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Water is flowing continuously from a tap...

Water is flowing continuously from a tap having an internal dimeter `8xx10^(-3) m` . The water then, water rises up in it leaves the tap is `0.4 ms^(-1)` . The diameter of the water stream at a distance `2xx10^(-1)`m beblow the tap is close to

A

`7.5xx10^(-3) m`

B

`9.6xx10^(-3) m`

C

`3.6xx10^(-3) m`

D

`5.0xx10^(-3) m`

Text Solution

Verified by Experts

From Bernoulli's theorme `rhogh=(1)/(2)rho(v_(2)^(2)-v_(1)^(2))`
`rArr gh=(1)/(2) v_(1)^(2)[((v_(2))/(v_(1)))^(2)-1]=(1)/(2)v_(1)^(2)[(A_(1)/A_(2))^(2)-1]`
" " `( :.a_(1)v_(1)=A_(2)v_(2))`
`rArr" " ((A_(1))/(A_(2)))^(2)=1+(2hg)/(v_(1)^(2))`
`rArr" " ((D_(1)^(2))/(D_(2)^(2)))^(2)=1+(2gh)/(v_(1)^(2))`
`rArrD_(2) (D_(1))/((1+(2gh)/(v_(1)^(2)))^(1//4))=(8xx10^(-3))/((1+(2xx10xx0.2)/((0.4)^(2))))=3.6xx10^(-3)m`
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