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The rate of water gushing out of a pipe ...

The rate of water gushing out of a pipe of radius 5 cm is `100 L m i n^(-1)`. The Reynolds number for the flow is of the orderof [density of water = `1000 kg m^(-3)` ,coefficient of viscosity of water = 1m Pa s ]

A

` 10 ^ 2 `

B

`10 ^3 `

C

` 10 ^6 `

D

`10 ^4 `

Text Solution

Verified by Experts

The correct Answer is:
D
`R=(rhoVd)/(n),Q=100 1//min=0.1m^(3)//min=(0.1)/(60)m^(3)//s`
`V=(Q)/(A)=(0.1)/(60)xx(1)/(pixx(0.05)^(2))RightarrowR=10^(3)xx(0.1)/((60xxpixx(0.05)^(2))/(10^(-3)))xx0.1=(10^4)/(60xxpixx25xx10^(-4))approx2xx10^(4)`
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