GATE XE 2018 Paper 1 — page 12

Questions 34–36 of 175. Imported answers require review unless explicitly marked reviewed.

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

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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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2018 · Paper 1

Question 13

Question 14

Question 15