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

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:

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
At a depth of `2m , V = sqrt(u^2 + 2gh)`
`V = sqrt(3^2 + 2 xx 10 xx 2) = sqrt(u^2 + 2gh)`
Using equation of continuity `a_1v_1 = a_2v_2`
`10^(-4) xx 3 = a_(2) xx 7`
`a_(2) = 3/7 xx 10^(-4) m^(2), a_(2) ~~ 4.3 xx 10^(-5) m^(2)`.
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN REVISION TEST - 18

    VMC MODULES ENGLISH|Exercise PHYSICS - SECTION 2|5 Videos

  • JEE MAIN REVISION TEST - 13

    VMC MODULES ENGLISH|Exercise PHYSICS (SECTION 2)|5 Videos

  • JEE MAIN REVISION TEST - 19

    VMC MODULES ENGLISH|Exercise PHYSICS|25 Videos

Similar Questions

Explore conceptually related problems

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

Water from a tap emerges vertically downwards with initial velocity 4ms^(-1) . The cross-sectional area of the tap is A. The flow is steady and pressure is constant throughout 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 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.

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

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

A stream of water of density rho , cross sectional area A, and speed u strikes a wall that is perpendicular to the direction of the stream, as shown in the figure below. The water then flows sideways across the wall. The force exerted by the stream on the wall is

A horizontal pipeline carries water in a streamline flow. At a point along the pipe, where the cross- sectional area is 10cm^2 , the water velocity is 1ms^-1 and the pressure is 2000 Pa. The pressure of water at another point where the cross-sectional area is 5cm^2 , is........Pa. (Density of water =10^3kg.m^-3 )

A horizontal pipeline carries water in a streamline flow. At a point along the pipe, where the cross- sectional area is 10cm^2 , the water velocity is 1ms^-1 and the pressure is 2000 Pa. The pressure of water at another point where the cross-sectional area is 5cm^2 , is........Pa. (Density of water =10^3kg.m^-3 )

A solenoid of cross-sectional area 2xx 10^(-4)m^(2) and 900 turns has 0.6A m^(2) magnetic moment. Then the current flowing through it is

A lawn sprinkler has 20 holes, each of cross-sectional area 2.0 x 10^(-2) cm^(2) , and is connected to a hose pipe of cross sectional area 2.4 cm^(2) . If the speed of water in the hose pipe is 1.5 ms^(-1) , the speed of water as it emerges from the holes is