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GATE (CE) 2022 : Fluid Mechanics and Hydraulics Quiz #1

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Question 1

A vertical clean glass tube of uniform bore is to be used as a piezometer for measuring pressure of a liquid at a point. The liquid has a mass density of 1425 kg/m³ and a surface tension of 0.06 N/m in contact with air. If the capillary rise in the tube is not to exceed 2.0 mm, the required minimum diameter (in mm) of the tube is
{Take angle of contact with glass is zero]

Question 2

A 1.5 m², 5 kg flat plat slides down a 45

incline plane over a 0.1 cm uniform layer of oil. If dynamic viscosity of the oil is 0.04 N-s/ m² than steady state velocity of plate (in cm/s, round off to one decimal digit) is

Question 3

A hydraulic lift consists of a 40 cm diameter ram and slides in a cylinder of diameter 40.020 cm while the annular space is being filled up with oil having kinematic viscosity of 0.025 cm²/s and specific gravity of 0.85. If the rate of travel of ram is 8 m/min, what will be the frictional resistance when 3.5 m of ram is engaged in the cylinder?

Question 4

A skater (w = 750 N) skates at 48 km/h on ice at 0

. The average skating area supporting him is 9 cm² and the effective dynamic coefficient of viscosity of water is 1 x 10^-3 N-s/m² at 0

. What is the average thickness of water film between skate and ice?
Consider the coefficient of friction as 0.02

Question 5

Assertion (A): Pressure has very little effect on Viscosity of liquid.
Reason (R): If pressure increases, viscosity will increase.

Question 6

A spherical ball of a material, 150 mm in diameter goes down to a depth of 800 m in sea water. If the specific weight of sea water is 10.19 kN/m³ and bulk modulus for material is 158 kN/mm², then the change in volume (in mm³, round off to one decimal digit) of the ball is

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ESE & GATE CE Fluid Mechanics

Aug 26ESE & GATE CE