1.

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`

Answer» Correct Answer - 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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