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Water from a tap emerges vertically down...

Water from a tap emerges vertically downwards an intial speed of 1 m/s . The cross-sectional area of the tap is `10^(-4)m^(2)` . Assume that the pressure is contant throughout the stream of water and that the flow is steady . The cross-sectional area of the steam. `0.15` m below the tap is

Text Solution

Verified by Experts

Using Bernoullie.s equation
`P+1/2(v_(1)^(2)-v_(2)^(2))+rhogh=P`
`impliesv_(2)^(2)=v_(1)^(2)+2gh`
`impliesv_(2)=sqrt(v_(1)^(2)+2gh)`
Equation of continuity
`A_(1)v_(1)=A_(2)v_(2)`
`(1cm^(2))(1m//s)=(A_(2))(sqrt((1)^(2)+2xx10xx12/100))`
`10^(-4)xx1=A_(2)xx2`
`:.A_(2)=(10^(-4))/2=5xx10^(-5)m^(2)`
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