Home
Class 11
PHYSICS
A syringe containing water is held horiz...


A syringe containing water is held horizontally with its nozzle at a height h above the ground as shown in fig the cross sectional areas of the piston and the nozzle are A and a respectively the piston is pushed with a constant speed v. Find the horizontal range R of the stream of water on the ground.

Text Solution

Verified by Experts

The correct Answer is:
`R=(Av)/(a)sqrt((2h)/(a))`
Promotional Banner

Topper's Solved these Questions

  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN |Exercise Exercise 4 A (Viscosity)|3 Videos

  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN |Exercise Exercise 4 B (Bran storming Subjective Exercise)|11 Videos

  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN |Exercise Exercise 4 A (Fluid Statics)|13 Videos

  • CENTRE OF MASS

    ALLEN |Exercise EXERCISE-V B|19 Videos

  • ERROR AND MEASUREMENT

    ALLEN |Exercise Part-2(Exercise-2)(B)|22 Videos

Similar Questions

Explore conceptually related problems

Consider a horizontally oriented syringe containing water located of a height of 1.25 m above the ground. The diameter of plunger is 8 mm and the diameter if the nozzle is 2 mm . The plunger is pushed with a constant speed of 0.25 m//s . Find the horizontal range of water stream on the ground. Take g = 10 m//s^2 . .

A spray gun is shown in the figure where a piston pushes air out of a nozzle. A thin tube of uniform cross section is connected to the nozzle. The other end of the tube is in a small liquid container. As the piston pushes air through the nozzle, the liquid from the container rises into the nozzle and is sprayed out. For the spray gun shown, the radii of the piston and the nozzle are 20mm and 1mm respectively. The upper end of the container is open to the atmosphere. If the piston is pushed at a speed of 5mms^-1 , the air comes out of the nozzle with a speed of

A spray gun is shown in the figure where a piston pushes air out of a nozzle. A thin tube of uniform cross section is connected to the nozzle. The other end of the tube is in a small liquid container. As the piston pushes air through the nozzle, the liquid from the container rises into the nozzle and is sprayed out. For the spray gun shown, the radii of the piston and the nozzle are 20mm and 1mm respectively. The upper end of the container is open to the atmosphere. If the density of air is rho_a , and that of the liquid rho_l , then for a given piston speed the rate (volume per unit time) at which the liquid is sprayed will be proportional to

A particle is ejected from the tube at A with a velocity V at an angle theta with the verticle y-axis at a height h above the ground as shown. A strong horizontal wind gives the particle a constant horizontal acceleration a in the positive x-direction. If the particle strikes the ground at a point directly under its released position and the downward y-acceleration is taken as g then find h.

The piston and nozzle of a syringe kept horizontal have diameters 5 mm and 1 mm. the piston is pushed with constant velocity of 0.2ms^(-2) Find the horizontal distance travelled by water jet before touchig water [g=10m//s^(2)] . Height of syringe from ground is 1 m.

A fixed container of height H with large cross-sectional area A is completely filled with water. Two small orifice of cross-sectional area a are made, one at the bottom and the other on the vertical side of the container at a distance H/2 from the top of the container find the time taken by the water level to reach a height of H/2 from the bottom of the container.

A stone is projected from the ground in such a direction so as to hit a bird on the top of a telegraph post of height h and attains the maximum height of 2h above the ground. If at the insatant of projection, the bird were to fly away horizontally with a uniform speed, find the ratio between the horizontal velocity of bird and the horizontal component of velocity of stone, if the stone hits the bird while descending.

A piston of mass M=3kg and radius R=4cm has a hole into which a thin pipe of radius r=1 cm is inserted the piston can enter a cylinder tightly and without friction an initially it is at the bottom of the cylinder 750 gm of water is now poured into the pipe so that the piston&pipe and lifted up as shown find the height H of water in the cylinder and height h of water in the pipe.

A ball collides elastically with a massive wall moving towards it with a velocity of v as shown. The collision occurs at a height of h above ground level and the velocity of the ball just before collision is 2v in horizontal direction. The distance between the foot of the wall and the point on the ground where the ball lands, at the instant the ball lands, will be :