Engineering Sciences
GATE XE format:mcq PYQs
Build your understanding with focused practice from past exam papers.
Questions 121–130 of 959. Imported answers require independent review unless marked reviewed.
Question 29
Open questionXE-BMCQ1 markNeeds review
Consider the steady, incompressible, and fully developed laminar flow of a fluid through a circular pipe. Here,
is the pressure drop in the direction of the flow and
is the average velocity of the fluid at any cross-section. The relation between
and
is:
Here,
and
are constants.
Which one of the following options is the correct value of
?Your answerChoose one option.
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Open questionXE-BMCQ1 markNeeds review
A doublet is the resulting flow pattern when a sink and a source of equal strength are brought together.
Which one of the following options correctly represents the nature of the product of the strength and the distance between them during approach?
Your answerChoose one option.
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Open questionXE-BMCQ2 marksNeeds review
Figure shows two parallel plates (upper plate at
and lower one at
) of length L (aligned in
direction) and infinite width (in
direction, normal to the plane of the figure). Two immiscible, incompressible liquids are flowing steadily in the
direction through the thin passage between the plates under the influence of horizontal pressure gradient
. During the flow, the passage is always half-filled with denser fluid I (viscosity
) at the bottom and rest is occupied by lighter fluid II (viscosity
;
). Considering exactly planar interface between the fluids and no instabilities in the flow, the shear stress,
is expressed as:
Which one of the following options correctly identifies the location of the point having maximum velocity of the flow?

Your answerChoose one option.
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Open questionXE-BMCQ2 marksNeeds review
Group-I shows different two-dimensional bodies and Group-II mentions their total drag coefficient (
) based on frontal area while facing parallel flow of fluid having Reynolds number
along the direction of arrow. The bodies are placed symmetrically with respect to the flow direction.Group-I | Group-II |
|---|---|
P: ![]() | 1: 1.2 |
Q: ![]() | 2: 1.6 |
R: ![]() | 3: 2.1 |
S: ![]() | 4: 2.3 |
Which one of the following options identifies the correct match between Group-I and Group-II, as per the concept of degree of streamlining?
Your answerChoose one option.
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Open questionXE-BMCQ2 marksNeeds review
A solid body of uniform specific gravity floats in a deep liquid pool. Take
,
, and
as the centre of buoyancy, centre of gravity, and metacentre of the body, respectively.
Which one of the following options is correct for the stable flotation of the body in the pool when the body is given a small tilt angle?Your answerChoose one option.
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Open questionXE-BMCQ2 marksNeeds review
Figure shows the steady and incompressible flow of a fluid in the direction of arrow from section A to section D. Three pipe connectors are to be placed between sections A and D having Total Energy Line (TEL) and Hydraulic Grade Line (HGL) as depicted in the figure. Consider
,
,
,
,
, and
denote gravitational acceleration, pressure, volume flow rate, velocity, specific weight, and elevation of centerline of the pipe connectors from the datum, respectively.Which one of the following options, in sequence, indicates the correct nature of connectors between sections A and B, B and C, and C and D in the direction of flow?

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Open questionXE-BMCQ2 marksNeeds review
A liquid flows under steady and incompressible flow conditions from station 1 to station 4 through pipe sections P, Q, R, and S as shown in figure. Consider,
,
, and
represent the diameter, velocity, and head loss, respectively, in each pipe section with subscripts ‘P’, ‘Q’, ‘R’, and ‘S’.
represent the head difference between the inlet (station 1) and outlet (station 4). All the pipe sections are placed on the same horizontal plane for which the figure shows the top view.Which one of the following options is correct for the given flow loop?

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Open questionXE-CMCQ1 markNeeds review
The figure below shows a plane PQR in a unit cell. The Miller indices of the plane PQR is

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Open questionXE-CMCQ1 markNeeds review
The unit of measurement for magnetic dipole moment of a body is
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Open questionXE-CMCQ1 markNeeds review
B is the magnetic flux density and T
is the critical temperature. The Meissner effect is represented byYour answerChoose one option.
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