Water is flowing in a pipe of diameter 4 cm with a velocity `3 m//s` . The water then enters into a tube of diameter 2 cm . The velocity of water in the other pipe is

Options

A. 12 m/s
B. 6 m/s
C. 3 m/s
D. 1.5 m/s

Answer

A

Explanation

`A_1V_(1)=A_(2)V_(2) `
`implies (V_(2))/(V_(1))=((r_(1))/(r_(2)))^(2)implies r_(2) = 2r_(1)`
`implies v_(2) =v_(1) ((r_(1))/(2r_(1)))^(2) implies (V_(1))/(4)=(V)/(4)`