GATE XE topic:engineering-sciences PYQs & Answers — Page 146

Questions 1451–1460 of 1772. Imported answers require independent review unless marked reviewed.

If the velocity field is

m/s, vorticity of the fluid element in the field at

in s

is _____.

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A pitot-static tube is used to measure air velocity in a duct by neglecting losses. The density of air is 1.2 kg/m

. If the difference between the total and static pressures is 1 kPa, the velocity of air at the measuring location, in m/s, is ________.

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A parallelepiped of (2 m × 2 m) square cross-section and 10 m in length, is partially floating in water upto a depth of 1.2 m, with its longest side being horizontal. The specific gravity of the block is

Your answerChoose one option.

0.8

0.6

0.5

0.4

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The velocity field in a two-dimensional, unsteady flow is given by

m/s. The magnitude of acceleration of a fluid particle located at x = 1 m, y = 1 m at the time t = 1 s, in m/s

, is

Your answerChoose one option.

16.0

18.1

24.1

34.1

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In a two-dimensional, incompressible and irrotational flow, fluid velocity (v) in the y-direction is given by

. The velocity (u) in the x-direction is

Your answerChoose one option.

u = 2x − 5y

u = 2x + 5y

u = 5x + 2y

u = 5x − 2y

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A two-dimensional laminar viscous liquid film of constant thickness (

) steadily flows down an incline as shown in figure. Acceleration due to gravity is

. If the velocity profile in the liquid film is given as,

, the value of constant

Diagram for Engineering Sciences question 13

Your answerChoose one option.

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A water jet of 100 mm diameter issuing out of a nozzle at a speed of 50 m/s strikes a vane and flows along it as shown in figure. The vane is attached to a cart which is moving at a constant speed of 20 m/s on a frictionless track. The jet is deflected at an angle of 30°. Take the density of water as 1000 kg/m

. Neglecting the friction between the vane and the fluid, the magnitude of the force exerted by water on the cart in the x-direction, in N, is _____.

Diagram for Engineering Sciences question 14

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Capillary waves are generated in the sea. The speed of propagation (C) of these waves is known to be a function of density (ρ), wave length (λ), and surface tension (σ). Assume, ρ and λ to be constant. If the surface tension is doubled, in the functional form of the relevant non-dimensional group, the percentage increase in propagation speed (C) is ______ .

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Consider a fully developed, two-dimensional and steady flow of a viscous fluid between two fixed parallel plates separated by a distance of 30 mm. The dynamic viscosity of the fluid is 0.01 kg/m-s and the pressure drop per unit length is 300 Pa/m. The fluid velocity at a distance of 10 mm from the bottom plate, in m/s, is ________.

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A 2.6 gram smooth table-tennis (ping-pong) ball has a diameter of 38 mm. Density (ρ) of air is 1.2 kg/m³. Neglect the effect of gravity. Take coefficient of drag as 0.5. If the ball is struck with an initial velocity of 30 m/s, the initial deceleration, in m/s², is ________.

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GATE XE topic:engineering-sciences PYQs

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17