Two water pipes of diameters $2 c m$ and $4 c m$ are connected with the main supply line. If velocity of flow of water in the pipe of $4 c m$ diameter is $X$ , then velocity in $2 c m$ diameter is :

2 X

No worries! We‘ve got your back. Try BYJU‘S free classes today!

4 X

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

6 X

No worries! We‘ve got your back. Try BYJU‘S free classes today!

8 X

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $4 X$
$d_{A} = 2 c m$ and $d_{B} = 4 c m$
$r_{A} = 1 c m$ and $r_{B} = 2 c m$
From equation of continuity,
$A V =$ constant
$\frac{X_{A}}{X_{B}} = \frac{a_{B}}{a_{A}} = \frac{π (r_{B})^{2}}{π (r_{A})^{2}} = {(\frac{2}{1})}^{2}$
$\Rightarrow X_{A} = 4 X$

Suggest Corrections

Similar questions

2 c m

4 c m

2 c m

4 c m

8 c m

8 c m

4 c m

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 diameter is

2 \times 10^{- 2} m

4 \times 10^{- 2} m

Join BYJU'S Learning Program