1.

Velocity of efflux in torricelli's theorem is given by v=sqrt(2gh), here h is the height of hole from the top surface, after that, motion of liquid can be treated as projectile motion. Liquid is filled in a vessel of square base (2mxx2m) upto a height of 2m as shown in figure (i). in figure (ii) the vessel is tilted from horizontal at 30^(@) what is the velocity of efflux in this case ? Liquid does not spills out?

Answer»

3.29m/s
4.96m/s
5.67m/s
2.68m/s

Solution :The volume of LIQUID should REMAIN UNCHANGED.
Hence, `2xx2xx2=2xx(1)/(2)[x+x+(2)/(sqrt(3))]xx2`
`thereforexapprox1.42m`
now, `h=xsin60^(@)=1.23m`
`thereforev=sqrt(2gh)=sqrt(2xx10xx1.23)=4.96m//s`


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