Two water pipes `P` and `Q` having diameters `2 xx 10^(-2) m ` and `4 xx 10^(-2) m`, respectively, are joined in series with the main supply line of water. The velocity of water flowing in pipe `P` is

Options

A. `4` times that of `Q`
B. `2` times that of `Q`
C. `1//2` times that of `Q`
D. `1//4` times that of `Q`

Answer

A

Explanation

by `A_(1)V_(1) = A_(2)V_(2)`
`((piD_(1)^(2))/(4))V_(1) = ((piD_(2)^(2))/(4))V_(2)`
`V_(2) = 4V_(1)`