Questions 31–39 of 39. Imported answers require independent review unless marked reviewed.

Topic practice 39 questionsPage 4 of 4

Question 45

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PINAT2 marksNeeds review
An open tank of 2 m × 2 m × 2 m is filled with layers of two fluids. Depth of each layer is one meter. The top layer is that of oil of specific gravity 0.8. The bottom layer is of water. Consider the density of water

and acceleration due to gravity

. Neglecting the effect of atmospheric pressure, the force (in N) exerted by the fluids on one of the side walls of the tank is ______

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Question 46

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PINAT2 marksNeeds review
During a storm, the wind speed is 90 km/hr. In a high-rise building, there is a window of size 1.2 m × 1.8 m facing the storm on an upper floor. Neglecting the ground effects on wind speed and considering the density of air

, the force (in N) acting on the window due to the storm is ______

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Question 20

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PINAT1 markNeeds review
A cylindrical wooden block of length 50 cm is floating in water in such a way that its axis is vertical. The densities of wood and water are 800 kg/m³ and 1000 kg/m³, respectively. The submerged depth, i.e., depth of immersion (in cm) of the cylinder is ______

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Question 37

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One kg of air (that can be considered a calorically perfect gas with characteristic gas constant R = 287 J/kg-K and specific heat ratio

) undergoes a constant-volume process from an initial static pressure of 1 bar to a final static pressure of 4 bar. The increase in entropy (in J/kg-K) of air is _____

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Question 38

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If

and

represent the x- and y-components of the two-dimensional velocity field of an incompressible flow, the value of the constant a is _____

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Question 9

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PINAT1 markNeeds review
A metallic cylindrical casing of an exhaust pipe has inner radius 50 mm and wall thickness 7 mm. If the thermal conductivity of the material of the casing is 50 W/m-K, then the thermal resistance of the casing in K/kW is ________ (up to three decimal places).

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Question 33

Open question
PINAT2 marksNeeds review
A manometer is used for the pressure measurement in a closed tank. The three fluids f1, f2 and f3 have specific weights

,

and

, respectively. The schematic arrangement with manometric readings and other dimensions are shown in the Figure. In order to ensure zero gauge pressure in the tank at the mid-height level (

), the height

(in m) is __________
Diagram for Production and Industrial Engineering question 33


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Question 34

Open question
PINAT2 marksNeeds review
A pipeline with variable cross-section contains water with specific weight

N/m

. The flow conditions at two points 1 and 2 on the axis of the pipe are:

bar,

m/s

bar,

m/s
Consider frictional losses to be negligible. For no-flow condition between points 1 and 2 (as shown in Figure), if the height

from the datum is 1 m, then the height

(in m) is __________ (

m/s

)
Diagram for Production and Industrial Engineering question 34


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Question 35

Open question
PINAT2 marksNeeds review
A reversible heat engine (E) operating in a cycle interacts with three reservoirs 1, 2 and 3 maintained at temperatures

K,

K and

K, respectively. The engine receives 10 kJ of heat from reservoir 1 and rejects 3 kJ to reservoir 3. The net work output,

(in kJ) from the engine is __________
Diagram for Production and Industrial Engineering question 35


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