You visited us 3 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Thermodynamic Processes

Water is flow...

Question

Water is flowing with velocity $4 m s^{- 1}$ in a cylinder of diameter 8 cm. It is connected to a pipe with it end tip of diameter 2 cm. Calculate the velocity of water at this free end.

4 {m s}^{- 1}

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

8 {m s}^{- 1}

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

32 {m s}^{- 1}

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

64 {m s}^{- 1}

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

Open in App

Solution

The correct option is B $64 {m s}^{- 1}$
Since the water flows continuously, the amount of volume flowing per second remains same throughout the pipe.
Thus, $A_{1} v_{1} = A_{2} v_{2}$
$\Rightarrow (π {0.04}^{2}) (4) = (π {0.01}^{2}) (v_{2})$
$\Rightarrow v_{2} = 64 m / s$

Suggest Corrections

Similar questions

Q. In a horizontal pipe of non-uniform cross-section, water flows with a velocity of

1

m s^{- 1}

at a point where the diameter of the pipe is

20

cm. The velocity of water in

(m s^{- 1})

at a point where the diameter of the pipe is

5

cm is:

Q. 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 :

Water is flowing steadily out through the end of a vertical pipe with a velocity of 4 ms^-1. What will be the velocity of water at a distance from the end of the pipe where the area of cross section of the stream of water is (2/3)A? (Here A is the area of cross-section of the pipe)

Q. Two water pipes of diameters

4 c m

and

8 c m

are connected with main supply line. The velocity of flow of water in the pipe of

8 c m

diameter is ----times that of

4 c m

diameter pipe.

Q. Two water pipes of diameters

2 c m

and

4 c m

are connected with the main supply line. The velocity of flow of water in the pipes of

2 c m

diameter is

Join BYJU'S Learning Program

Water is flowing with velocity 4ms−1 in a cylinder of diameter 8 cm. It is connected to a pipe with it end tip of diameter 2 cm. Calculate the velocity of water at this free end.

The correct option is B 64 ms−1Since the water flows continuously, the amount of volume flowing per second remains same throughout the pipe.Thus, A1v1=A2v2⇒(π0.042)(4)=(π0.012)(v2)⇒v2=64m/s

Water is flowing with velocity $4 m s^{- 1}$ in a cylinder of diameter 8 cm. It is connected to a pipe with it end tip of diameter 2 cm. Calculate the velocity of water at this free end.

The correct option is B $64 {m s}^{- 1}$
Since the water flows continuously, the amount of volume flowing per second remains same throughout the pipe.
Thus, $A_{1} v_{1} = A_{2} v_{2}$
$\Rightarrow (π {0.04}^{2}) (4) = (π {0.01}^{2}) (v_{2})$
$\Rightarrow v_{2} = 64 m / s$