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water is flowing through a tube of non-...

water is flowing through a tube of non-uniform cross-section. If the radii of the tube at the ebtrance and the exit are in the ratio `3:2` then the ratio of the velocites of flow of watern at the entrance and the exit is

A

`9:4`

B

`4:9`

C

`8:27`

D

`27 :8`

Text Solution

Verified by Experts

(b) From equation of conityuity
`A_(1)V_(1)=A_(2)V_(2)`
`impliespir_(1)^(2)=pir_(2)^(2)V_(2)`
`implies(V_(1))/(V_(2))=(r_(2)^(2))/(r_(1)^(2))=(4)/(9)`
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