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Water is flowing continuously from a tap...

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 m s^(-1)`. The diameter of the water stream at a distance `2 xx 10^(-1)` m below the tap is close to

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
Diameter `= 8 xx 10^(-3)m`
`v = 0.4 m//s`
`v = sqrt(u^(2) +2gh)`
`= sqrt((0.4)^(2) + 2 xx 10 xx 0.2) = 2 m//s`
`A_(1)v_(1) = A_(2)v_(2)`
`pi((8 xx 10^(-3))/(2))^(2) xx 0.4 = pi xx d^(2)/(4) xx 2`
`d approx 3.6 xx 10^(-3)m`.
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