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. Q. Liquid is filled in a vessel of square base (2mxx2m) upto a height of 2 m 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? (a). 3.29m//s (b). 4.96m//s (c). 5.67cm (d). 2.68m//s

Velocity of efflux in torricelli's theorem is given by v=sqrt(2gh) h

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. Q. Liquid is filled in a vessel of square base (2mxx2m) upto a height of 2 m 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? (a). 3.29m//s (b). 4.96m//s (c). 5.67cm (d). 2.68m//s
Answer» Solution :The VOLUME of liquid should remain UNCHANGED . Hence `2xx2xx2=(1)/(2)[x+x+(2)/(sqrt(3))]xx2thereforexapprox1.42m` Now `h=xsin60^(@)=1.23mthereforev=sqrt(2gh)=sqrt(2xx10xx1.23)=4.96m//s`