Published by:
CGP EDU Academic Team
Published on: September 12, 2026
An L-shaped glass tube is just immersed in flowing water such that its opening is pointing against flowing water. If the speed of water current is v, then

Text Solution
Verified by ExpertsThe correct answer is:
A
Step 1: Use Bernoulli's principle which states that in a streamline flow, the total mechanical energy of the fluid remains constant.
Step 2: The pressure at the opening of the tube (where the water is flowing into) is less due to the higher velocity of the water.
Step 3: Calculate the height of the water column using the equation derived from Bernoulli's equation:
$$ P_{1} + \frac{1}{2} \rho v_{1}^2 + \rho gh_{1} = P_{2} + \frac{1}{2} \rho v_{2}^2 + \rho gh_{2} $$
Step 4: Assuming the inlet total pressure is atmospheric pressure and at outlet (inside the tube) is the gauge pressure:
$$ h = \frac{v^2}{2g} $$
This matches with option A.
Therefore, A.
Step 2: The pressure at the opening of the tube (where the water is flowing into) is less due to the higher velocity of the water.
Step 3: Calculate the height of the water column using the equation derived from Bernoulli's equation:
$$ P_{1} + \frac{1}{2} \rho v_{1}^2 + \rho gh_{1} = P_{2} + \frac{1}{2} \rho v_{2}^2 + \rho gh_{2} $$
Step 4: Assuming the inlet total pressure is atmospheric pressure and at outlet (inside the tube) is the gauge pressure:
$$ h = \frac{v^2}{2g} $$
This matches with option A.
Therefore, A.
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
In which one of the following cases will the liquid flow in a pipe be most streamlined
Two water pipes of diameters 2 cm and 4 cm are connected with the main supply line. The velocity of…
An incompressible liquid flow through a horizontal tube as shown in the following fig. Then the vel…
Water enters through end A with speed $V_1$ and leaves through end B with speed $V_2$ of a cylindri…
Water is moving with a speed of 5.18 ms –1 through a pipe with a cross-sectional area of 4.20 cm 2 …
The velocity of kerosene oil in a horizontal pipe is 5 m/s. If $g = 10 m / s^{2}$ then the velocity…