Water enters through end A with speed v1 and leaves through end B with speed v2 of a cylindrical tube AB. The tube is always completely filled with water. In case I the tube is horizontal and in case II it is vertical with end A upwards and in case III it is vertical with end B upwards. We have v1=v2 for:
Correct answer: D. Each case
- A. Case I
- B. Case II
- C. Case III
- D. Each case
Explanation
The correct option is D. each case. Take any orientation of cylindrical tube [uniform cross section] Now, in any orientation the continuity equation is valid. Therefore, A1v1=A2v2 But A1=A2 ⇒v1=v2 Hence option (D) is correct. This happens in accordance with the equation of continuity and this equation was derived on the principle of conservation of mass and it is true in every case, whether the tube remains horizontal or vertical.
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