GATE Overflow for GATE XE - Questions without answers in Bernoulli’s Equation

GATE XE 2026 | Question: 15

Tue, 24 Feb 2026 15:49:03 +0000

Three different siphons steadily discharge water at velocities $V_{\mathrm{I}}, V_{\mathrm{II}}$, and $V_{\mathrm{IIII}}$, as shown in the figure. The tubes of the siphons are of same diameter. If the frictional losses are neglected, which one of the following options is correct?

In the figure, $g$ is acceleration due to gravity; $a, b$, and $h$ are different heights.

$V_{\mathrm{I}}>V_{\mathrm{III}}>V_{\mathrm{II}}$
$V_{\mathrm{II}}>V_{\mathrm{II}}>V_{\mathrm{III}}$
$V_{\mathrm{I}}=V_{\mathrm{II}}=V_{\mathrm{III}}$
$V_{\mathrm{II}}>V_{\mathrm{III}}>V_{\mathrm{I}}$

GATE XE 2026 | Question: 20

Tue, 24 Feb 2026 15:48:41 +0000

A piezometer and a Pitot tube are tapped into a horizontal water pipe, as shown in the figure, where $h_{1}=4 \mathrm{~cm}, h_{2}=6 \mathrm{~cm}$ and $h_{3}=5 \mathrm{~cm}$. Consider the flow to be steady, laminar, and incompressible. Assume the density of water as $1000 \mathrm{~kg} \cdot \mathrm{~m}^{-3}$ and acceleration due to gravity as $10 \mathrm{~m} \cdot \mathrm{~s}^{-2}$. The water velocity $V$ (in $\mathrm{m} . \mathrm{s}^{-1}$) at the center of the pipe is $\_\_\_\_$. (rounded off to one decimal place)

GATE XE 2024 | Question: 32

Sun, 21 Jul 2024 16:42:21 +0000

Consider the incompressible, steady and irrotational flow through a concentric reducer in a horizontal pipeline. The pipe diameter reduces from $d_{1}=12 \mathrm{~cm}$ to $d_{2}=4 \mathrm{~cm}$ as shown in figure. The pressure at position 1 and position 2 of the reducer is $p_{1}=55 \mathrm{kPa}$ and $p_{2}=27 \mathrm{kPa}$, respectively. The specific weight of fluid is $7 \mathrm{kN} / \mathrm{m}^{3}$. Acceleration due to gravity is $10 \mathrm{~m} / \mathrm{s}^{2}$.

Neglecting frictional effects, the mass flow rate $\text{(in $\mathrm{kg} / \mathrm{s}$, rounded off to two decimal places)}$ of the fluid through the reducer is ____________.

GATE XE 2023 | Question: 16

Wed, 14 Feb 2024 18:10:05 +0000

Consider steady incompressible flow over a flat plate, where the dashed line represents the edge of the boundary layer, as shown in the figure. Which one among the following statements is true?

Bernoulli's equation can be applied in Region I between any two arbitrary points.
Bernoulli's equation can be applied in Region I only along a streamline.
Bernoulli's equation cannot be applied in Region II.
Bernoulli's equation cannot be applied in Region I.

GATE XE 2023 | Question: 30

Wed, 14 Feb 2024 18:09:52 +0000

Q. 40 Water (density $=1000 \mathrm{~kg} / \mathrm{m}^{3}$ ) flows steadily with a flow rate of $0.05 \mathrm{~m}^{3} / \mathrm{s}$ through a venturimeter having throat diameter of $100 \mathrm{~mm}$. If the pipe diameter is $200 \mathrm{~mm}$ and losses are negligible, the pressure drop (in $\mathrm{kPa}$, rounded off to one decimal place) between an upstream location in the pipe and the throat (both at the same elevation) is

GATE XE 2022 | Question: 21

Fri, 17 Feb 2023 06:52:23 +0000

Consider an inviscid flow through a smooth pipe which has a pitot-static tube arrangement as shown. Find the centre-line velocity in the pipe.

Consider that the density of the fluid is $1000 \mathrm{~kg} / \mathrm{m}^3$, acceleration due to gravity is $10 \mathrm{~m} / \mathrm{s}^2$, and the specific gravity of the manometric fluid is $11$.

$2 \text{m/s}$
$3 \text{m/s}$
$5 \text{m/s}$
$7 \text{m/s}$