GATE XE format:nat PYQs & Answers — Page 47

Questions 461–470 of 668. Imported answers require independent review unless marked reviewed.

Topic practice 668 questionsPage 47 of 67

The theoretical discharge for the flow through an orificemeter is

. If the measured discharge in an experiment is

, then the discharge coefficient (rounded off to one decimal place) is ________

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The mercury manometer shown in the figure below is connected to a water pipe at one end while the other end is open to the atmosphere. The density of water is

, the specific gravity of mercury is 13.6 and the gravitational acceleration

. The gage pressure

(in

, rounded off to 2 decimal places) in the water pipe is ______.

Diagram for Engineering Sciences question 17

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Water (

) flows through a smooth circular pipe of radius

. If the flow Reynolds number is 100, then the pressure drop (in

, rounded off to 2 decimal places) over a length of 5 m will be ______.

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A uniform flow with a velocity of 2 m/s in the

-direction approaches a line source placed on the

-axis at a distance of 0.1 m from the origin. If the origin is the stagnation point in the resulting flow, the strength of the source (in

, rounded off to 2 decimal places) is ______.

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In a steady incompressible flow of a fluid past a smooth stationary sphere, the drag force

depends on the flow velocity

, diameter

, and the dynamic viscosity

and density

of the fluid. Experiments are conducted on the same sphere at the same flow velocity using two different fluids. The density of the second fluid is two times that of the first fluid. The dynamic viscosity of the second fluid is

times that of the first fluid. If the non-dimensional force

remains the same in both the experiments, the value of

is ______.

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An incompressible fluid flows past a flat plate as shown in the figure below with a uniform inlet velocity profile

and a parabolic exit velocity profile

, where

is the component of velocity parallel to the wall,

is the normal distance from the plate and

. If the volume flow rate across the top surface of the control volume (CV) is

per unit width (perpendicular to the

plane) of the plate, the value of

(rounded off to 2 decimal places) is ______.

Diagram for Engineering Sciences question 21

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A jet engine is to be tested on a thrust stand as shown in the figure below. The conditions prevailing in a typical test are as follows: Axial intake air velocity = 100 m/s; axial exhaust gas velocity = 250 m/s; intake cross-sectional area = 1 m

; intake static pressure =

kPa (gauge); exhaust static pressure = 0 kPa (gauge); mass flow rate through the engine = 100 kg/s. The anchoring force (in kN) in axial direction on the thrust stand is ______.

Diagram for Engineering Sciences question 22

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A monochromatic X-ray beam of wavelength 0.154 nm is incident on a cubic crystal having lattice parameter a = 0.245 nm. The diffraction angle (2θ) for the first order reflection from a set of planes represented by the schematic plane below is _____ degrees. (round off to 1 decimal place)

Diagram for Engineering Sciences question 13

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Nickel corrodes at 298 K in a solution of 0.06 M nickel chloride having pH 4. Assuming complete dissociation of nickel chloride, the partial pressure of hydrogen required to stop the corrosion of nickel is _____ atm. (round off to the nearest integer)

(Given: Standard reduction potential of nickel = −0.25 V, Faraday’s constant = 96500 C mol⁻¹, Universal gas constant = 8.314 J K⁻¹ mol⁻¹)

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The potential energy, U(r), of a pair of atoms spaced at a distance r in a solid is given by

The equilibrium distance between the atom pair is _____ nm. (round off to 2 decimal places)

(Given: Constants A = 6 × 10⁻²⁰ J nm³, B = 2.1 × 10⁻²² J nm⁷)

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GATE XE format:nat PYQs

Question 9

Question 17

Question 18

Question 19

Question 20

Question 21

Question 22

Question 13

Question 14

Question 15