1
GATE ME 2022 Set 2
MCQ (More than One Correct Answer)
+1
-0
The velocity field in a fluid is given to be $\vec{V}=(4xy)\hat{i}+2(x^2-y^2)\hat{j}$ Which of the following statement(s) is/are correct?
A
The velocity field is one-dimensional.
B
The flow is incompressible.
C
The flow is irrotational.
D
The acceleration experienced by a fluid particle is zero at (x = 0, y = 0).
2
GATE ME 2022 Set 2
MCQ (Single Correct Answer)
+2
-0.66

A tube of uniform diameter D is immersed in a steady flowing inviscid liquid stream of velocity V, as shown in the figure. Gravitational acceleration is represented by g. The volume flow rate through the tube is ______.

GATE ME 2022 Set 2 Fluid Mechanics - Fluid Dynamics Question 6 English
A
$\frac{\pi}{4}D^2V$
B
$\frac{\pi}{4}D^2\sqrt{2gh_2}$
C
$\frac{\pi}{4}D^2\sqrt{2g(h_1+h_2)}$
D
$\frac{\pi}{4}D^2\sqrt{V^2-2gh_2}$
3
GATE ME 2022 Set 2
MCQ (Single Correct Answer)
+2
-0.66
The steady velocity field in an inviscid fluid of density 1.5 is given to be $\vec{V}=(y^2-x^2)\hat{i}+(2xy)\hat{j} $. Neglecting body forces, the pressure gradient at (x =1, y = 1) is ______.
A
10 ĵ
B
20 î
C
-6î - 6ĵ
D
-4î - 4ĵ
4
GATE ME 2022 Set 2
Numerical
+2
-0

A uniform wooden rod (specific gravity = 0.6, diameter = 4 cm and length = 8 m) is immersed in the water and is hinged without friction at point A on the waterline as shown in the figure. A solid spherical ball made of lead (specific gravity = 11.4) is attached to the free end of the rod to keep the assembly in static equilibrium inside the water. For simplicity, assume that the radius of the ball is much smaller than the length of the rod.

Assume density of water = 103 kg/m3 and π = 3.14.

Radius of the ball is _______ cm (round off to 2 decimal places).

GATE ME 2022 Set 2 Fluid Mechanics - Fluid Statics Question 2 English
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