A liquid of density ρ is coming out of a hose pipe of radius a with… | JEE Main 2019 (11 Jan, Shift 1)

Q20JEE Main 2019 · 11 JAN · SHIFT 1Medium

Types of Flow, Reynolds Number & Continuity

A liquid of density $\rho$ is coming out of a hose pipe of radius a with horizontal speed $v$ and hits a mesh. 50% of the liquid passes through the mesh unaffected. 25% looses all of its momentum and 25% comes back with the same speed. The resultant pressure on the mesh will be:

Show answer and solution

Answer: (a)

Momentum carried per second by the jet $= \rho A v^2$ .
50% passes through: no momentum change.
25% stops: change $= 0.25\rho A v^2$ ; 25% rebounds with same speed: change $= 0.25\times 2\rho A v^2 = 0.5\rho A v^2$ .
$F = 0.75\rho A v^2 \Rightarrow P = \dfrac{F}{A} = \dfrac{3}{4}\rho v^2$
So the answer is (a).

Report a mistake

More questions on Types of Flow, Reynolds Number & Continuity

If it takes 5 minutes to fill a 15 litre bucket from a water tap of diameter (2)/(√(π))…JEE Main 2015 (10 Apr, Shift 1)
Water is flowing continuously from a tap having an internal diameter 8 × 10⁻³ m. The…JEE Main 2011 (AIEEE)
In case of liquid, if Reynold's number ' Rn ' is 1450, then the flow of liquid willMHT CET 2026 (20 Apr, Shift 1)
In case of fluid flowing on horizontal surface the flow of fluid becomes unsteady when…MHT CET 2026 (18 Apr, Shift 2)
An in-compressible fluid flows steadily through a horizontal cylindrical pipe. The pipe…MHT CET 2026 (19 Apr, Shift 1)
Water flows through a horizontal pipe at a speed 'V'. Internal diameter of the pipe is…MHT CET 2026 (16 Apr, Shift 1)
A water spray gun is attached to a hose of cross sectional area 30 cm². The gun comprises…JEE Main 2026 (4 Apr, Shift 2)
Water flows through a horizontal pipe of varying cross-section at the rate of π × 10⁻¹…MHT CET 2025 (21 Apr, Shift 2)

Types of Flow, Reynolds Number & Continuity question from JEE Main 2019 (11 Jan, Shift 1)

More questions on Types of Flow, Reynolds Number & Continuity