A liquid is allowed to flow into a tube of truncated cone shape. Identify the correct statement from the…

1. The speed is high at the wider end and low at the narrow end.
2. The speed is low at the wider end and high at the narrow end.
3. The speed is same at both ends in a stream line flow.
4. The liquid flows with uniform velocity in the tube.

Solution

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. :

Asked in: TEST SERIES MHT-CET Full Test 6

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