A lawn sprinkler has `20` holes, each of cross-sectional area `2.0 x 10^(-2) cm^(2)`, and is connected to a hose pipe of cross sectional area `2.4 cm^(2)`. If the speed of water in the hose pipe is `1.5 ms^(-1)`, the speed of water as it emerges from the holes is

Options

A. `2.25ms^(-1)`
B. `4.5ms^(-1)`
C. `9ms^(-1)`
D. `18ms^(-1)`

Answer

C

Explanation

`(2.4xx10^(-4))xx1.5=20x2xx10^(-2)xx10^(-4)xxv`
or `v=(2.4xx1.5xx10^(2))/40 ms^(-1) =(24xx15)/40ms^(-1)=9ms^(-1)`