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Liquid is filled in a vessel of square b...

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?

A

3.29m/s

B

4.96m/s

C

5.67m/s

D

2.68m/s

Text Solution

Verified by Experts

The correct Answer is:
B
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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