GATE XE format:nat PYQs & Answers

Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.

Questions 1–10 of 668. Imported answers require independent review unless marked reviewed.

Topic practice 668 questionsPage 1 of 67

Let

be the lamina of the form

, with density

. Then, the mass of

(in integer) is __________

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Let

be a random variable having probability density function (pdf)

Then, the value of the expectation of

(rounded off up to two decimal places) is __________

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Let

be the LU decomposition of the matrix

Then, the value of

(in integer) is ________.

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The initial value problem

with

, is solved by using the explicit Euler method with step size

. Then, the value of

(rounded off up to two decimal places) is ________.

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A piezometer and a Pitot tube are tapped into a horizontal water pipe, as shown in the figure, where

and

. Consider the flow to be steady, laminar, and incompressible. Assume the density of water as

and acceleration due to gravity as

. The water velocity

(in

) at the center of the pipe is ______ (rounded off to one decimal place)

Diagram for Engineering Sciences question 30

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A gas is pressurized in a vertical frictionless piston-cylinder device, as shown in the figure. The piston has a mass of 4 kg and a cross-sectional area of 40 cm

. A metallic block of 13 kg is placed on the piston. The atmospheric pressure (

) is 1 bar. Assume acceleration due to gravity as 10 m.s

. The pressure inside the cylinder,

(in bar) is __________. (rounded off to three decimal places)

Diagram for Engineering Sciences question 38

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A ship is designed to sail at a speed of 8 m.s

. A designer makes a 1/10 scaled model to test the ship in a water tunnel. The model and the ship satisfy the dynamic similarity. The speed (in m.s

) of the model is __________. (rounded off to two decimal places)

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A rectangular block (density = 600 kg.m

) with base area of 0.06 m

and height 15 cm is partially submerged in water (density = 1000 kg.m

), as shown in the figure. Assume acceleration due to gravity as 10 m.s

. The submerged depth,

(in m) of the block in the water is __________. (rounded off to two decimal places)

Diagram for Engineering Sciences question 40

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For a steady, laminar, and incompressible flow over a flat plate, the local skin friction coefficient is given as

; where

is the local Reynolds number. The density and kinematic viscosity of the fluid are 1.2 kg.m

and

, respectively. If the freestream velocity is 3 m.s

, then the local shear stress (in N.m

) at

m is __________. (rounded off to three decimal places)

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The axial velocity profile of a laminar, incompressible, and fully-developed flow in a circular pipe of radius

is given as

, where

, and

are dynamic viscosity, pressure, axial coordinate, and radial coordinate, respectively. If the magnitude of shear stress at the pipe wall is given as

, then the value of

is __________. (answer in integer)

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GATE XE format:nat PYQs

How to practice format:nat

Question 16

Question 17

Question 20

Question 21

Question 30

Question 38

Question 39

Question 40

Question 41

Question 42