GATE Overflow for GATE XE - Recent questions and answers in Fluid Properties

Answered: GATE XE 2022 | Question: 15

Thu, 14 May 2026 13:33:56 +0000

Option C , Since dynamic viscoscity doen't depent on temperature.It realted with velocity gradient (Rate of shear strain ) and the shear stress

GATE XE 2026 | Question: 16

Tue, 24 Feb 2026 15:48:59 +0000

Consider the following statements:

Assertion (a)

Surface tension acts along the interface of two fluids.

Reason (r)

The pressure of the fluid inside a bubble is higher than that of the fluid outside the bubble.

Which one of the following options is correct?

Both (a) and (r) are true, and (r) is the correct explanation of (a).
Both (a) and (r) are true, however (r) is not the correct explanation of (a).
(a) is true, but (r) is false.
(a) is false, but (r) is true.

GATE XE 2026 | Question: 28

Tue, 24 Feb 2026 15:48:10 +0000

A gas is pressurized in a vertical frictionless piston-cylinder device, as shown in the figure. The piston has a mass of $4$ kg and a cross-sectional area of $40 \mathrm{~cm}^{2}$. A metallic block of $13$ kg is placed on the piston. The atmospheric pressure ( $p_{a}$ ) is $1$ bar. Assume acceleration due to gravity as $10 \mathrm{~m} . \mathrm{s}^{-2}$. The pressure inside the cylinder, $p_{i}$ (in bar) is $\_\_\_\_$ . (rounded off to three decimal places)

GATE XE 2026 | Question: 152

Tue, 24 Feb 2026 15:21:12 +0000

The mass (in $\mathrm{kg}$) of dry air in a room, measuring $10 m \times 7 m \times 3 m$, is $\_\_\_\_$. (rounded off to two decimal places)

[Density of dry air is $1.029 \times 10^{-3} \mathrm{~g} \mathrm{~cm}^{-3}$]

GATE XE 2025 | Question: 26

Sun, 04 May 2025 19:08:14 +0000

For a steady and incompressible flow, the velocity field $(\vec{V})$ in Cartesian $(x, y, z)$ coordinate system is given as:

$$\vec{V}=5 x i-P y j+3 k$$

Here, $i, j$, and $k$ are unit vectors along $x, y$, and $z$ directions, respectively and $P$ is a constant.

Which one of the following options is the correct value of $P$ that satisfies the conservation of mass for the given velocity field?

$5$
$-5$
$8$
$2$

GATE XE 2025 | Question: 39

Sun, 04 May 2025 19:07:41 +0000

Consider, a kite weighing $100$ grams as essentially a rigid flat plate making an angle $8^{\circ}$ with the horizontal and having a planform area of $0.045 \mathrm{~m}^{2}$ when exposed to horizontal parallel wind of $60 \mathrm{~km} / \mathrm{h}$. The thread string of the kite makes an angle $45^{\circ}$ with the horizontal. A tension of $450$ grams in the thread is necessary to float the kite steadily. Take air density as $1.2 \mathrm{~kg} / \mathrm{m}^{3}$ and gravitational acceleration as $9.81 \mathrm{~m} / \mathrm{s}^{2}$. The lift coefficient $\left(C_{L}\right)$ associated with the air flow around steadily floating kite (rounded off to $2$ decimal places) is $\_\_\_\_\_\_$

GATE XE 2024 | Question: 12

Sun, 21 Jul 2024 16:42:36 +0000

Which one of the following figures shows the CORRECT dependence of apparent viscosity $(\eta)$ on rate of shear strain $(d u / d y)$ for pseudoplastic fluids?

GATE XE 2024 | Question: 27

Sun, 21 Jul 2024 16:42:24 +0000

Consider two parallel plates separated by a distance of $1$ cm filled with a Newtonian fluid of viscosity $10^{-3} \mathrm{~Pa}$.s. The top plate is moving with a velocity of $1 \mathrm{~m} / \mathrm{s}$ whereas the bottom plate is stationary. The shear stress $\text{(in Pa , rounded off to one decimal place)}$ on the top plate is __________.

GATE XE 2023 | Question: 15

Wed, 14 Feb 2024 18:10:07 +0000

Among the shear stress versus shear strain rate curves shown in the figure, which one corresponds to a shear thinning fluid ?

$\mathrm{P}$
$\mathrm{Q}$
$\mathrm{R}$
$\mathrm{S}$

GATE XE 2023 | Question: 18

Wed, 14 Feb 2024 18:10:03 +0000

Which of the following statements are true?

$\text{(i)}$ Conservation of mass for an unsteady incompressible flow can be represented as $\nabla \cdot \vec{V}=0$, where $\vec{V}$ denotes velocity vector.
$\text{(ii)}$ Circulation is defined as the line integral of vorticity about a closed curve.
$\text{(iii)}$ For some fluids, shear stress can be a nonlinear function of the shear strain rate.
$\text{(iv)}$ Integration of the Bernoulli's equation along a streamline under steady-state leads to the Euler's equation.

$\text{(ii) and (iv)}$ only
$\text{(i), (ii) and (iii)}$ only
$\text{(i) and (iii)}$ only
$\text{(ii) and (iv)}$ only

GATE XE 2023 | Question: 27

Wed, 14 Feb 2024 18:09:54 +0000

\begin{tabular}{|l}
Q. 37 \\
Water $\left(\right.$ density $\left.=1000 \mathrm{~kg} / \mathrm{m}^{3}\right)$ and alcohol (specific gravity $=0.7$ ) enter a \\
Y-shaped channel at flow rates of $0.2 \mathrm{~m}^{3} / \mathrm{s}$ and $0.3 \mathrm{~m}^{3} / \mathrm{s}$, respectively. Their \\
mixture leaves through the other end of the channel, as shown in the figure. The \\
average density $\left(\right.$ in $\left.\mathrm{kg} / \mathrm{m}^{3}\right)$ of the mixture is
\end{tabular}

GATE XE 2023 | Question: 83

Wed, 14 Feb 2024 18:09:02 +0000

\begin{tabular}{|l|l|}
\hline Q.93 & Adiabatic bulk modulus of a substance is defined as \\
\hline

& $-\frac{1}{v}\left(\frac{\partial v}{\partial P}\right)_{T}$ \\
\hline
& $-v\left(\frac{\partial P}{\partial v}\right)_{T}$ \\
\hline
& $-\frac{1}{v}\left(\frac{\partial v}{\partial P}\right)_{S}$ \\
\hline
& $-v\left(\frac{\partial P}{\partial v}\right)_{S}$
\end{tabular}

GATE XE 2022 | Question: 30

Fri, 17 Feb 2023 06:52:16 +0000

A wooden cylinder $\text{(specific gravity} $=0.6$)$ of length $L$ and diameter $D$ floats in water $\text{(density}$ $1000 \mathrm{~kg} / \mathrm{m}^3)$. Find out the minimum value of $D / L$ for which the cylinder floats with its axis vertical.
$\text{(Round off to three decimal places)}$