GATE AE topic:aerospace-engineering PYQs & Answers — Page 57

Questions 561–570 of 650. Imported answers require independent review unless marked reviewed.

Which of the following statement(s) is/are true about the state of a body in plane strain condition? P: All the points in the body undergo displacements in one plane only, for example the x-y plane, leading to

. Q: All the components of stress perpendicular to the plane of deformation, for example the x-y plane, of the body are equal to zero, i.e.

. R: Except the normal component, all the other components of stress perpendicular to the plane of deformation of the body, for example the x-y plane, are equal to zero, i.e.

Your answerChoose one option.

P only

Q only

P and Q

P and R

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An aircraft with a turbojet engine flies at a velocity of 100 m/s. If the jet exhaust velocity is 300 m/s, the propulsive efficiency of the engine, assuming a negligible fuel-air ratio, is

Your answerChoose one option.

0.33

0.50

0.67

0.80

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An aircraft with a turboprop engine produces a thrust of 500 N and flies at 100 m/s. If the propeller efficiency is 0.5, the shaft power produced by the engine is

Your answerChoose one option.

50 kW

100 kW

125 kW

500 kW

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An axial compressor that generates a station pressure ratio of 4.0, operates with inlet and exit station temperatures of 300 K and 480 K, respectively. If the ratio of specific heats (

) is 1.4, the isentropic efficiency of the compressor is

Your answerChoose one option.

0.94

0.81

0.72

0.63

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A rocket has an initial mass of 150 kg. After operating for a duration of 10 s, its final mass is 50 kg. If the acceleration due to gravity is 9.81 m/s

and the thrust produced by the rocket is 19.62 kN, the specific impulse of the rocket is

Your answerChoose one option.

400 s

300 s

200 s

100 s

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Consider the vector field

; where

. The contour integral

, where

is tangent to the contour that encloses the origin, is __________ (accurate to two decimal places).

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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).

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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).

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Consider a cubical tank of side 2 m with its top open. It is filled with water up to a height of 1 m. Assuming the density of water to be 1000 kg/m

, g as 9.81 m/s

and the atmospheric pressure to be 100 kPa, the net hydrostatic force (in kN) on the side face of the tank due to the air and water is _____ (accurate to two decimal places).

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An aircraft with mass of 400,000 kg cruises at 240 m/s at an altitude of 10 km. Its lift to drag ratio at cruise is 15. Assuming g as 9.81 m/s

, the power (in MW) needed for it to cruise is ______ (accurate to two decimal places).

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GATE AE topic:aerospace-engineering PYQs

Question 31

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Question 39

Question 40