Home
Class 12
PHYSICS
Water from a tap emerges vertically down...

Water from a tap emerges vertically downwards with an initial spped of `1.0ms^-1`. The cross-sectional area of the tap is `10^-4m^2`. Assume that the pressure is constant throughout the stream of water, and that the flow is steady. The cross-sectional area of the stream 0.15 m below the tap is

A

` 5 xx 10 ^(-4) m ^ 2 `

B

` 1 xx 10 ^(-5 ) m ^ 2 `

C

`2 xx 10 ^(-5 ) m^2 `

D

` 5 xx 10 ^(-5 ) m ^ 2 `

Text Solution

Verified by Experts

The correct Answer is:
D
`P_(0)+rhogh+(1)/(2)rhov_(1)^(2)=P_(0)+(1)/(2)rhov_(2)^(2)`
`RightarrowV_(2)^(2)=V_(1)^(2)+2gh`
`V_(2)=2m//s`
`A_(1)V_(1)=A_(2)V_(2)RightarrowA_(2)=(10^(-4))/(2)=5xx10^(-5)m^(2)`
Promotional Banner

Similar Questions

Explore conceptually related problems

Water from a tap emerges vertically downward with an initial speed of 3.0 m/s. The cross-sectional area of the tap is 10^(-4)m^2 . Assume that the pressure is constant throughout the stream of water and that the flow is steady. The cross-sectional area of the stream 2 m below the tap is:

Water from a tap emerges vertically downwards an intial speed of 1 m/s . The cross-sectional area of the tap is 10^(-4)m^(2) . Assume that the pressure is contant throughout the stream of water and that the flow is steady . The cross-sectional area of the steam. 0.15 m below the tap is

Water from a tap emerges vertically downwards with iitial velocity 4ms^(-1) . The cross-sectional area of the tap is A. The flow is steady and pressure is constant thorughout the stream of water. The distance h vertically below the tap, where the cross-sectional area of the stream becomes ((2)/(3))A is (g=10m//s^(2))

Water from a tap emerges vertically downward with an initial speed of 1.0ms^(-1) . The cross-sectional area of the tap is 10^(-4) m^(2) . Assume that the flow is steady. What is the cross-sectional area of the stream 0.15 m below the tap? Use g=10 ms^(-2) .

Water from a tap emerges vertically downwards with an initial velocity V_(0) . Assume pressure is constant throughout the stream of water and the flow is steady. Find the distance form the tap at which cross-sectional area of stream is half of the cross-sectional area of stream at the tap.

In the previous question, at the mouth of the tap the area of cross-section is 2.5 cm^2 and the speed of water in 3 m//s . The area of cross-section of the water column 80 cm below the tap is.

A piston of cross-sectional area 100 cm^(2) is used in a hydraulic pressure to exert a force of 10^(7) dyne on the water. The cross-sectional area of the other piston which support a truck of mass 2000 kg is

Water from a tap of cross sectional area 1 cm^2 starts falling down vertically, with a speed of 1m//s . What is the area of cross section of the stream of water at a distance of 20cm below the mouth of the tap? [Assume that (1) the flow is steady, (2) pressure is constant throughout the stream of water and g= 10m//s^2 ]

A horizontal pipeline carries water in a streamline flow. At a point along the tube where the cross sectional area is 10^(-2)(m^2) , the water velcity is 2m//s and the pressure is 8000Pa. The pressure of water at another point where cross sectional area is 0.5xx(10)^(-2)(m^2) is

At the mount of the tap area of cross-section is 2.0cm^(2) and the speed of water is 3m//s . The area of cross-section of the water column 80 cm below the tap is (use g=10m//s^(2))