Engineering Sciences
GATE XE format:nat PYQs
Build your understanding with focused practice from past exam papers.
Questions 141–150 of 668. Imported answers require independent review unless marked reviewed.
Question 38
Open questionXE-BNAT2 marksNeeds review
A circular water jet of diameter 50 mm impinges with a velocity of 18 m/s normal to a plate. The density of water is 1000 kg/m
and gravity force is neglected. 
The magnitude of net force (in N, rounded off to two decimal places) imparted by the jet on the stationary plate is ______________.
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Open questionXE-BNAT2 marksNeeds review
Consider the steady, incompressible flow of water in a horizontal pipe of constant diameter 1 m with an inlet velocity of 12 m/s.

As shown in figure, water is lost through a circular hole of diameter 0.6 m at the rate of 4.53 m
/s. The outlet velocity (in m/s, rounded off to two decimal places) of water in the pipe is ______.Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 40
Open questionXE-BNAT2 marksNeeds review
The axial velocity profile of a laminar, incompressible and fully-developed flow in a circular pipe of radius (R) is given as
, where
,
,
, and
are radial direction, axial direction, fluid viscosity, and pressure, respectively. If the average velocity of the flow is given by
, then the value of K (answer in integer) is _____.Log in to check the answer
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Open questionXE-BNAT2 marksNeeds review
The velocity potential function in a two-dimensional flow field is given by
m²/s where
per second and
per second. The magnitude of the velocity (in m/s, answer in integer) at
m,
m is _____.Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 42
Open questionXE-BNAT2 marksNeeds review
Consider the incompressible, steady and irrotational flow through a concentric reducer in a horizontal pipeline. The pipe diameter reduces from
cm to
cm as shown in figure. The pressure at position 1 and position 2 of the reducer is
kPa and
kPa, respectively. The specific weight of fluid is 7 kN/m³. Acceleration due to gravity is 10 m/s².

Neglecting frictional effects, the mass flow rate (in kg/s, rounded off to two decimal places) of the fluid through the reducer is _____.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 43
Open questionXE-BNAT2 marksNeeds review
Consider the incompressible fluid flow over a flat plate with a free stream velocity,
m/s. The fluid kinematic viscosity is
m²/s and density is 1 kg/m³. The velocity profile within the boundary layer at any location
is given by
, where boundary layer thickness,
. The local wall shear stress at
m from the leading edge is _____ × 10⁻³ N/m² (rounded off to two decimal places).Log in to check the answer
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Open questionXE-CNAT1 markNeeds review
The work done by a body expanding from an initial state A to the final state B, as shown in the P-V diagram below, is (in units of litre-atm) __________ (rounded off to nearest integer).

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Open questionXE-CNAT2 marksNeeds review
At room temperature, the electrical conductivity and electron mobility for aluminium are 3.8 × 10^7 (Ω m)^−1 and 0.0012 m^2 (V s)^−1, respectively. Density of free electrons for aluminium at room temperature is (in units of m^−3) ______ × 10^27 (rounded off to nearest integer).
Given: Electrical charge on an electron is 1.6 × 10^−19 C.
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Open questionXE-CNAT2 marksNeeds review
A 2 mm thick palladium sheet of 1000 mm
cross section is used as a diffusional membrane to purify hydrogen. The hydrogen concentration is maintained at a steady state with
kg m
and
kg m
on the two sides of the membrane as shown in the figure below.

The rate of hydrogen purification is (in units of kg hr
) ______ × 10
(rounded off to one decimal place).Given: The diffusion coefficient of hydrogen in palladium is 1.0 × 10
m
s
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 64
Open questionXE-CNAT2 marksNeeds review
In X-ray powder diffraction pattern obtained from a face centered cubic (FCC) metal, the first five reflections are at θ = 21.65°, 25.21°, 37.06°, x and 47.58°. The Bragg angle, θ of the fourth reflection is missed out and is represented by x. The value of x is (in degree) __________ (rounded off to one decimal place).
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