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Question: Answered & Verified by Expert
A liquid is allowed to flow into a tube of truncated cone shape. Identify the correct statement from the following.
PhysicsMechanical Properties of FluidsVITEEEVITEEE 2019
Options:
  • A The speed is high at the wider end and low at the narrow end.
  • B The speed is low at the wider end and high at the narrow end.
  • C The speed is same at both ends in a stream line flow.
  • D The liquid flows with uniform velocity in the tube.
Solution:
2067 Upvotes Verified Answer
The correct answer is: The speed is low at the wider end and high at the narrow end.
The theorem of continuity is valid.
$$
\therefore \mathrm{A}_{1} \mathrm{v}_{1} \rho=\mathrm{A}_{2} \mathrm{v}_{2} \rho
$$
As the density of the liquid can be taken as uniform.


$\therefore \mathrm{A}_{1} \mathrm{v}_{1}=\mathrm{A}_{2} \mathrm{v}_{2}$
$\Rightarrow$ Smaller the area, greater the velocity.

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