Fountains usually seen in gardens are generated by a wide pipe with an enclosure at one end having many small holes. Consider one such fountain which is produced by a pipe of internal diameter 2 cm in which water flows at a rate `3ms^(-1)`. The enclosure has 100 holes each of diameter 0.05 cm. The velocity of water coming out of the hole ids `("in" ms^(-1))` :

Options

A. `0.48`
B. `96`
C. `24`
D. `48`

Answer

D

Explanation

`A_(1)v_(1)=100A_(2)v_(2)`
`pir_(1)^(2)v_(1)=100pir_(2)^(2)v_(2)`
`v_(2)=(1)/(100)((r_(1))/(r_(2)))^(2)xxv_(1)" "impliesv_(2)=(1)/(100)((1)/(.025))^(2)xx3implies" "v_(2)=16xx3impliesv_(2)=48m//s`