GATE XE format:mcq PYQs & Answers — Page 68

Questions 671–680 of 959. Imported answers require independent review unless marked reviewed.

The power input

to a centrifugal pump is a function of the volume flow rate

, impeller diameter

, rotational speed

, fluid density

, dynamic viscosity

, and surface roughness

. To carry out a dimensional analysis using Buckingham’s

theorem, which one of the following sets can be taken as the set of repeating variables?

Your answerChoose one option.

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Consider the flow between two infinitely long parallel plates of large width separated by a distance

. The upper plate is moving with a constant velocity

while the lower plate is stationary. The volumetric flow rate per unit width of the plate is

Your answerChoose one option.

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The velocity field in Cartesian coordinates in a two-dimensional steady incompressible flow of a fluid with density

. Assuming no body and line forces, the magnitude of pressure gradient

at point

Your answerChoose one option.

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A two-dimensional velocity field in Cartesian coordinates is defined by

. This flow is

Your answerChoose one option.

compressible and rotational

compressible and irrotational

incompressible and rotational

incompressible and irrotational

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Assertion [a]: The streamlines in a free vortex flow are concentric circles.\nReason [r]: There exists only radial component for the velocity field in a free vortex flow.

Your answerChoose one option.

Both [a] and [r] are true and [r] is the correct reason for [a]

Both [a] and [r] are true but [r] is not the correct reason for [a]

[a] is true but [r] is false

[a] is false but [r] is true

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The velocity components in Cartesian coordinates in a two-dimensional incompressible flow are

and

. The magnitude of total acceleration at the point

Your answerChoose one option.

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For steady laminar flow at zero incidence over a flat plate, the component of velocity parallel to the plate in the boundary layer is given by

, where

is the distance measured normal to the flat plate. If

is the coefficient of dynamic viscosity,

is the velocity parallel to the wall at the edge of the boundary layer and

is the boundary layer thickness, the wall shear stress is given by

Your answerChoose one option.

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A fluid with constant density of

flows past a semi-cylindrical structure with a freestream velocity of

as shown in the figure below. The difference in static pressure between points P and Q is

. If the gravitational acceleration

and the flow is assumed to be potential, what is the radius

(in m) of the semi-cylindrical structure?

Diagram for Engineering Sciences question 16

Your answerChoose one option.

0.8

0.6

0.4

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On decreasing the objective aperture size in an optical microscope

Your answerChoose one option.

the spherical aberration increases

the depth of field increases

the diffraction-limited resolution increases

the astigmatism increases

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Pilling-Bedworth ratios for oxides of some metals are given in the table.\n\n| Metal | Pilling-Bedworth Ratio |\n|---|---:|\n| Li | 0.57 |\n| Ce | 1.16 |\n| Ta | 2.33 |\n| W | 3.40 |\n\nBased on the criterion of Pilling-Bedworth ratio alone, which one of the following metals will be most protected from high temperature oxidation?

Your answerChoose one option.

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GATE XE format:mcq PYQs

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