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Two water pipes of diameters 2 cm and 4 ...

Two water pipes of diameters 2 cm and 4 cm are connected with the main supply line. The velocity of flow of water in the pipe of 2 cm

A

4 times that in the other pipe

B

`(1)/(4)` times that in the other pipe

C

2 times that in the other pipe

D

`(1)/(2)` times that in the other pipe

Text Solution

Verified by Experts

The correct Answer is:
A

`d_(A) = 2 cm` and `d_(B) = 4 cm therefore r_(A) =1 cm` and `r_(B) = 2 cm`
From equation of continuity av = constant
`(v_(A))/(v_(B)) = (a_(B))/(a_(A)) = (pi(r_(B))^(2))/(pi(r_(A))^(2))=((2)/(1))^(2)impliesv_(A)=4v_(B)`
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