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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//min=0.1m^3//min`
`=(0.1)/(60)m^3//s`
`V=Q/A=(0.1)/60xx1/(pixx(0.05)^2)" "implies" "R=10^3xx(0.1)/(60xxpixx(0.05)^2)/(10^(-3))xx0.1=(10^4)/(60xxpixx25xx10^(-4))~~2xx10^4`
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