Home
Class 11
PHYSICS
The cylindrical tube of a spray pump has...

The cylindrical tube of a spray pump has radius R, one end of which has 'n' fine holes, each of radius r. If the speed of the liquid in the tube is V, what is the speed of the ejection of the liquid through the holes.

Text Solution

Verified by Experts

Let the required speed by `v.`
According to equation of continuity `a.v. = av`
`v. = (av)/(a.) = (piR^2 V)/(n pi r^2) implies v. = (R^2v)/(nr^2)`.
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF MATTER

    FULL MARKS|Exercise Additional Questions Solved - 2 - Mark Questions|20 Videos
  • OSCILLATIONS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (IV NUMERICAL PROBLEMS )|10 Videos
  • SAMPLE PAPER - 2

    FULL MARKS|Exercise PART-IV|10 Videos

Similar Questions

Explore conceptually related problems

A stone is fastened to one end of a string and is whirled in a verticla circle of radius R. Find the minimum speed the stone can have at the highest point of the circle.

A wheel of moment of inertia I and radius r is free to rotate about its centre as shown in figure. A string is wrapped over its rim and a block of mass m is attached to the free end of the string. The system is released from rest. Find the speed of the block as it descends through a height h.

A liquid flows throug ha pipe of 1.0 mm radius and 10 cm length under a pressure 10^(4) dyne cm^(-2) . Calculate the rate of flow and the speed of the liquid coming out of the tube. The coefficient of viscosity of the liquid is 1.25 centipoise.

A liquid flows throug ha pipe of 1.0 mm radius and 10 cm length under a pressure 10^(4) dyne cm^(-2) . Calculate the rate of flow and the speed of the liquid coming out of the tube. The coefficient of viscosity of the liquid is 1.25 centipoise.

When a solid moves through a liquid, the liquid opposes the motion with a force F. The magnitude of F depends on the coefficient of viscosity eta of the liquid, the radius r of the sphere and the speed v of the sphere. Assuming that F is proportional to different powers of these quantities, guess a formula for F using the method of dimension.

Figure shows a rough track a portion of which is in the form of a cylinder of radius R. With what minimum linear speed should as sphere of radius r be set rolling on the horizontal part so that it completely goes round the circle on the cylindrical part.

A pendulum having a bob of mas m is hanging in a ship sailing along the equator from east to west. When the ship is stationary with respect to water the tension in the string is T_0 . a. Find the speed of the ship due to rotation of the earth about its axis. b. find the difference between T_0 and the earth's attraction on the bob. c. If the ship sails at speed v, what is the tension in the string ? Angular speed of earth's rotation is omega and radius of the earth is R.

The equation of a curve passing through (1,0) for which the product of the abscissa of a point P and the intercept made by a normal at P on the x-axis equal twice the square of the radius vector of the point P is (a) ( b ) (c) (d) x^(( e )2( f ))( g )+( h ) y^(( i )2( j ))( k )=( l ) x^(( m )4( n ))( o ) (p) (q) (b) ( r ) (s) (t) x^(( u )2( v ))( w )+( x ) y^(( y )2( z ))( a a )=2( b b ) x^(( c c )4( d d ))( e e ) (ff) (gg) (c) ( d ) (e) (f) x^(( g )2( h ))( i )+( j ) y^(( k )2( l ))( m )=4( n ) x^(( o )4( p ))( q ) (r) (s) (d) None of these

A large cylindrical tank has a hole of area A at its bottom and water is poured into the tank through a tube of cross-sectional area A ejecting water at the speed v . Which of the following is true?

Figure shows a mass m placed on a frictionless horizontal table and attached toa string passing through a mall hole in the surface. Initially, themas movesin a circle of radius r_0 with a speed v_0 and the ree end of the string is held by a person. The person pulls on the string slowly to decrease the radius of th circle of r. a. Find the tension in the string when the mass moves in the circle of radius r. b. Calculate the chasnge in the kinetic energy of the mass

FULL MARKS-PROPERTIES OF MATTER-Additional Questions Solved - Numerical Questions
  1. Two steel wires of lengths 1 m and 2 m have diameters 1 mm and 2mm res...

    Text Solution

    |

  2. A wire of length 2m and cross-sectional area 2 xx 10^(-6) m^(2) is mad...

    Text Solution

    |

  3. A wire is stretched by 0.01 m when it is stretched by certain force. A...

    Text Solution

    |

  4. Two wires of same material and same diameter have lengths in the ratio...

    Text Solution

    |

  5. The approximate depth of an ocean is 2700m. The compressibility of wat...

    Text Solution

    |

  6. An iceberg of density 900 kgm^(-3) is floating in water of density 100...

    Text Solution

    |

  7. A cubical copper block has eahc side 2.0 cm. It is suspended by a stri...

    Text Solution

    |

  8. By sucking through a straw, a student can reduce the pressure in his l...

    Text Solution

    |

  9. A sphere made of a material of specific gravity 8 has a concentric sph...

    Text Solution

    |

  10. A solid floats in liquid A with half its volume immersed and in liquid...

    Text Solution

    |

  11. An ideal liquid is flowing in a cylindrical tube of internal diameter ...

    Text Solution

    |

  12. The cylindrical tube of a spray pump has radius R, one end of which ha...

    Text Solution

    |

  13. What is the pressure on a swimmer 10 m below, the surface of a lake ?

    Text Solution

    |

  14. A square metal plate of 10 cm side moves parallel to another plate wit...

    Text Solution

    |

  15. Find the terminal velocity of a steel ball 2 mm in diameter falling th...

    Text Solution

    |

  16. The terminal velocity of a copper ball of radius 2 mm falling through ...

    Text Solution

    |

  17. Water is flowing in a pipe of radius 1.5 cm with an average velocity o...

    Text Solution

    |

  18. Water is flowing with a speed of 2 ms^(-1) in a horizontal pipe with c...

    Text Solution

    |

  19. Calculate the height to which water will rise in capillary tube of 1.5...

    Text Solution

    |