(2)rhov^(2)+0Rightarrow" "v=6sqrt(2)m//s`
Volume flown per unit time =`av=pir^(2)v`
`=96sqrt(2)xx10^(-4)m^(3)//s`
Similarly, at A and C,
`P_(A)+(1)/(2)rhov^(2)+rhog(3.6+1.8)=P_(0)+(1)/(2)rhov^(2)+0" "Rightarrow" "P_(A)=0.46xx10^(5)N//m^(2)`