1.

Water is flowing continuously from a tap having an internal diameter 8 xx 10^(-3) m. The water velocity as it leaves the tap is 0.4 ms^(-1). The diameter of the water stream at a distance 2 xx 10^(-1) m below the tap is close to:

Answer»

`7.5 XX 10^(-3) m`
`9.6xx10^(-3)m`
`3.6xx10^(-3)m`
`5.0xx10^(-3)m`

Solution :From Bernoulli.s THEOREM
`P_(0)+1/2pv_(1)^(2)+pgh=P_(0)+1/2pv_(2)^(2)+0`
`v_(2)=SQRT(v_(1)^(2)+2gh)=sqrt(0.16+2xx10xx0.2)=2.03m//s`
From continuity equation `A_(2)v_(2)=A_(1)v_(1)`
`pi(D_(2)^(2))/4v_(2)=pi(D_(1)^(2))/4v_(1)`
`D_(2)D_(1)sqrt((v_(1))/(v_(2)))3.5510^(-3)m`
CORRECT choice : ( c)


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