Water from a pipe is coming at a rate of 100 litres per minute. If… | JEE Main 2019 (8 Apr, Shift 1)

Q18JEE Main 2019 · 8 APR · SHIFT 1Medium

Types of Flow, Reynolds Number & Continuity

Water from a pipe is coming at a rate of 100 litres per minute. If the radius of the pipe is 5 cm, the Reynolds number for the flow is of the order of: (density of water = 1000 kg/m3, coefficient of viscosity of water = 1mPas)

Show answer and solution

Answer: (b)

$R_e = \dfrac{\rho v D}{\eta}$ with $v = \dfrac{Q}{\pi r^2}$ , $D = 2r$ gives $R_e = \dfrac{2\rho Q}{\pi \eta r}$ .
$Q = 100\text{ L/min} = \dfrac{0.1}{60} \approx 1.67\times10^{-3}\text{ m}^3/\text{s}$
$R_e = \dfrac{2\times1000\times1.67\times10^{-3}}{\pi\times10^{-3}\times0.05} \approx 2.1\times10^{4}$
So the answer is (b) of the order of $10^4$ .

Report a mistake

More questions on Types of Flow, Reynolds Number & Continuity

Water from a tap emerges vertically downwards with an initial speed of 1.0 ms–1. The…JEE Main 2019 (10 Apr, Shift 2)
A liquid of density ρ is coming out of a hose pipe of radius a with horizontal speed v…JEE Main 2019 (11 Jan, Shift 1)
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)

Types of Flow, Reynolds Number & Continuity question from JEE Main 2019 (8 Apr, Shift 1)

More questions on Types of Flow, Reynolds Number & Continuity