Question

Water enters through end A with a speed v₁ and leaves through end B with a speed v₂ of a cylindrical tube AB. The tube is always completely filled with water. In case I the tube is horizontal, in case II it is vertical with the end A upward and in case III it is vertical with the end B upward. We have v₁ = v₂ for

• A. Case I
• B. Case II
• C. Case III
• D. each case

Answer 1

The correct option is D

each case

Take any orientation of cylindrical tube [uniform cross section]

Now $A_1{V}_1=A_2{V}_2$
But $A_1=A_2$
$\Rightarrow V_1=V_2$
Hence (D)