Aerospace Engineering
GATE AE format:nat PYQs
Build your understanding with focused practice from past exam papers.
Questions 211–220 of 266. Imported answers require independent review unless marked reviewed.
Question 55
Open questionAENAT2 marksNeeds review
For the system of springs and masses shown below,
N/m and
kg. The highest natural frequency,
, of the system is _____ radians/s (round off to the nearest integer). 
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Open questionAENAT1 markNeeds review
The determinant of the matrix
is ______ (accurate to one decimal place).Log in to check the answer
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Open questionAENAT1 markNeeds review
The theoretical maximum velocity (in m/s) of air expanding from a reservoir at 700 K is ________ (accurate to two decimal places). Specific heat of air at constant pressure is 1005 J/(kg-K).
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Open questionAENAT1 markNeeds review
For a damped single degree of freedom system with damping ratio of 0.1, ratio of two successive peak amplitudes of free vibration is ________ (accurate to two decimal places).
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Open questionAENAT1 markNeeds review
The natural frequency (in rad/s) of the spring-mass system shown in the figure below is ____ (accurate to one decimal place).
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Open questionAENAT1 markNeeds review
The stagnation pressures at the inlet and exit of a subsonic intake are 100 kPa and 98 kPa, respectively. The pressure recovery of this intake will be ______ (accurate to two decimal places).
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A combustor is operating with a fuel-air ratio of 0.03. If the stoichiometric fuel-air ratio of the fuel used is 0.06, the equivalence ratio of the combustor will be ______ (accurate to two decimal places).
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Open questionAENAT2 marksNeeds review
Consider the vector field
; where
. The contour integral
, where
is tangent to the contour that encloses the origin, is __________ (accurate to two decimal places).Log in to check the answer
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Open questionAENAT2 marksNeeds review
The magnitude of the x-component of a unit vector at the point (1, 1) that is normal to equipotential lines of the potential function
, where
, is ______ (accurate to two decimal places).Log in to check the answer
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Open questionAENAT2 marksNeeds review
Assuming ISA standard sea level conditions (288.16 K, density of 1.225 kg/m
, g = 9.81 m/s
, R = 287 J/(kg-K)), the density (in kg/m
) of air at Leh, which is at an altitude of 3500 m above mean sea level is ______ (accurate to two decimal places).Log in to check the answer
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