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Water is flowing continuously from a tap...

Water is flowing continuously from a tap having an internal diameter `8xx10^(-3)`m. The water velocity as it leaves the tap is `0.4 ms^(-1)`. The diameter of the water stream at a distance `2xx10^(-1)`m below the tap is close to `(g=10m//s^(2))`

A

`5.0 xx 10^(-3)` m

B

`7.5xx10^(-3)` m

C

`9.6xx10^(-3) m`

D

`3.6xx10^(-3)` m

Text Solution

Verified by Experts

The correct Answer is:
D
Here , `d_(1)=8xx10^(-3) m`,
`v_(1)=0.4 m s^(-1), h=0.2m`
According to equation of motion,
`v_(2)=sqrt(v_(1)^(2)+2gh)=sqrt((0.4)+2xx10xx0.2)`
`~~ 2 m s^(-1)`
According to equation of continuity, `A_(1)v_(1)=A_(2)v_(2)`
`therefore pixx((8xx10^(-3))/(2))^(2)xx0.4=pixx((d_(2))/(2))^(2)xx2`
or `d_(2)=3.6xx10^(-3) m`
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