Questions 41–50 of 76. Imported answers require independent review unless marked reviewed.

Topic practice 76 questionsPage 5 of 8

Question 15

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MEMCQ1 markNeeds review
In the space above the mercury column in a barometer tube, the gauge pressure of the vapour is
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Question 16

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MEMCQ1 markNeeds review
The velocity field of an incompressible flow in a Cartesian system is represented by

Which one of the following expressions for

is valid?
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Question 37

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MENAT2 marksNeeds review
A hollow spherical ball of radius 20 cm floats in still water, with half of its volume submerged. Taking the density of water as 1000 kg/m

, and the acceleration due to gravity as 10 m/s

, the natural frequency of small oscillations of the ball, normal to the water surface is ______ radians (round off to 2 decimal places).

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Question 40

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The barrier shown between two water tanks of unit width (1 m) into the plane of the screen is modeled as a cantilever.
Diagram for Mechanical Engineering question 40

Taking the density of water as 1000 kg/m³, and the acceleration due to gravity as 10 m/s², the maximum absolute bending moment developed in the cantilever is ______ kN·m (round off to the nearest integer).

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Question 48

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Consider a flow through a nozzle, as shown in the figure below. The air flow is steady, incompressible and inviscid. The density of air is 1.23 kg/m

. The pressure difference, (

) is ______ kPa (round off to 2 decimal places).
Diagram for Mechanical Engineering question 48


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Question 49

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Consider steady, viscous, fully developed flow of a fluid through a circular pipe of internal diameter

. We know that the velocity profile forms a parabola about the pipe centre line, given by:

m/s, where

is a constant. The rate of kinetic energy (in J/s) at the control surface A-B, as shown in the figure, is proportional to

. The value of

is ______.
Diagram for Mechanical Engineering question 49


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Question 49

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Water (density 100 kg/m

) flows through an inclined pipe of uniform diameter. The velocity, pressure and elevation at section A are

m/s,

kPa and

m, respectively, and those at section B are

m/s,

kPa and

m, respectively. If acceleration due to gravity is 10 m/s

then the head lost due to friction is ______ m (round off to one decimal place).

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Question 50

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Air discharges steadily through a horizontal nozzle and impinges on a stationary vertical plate as shown in figure.
Diagram for Mechanical Engineering question 50

The inlet and outlet areas of the nozzle are 0.1 m² and 0.02 m², respectively. Take air density as constant and equal to 1.2 kg/m³. If the inlet gauge pressure of air is 0.36 kPa, the gauge pressure at point O on the plate is ______ kPa (round off to two decimal places).

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Question 54

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For a Kaplan (axial flow) turbine, the outlet blade velocity diagram at a section is shown in figure.
Diagram for Mechanical Engineering question 54

The diameter at this section is 3 m. The hub and tip diameters of the blade are 2 m and 4 m, respectively. The water volume flow rate is 100 m³/s. The rotational speed of the turbine is 300 rpm. The blade outlet angle β is _____ degrees (round off to one decimal place).

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Question 9

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MEMCQ1 markNeeds review
A two-dimensional incompressible frictionless flow field is given by

. If

is the density of the fluid, the expression for pressure gradient vector at any point in the flow field is given as
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