A spray gun has a piston of radius 20 mm and an air nozzle of radius 1 mm. The piston drives air through the nozzle; a side tube dips into a liquid container open to atmosphere, so the high-speed air entrains and sprays the liquid. Image

Physics · Fluid Mechanics

JEE Advanced 2014

A spray gun has a piston of radius 20 mm and an air nozzle of radius 1 mm. The piston drives air through the nozzle; a side tube dips into a liquid container open to atmosphere, so the high-speed air entrains and sprays the liquid. Image

Sub-question 1

If the piston is pushed at a speed of 5 mm s⁻¹, the air comes out of the nozzle with a speed of

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Sub-question 2

If the density of air is ρa and that of the liquid ρλ, then for a given piston speed the rate (volume per unit time) at which the liquid is sprayed will be proportional to

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