Complete GATE AE 2024 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 37–39 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 13 of 22

Question 37

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The volume of the solid formed by a complete rotation of the shaded portion of the circle of radius R about the y-axis is

. The value of

is:
Diagram for Aerospace Engineering question 37

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Question 38

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As per the International Standard Atmosphere model, which one of the following options about density variation with increase in altitude in the isothermal layer is correct?
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Question 39

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At a point in the trajectory of an unpowered space vehicle moving about the Earth, the altitude above the mean sea level is 600 km, and the speed with reference to a coordinate system fixed to the center of mass of the Earth is 9 km/s. Assume that the Earth is a sphere with a radius 6400 km and

, where G is the universal gravitational constant and

is mass of the Earth. The trajectory is:
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