Aerospace Engineering
GATE AE format:mcq PYQs
Build your understanding with focused practice from past exam papers.
Questions 71–80 of 326. Imported answers require independent review unless marked reviewed.
Question 7
Open questionGAMCQ2 marksNeeds review
A rectangular paper sheet of dimensions 54 cm × 4 cm is taken. The two longer edges of the sheet are joined together to create a cylindrical tube. A cube whose surface area is equal to the area of the sheet is also taken.
Then, the ratio of the volume of the cylindrical tube to the volume of the cube is
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The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person.
The typical energy density (kcal/g) of these macronutrients is given in the table.
Macronutrient | Energy density (kcal/g) |
|---|---|
Carbohydrates | 4 |
Proteins | 4 |
Unsaturated fat | 9 |
Saturated fat | 9 |
Trans fat | 9 |
The total fat (all three types), in grams, this person consumes is
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A rectangular paper of 20 cm × 8 cm is folded 3 times. Each fold is made along the line of symmetry, which is perpendicular to its long edge. The perimeter of the final folded sheet (in cm) is
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The least number of squares to be added in the figure to make AB a line of symmetry is
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The following system of linear equations
has:
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The acceleration of a body traveling in a straight line is given by
where
is the velocity, and
,
are positive constants. Starting with an initial positive velocity
, the distance traveled by the body before coming to rest for the first time is:Your answerChoose one option.
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The three-dimensional stress-strain relationship for an isotropic material is given as
where P, Q and R are the three elastic constants,
and
represent normal and shear stresses and
and
represent normal and engineering shear strains. Which one of the following options is correct?Your answerChoose one option.
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Consider the free vibration responses P, Q, R and S (shown in the figure) of a single degree of freedom spring-mass-damper system with the same initial conditions. For the different damping cases listed below, which one of the following options is correct?
Overdamped
Underdamped
Critically damped
Undamped
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For a single degree of freedom spring-mass-damper system subjected to harmonic forcing, the part of the motion (response) that decays due to damping is known as:
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For an ideal gas, the specific heat at constant pressure is 1147 J/kg K and the ratio of specific heats is equal to 1.33. What is the value of the gas constant for this gas in J/kg K?
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