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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 leves 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 . 5 xx 10 ^(-3) m`

C

` 9 . 6 xx 10 ^(-3) m `

D

`3 . 6 xx 10 ^(-3) m`

Text Solution

Verified by Experts

The correct Answer is:
D
` v_(1) = 0.4 m//s `
`v_(2) = sqrt(v_(1) ^(2) + 2 gh) = sqrt( (0.4) ^(2) + 2 xx 10 xx 0.2) = 2 m //s `
`A v_(1) = A_(2) v_(2)`
`rArr pi ((8 xx 10 ^(-3))/(2))^(2) xx 0 . 4 = pi xx (d^(2))/( 4) xx 2 `
`rArr d = 3 . 6 xx 10 ^(-3) m`
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