A boat strik an under water rock which rock which is `2.0 m` below the water line. How much water in litre will enter the boat in `1` minute? (use g `=10 ms^(-2)`)

Answer

[`477` litres]

Explanation

Here, `r=(4)/(2) cm= 2xx10^(-2) m,h=2.0m`
Velocity of efflux, `v=sqrt(2gh)=sqrt(2xx10xx2)=2sqrt(10) ms^(-1)`
Rate at which water enters the boat
`Q=A v=pir^(2) v=(22)/(7)xx2xx10^(-2)xx2sqrt(10)m^(3)//s`
Volume of water entering the boat in one minute
`(22)/(7)xx(4xx2xx3.162xx60xx10^(-4))/(10^(-3))` litres
`=477` litres