GATE XE 2022 Paper 1 — page 14

Questions 40–42 of 175. Imported answers require review unless explicitly marked reviewed.

A wooden cylinder (specific gravity = 0.6) of length

and diameter

floats in water (density 1000 kg/m

). Find out the minimum value of

for which the cylinder floats with its axis vertical. (Round off to three decimal places)

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Consider a cart of mass 10 kg placed on an inclined plane (angle of inclination 60° with horizontal) as shown in the figure. A turning vane of negligible weight is mounted on the cart. A horizontal steady water jet is issued from a stationary nozzle of area 0.1 m

and strikes the turning vane as shown in the figure. The vane turns the jet downward parallel to the inclined plane. Find out the minimum jet velocity (in m/s) which will not allow the cart to come down. Neglect friction, consider density of water = 1000 kg/m

and acceleration due to gravity = 10 m/s

. (Round off to two decimal places)

Diagram for Engineering Sciences question 41

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A siphon is used to drain out water (density 1000 kg/m³) from a tank as shown in the figure. What can be the maximum height

(in meter) of the point C? Consider acceleration due to gravity = 10 m/s², pressure at point A = 10 kPa, vapour pressure of water = 29.5 kPa and neglect friction. (Round off to two decimal places)

Diagram for Engineering Sciences question 42

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2022 · Paper 1

Question 40

Question 41

Question 42