Curved surface of a vessel has shape of truncated cone having semi-vertex angle `37^(@)`. Vessel is full of water (density `rho=1000kg//m^(3)`) upto a height of `12 cm` and is placed on a smooth horizontal plane. Upper surface is opened to atmosphere. A hole of `1.5cm` is made on curved wall of a height of `8cm` from bottom as shown in figure. Area of water surface in the vessel is large as compared to the area of the hole.

The initial horizontal force required to keep the vessel in static equilibrium

Options

A. `0.12N`
B. `0.15N`
C. `0.25N`
D. `0.35N`

Answer

A

Explanation

`V=sqrt(2gh)=1m//s`
`- 8/100-3/5t-1/2xx10Xt^(2)`
`t=1/5sec`
`:. X=4/5xx1/5xx100=16cm`
horizontal range from point `B=16-6=10cm`
Force required to keep the vessel in equilibrium `=rhoAV^(2)cos37^(@)`
`=0.12N`