Home
Class 11
PHYSICS
An air column is constructed by fitting ...

An air column is constructed by fitting a movable piston in along cylindrical tube. Longitudinal waves are sent in the tube by as tuning fork of frequency 416 Hz. How far from the open end should the piston, be so that the air column in the tube may vibrate in its first overtone? Speed of sound in air is `333ms^-1`.

Text Solution

Verified by Experts

The Piston provides the closed end of the columne and an antinode of pressure is formed there.At the open there is one more node and an antinode in the column as shown in ure. The length of the tube shouldthen be`3lamda/4`.

THe wavelength is `lamda=u/v=(333ms^-1)/(416s^-1)=0.800m`
Thus, the length of the tube is
`(3lamda)/4=(3xx0.800m)/4=60.0cm`.
Promotional Banner

Topper's Solved these Questions

  • SOME MECHANICAL PROPERTIES OF MATTER

    HC VERMA|Exercise Exercises|32 Videos

  • SPECIFIC HEAT CAPACITIES OF GASES

    HC VERMA|Exercise All Questions|74 Videos

Similar Questions

Explore conceptually related problems

A cylindrical metal tube has a length of 50 cm and is open at both ends. Find the frequencies between 1000 Hz and 2000 Hz at which the air column in the tube can resonate. Speed of sound in air is 340 m s^-1 .

In a resonance tube, the first resonance is obtained at 40 cm length, using a tuning fork of frequency 450 Hz. Ignoring end correction, the velocity of sound in air is

A closed organ pipe can vibrate at a minimum frequency of 500 Hz. Find the length of the tube. Speed of sound in air = 340 m s^-1 .

An air column in a pipe, which is closed at one end, will be in resonance with a vibrating tuning fork of frequency 256 Hz, if the length of the column in centimeter is (velocity of sound in air 340 m/s)

Consider the situation shown in figure. The wire which has a mass of 4.00 g oscillates in its second harmonic and sets the air column in the tube into vibrations in its fundamental mode. Assuming that the speed of sound in air is 40 m s^-1 , find the tension in the wire. .

Two sound waves, originating from the same source, travel along different paths in air and then meet at a point. If the source vibrates at a frequency of 1.0 kHz and one path is 83 cm longer than the other, what will be the nature of interference? The speed of sound in air is 332 ms^-1 .

A piston is fitted in a cylindrical tube of small cross section with the other end of the tube open. The tube resonates with a tuning fork of frequency 512 Hz. The piston is gradually pulled out of the tube and it is found that a second resonance occurs when the piston is pulled out through a distance of 32.0 cm. Calculate the speed of sound in the air of the tube.

A U-tube having unequal arm-lengths has water in it. A tuning fork of frequency 440 Hz can set up the air in the shorter arm in its fundamental mode of vibration and the same tuning fork can set up the air in the longer arm in its first overtone vibration. Find the length of the air columns Neglect any end effect and assume that the speed of sound in air = 330 ms^-1

A metre - long tube open at one end, with a movalble piston at the other end, shows resonance with a fixed frequency source (a tunning fork of frequency 340 Hz)when the tube length is 25.5 cm or 79.3 cm. Estimate the speed of sound in air at the temperature of the experiment. The edge effects may be neglected.

An electronically driven loudspeaker is placed near the open end of a resonance column apparatus. The length of air column in the tube is 80 cm. The frequency of the loudspeaker can be varied between 20 Hz and 2 kHz. Find the frequencies at which the column will resonate. Speed of sound in air = 320 m s^-1

HC VERMA-SOUND WAVES-All Questions
  1. If the intensity increased by a factor of 20, byhow may decibels is th...

    Text Solution

    |

  2. Two sound waves, originating from the same source, travel along differ...

    Text Solution

    |

  3. An air column is constructed by fitting a movable piston in along cyli...

    Text Solution

    |

  4. A tuning fork A frequency 384Hz gives 6 beats in 2 seconds when sounde...

    Text Solution

    |

  5. A sound detector is placed on a railway platform. A train, approaching...

    Text Solution

    |

  6. An ultrasound signal of frequency 50 kHz is sent vertically into sea w...

    Text Solution

    |

  7. An aero plane is going towards east at a speed of 510 kmh^-1 at a heig...

    Text Solution

    |

  8. A sound wave of frequency 10 kHz is travelling in air with a speed of ...

    Text Solution

    |

  9. On a winter day sound travels 336 meters in one second. Find the atmos...

    Text Solution

    |

  10. The constant gamma of oxygen as well as for hydrogen is 1.40. If the s...

    Text Solution

    |

  11. A microphone of cross sectional area 0.80 cm^2is placed in front of a...

    Text Solution

    |

  12. Find the amplitude of the vibration of the particles of air through wh...

    Text Solution

    |

  13. Figure shows a tube structure in which a sound signal is sent from one...

    Text Solution

    |

  14. A source emitting sound of frequency 180 Hz is placed in front of a wa...

    Text Solution

    |

  15. A tuning fork vibrates at 264 Hz. Find the length of the shortest clos...

    Text Solution

    |

  16. The fundamental frequency of a closed organ pipe is equal to the first...

    Text Solution

    |

  17. A tuning fork vibrating at frequency 800 Hz produces resonance in a re...

    Text Solution

    |

  18. A certain organ pipe resonates in its fundamental mode at a frequency ...

    Text Solution

    |

  19. An aluminium rod having a length of 90.0 cm is clamped at its middle p...

    Text Solution

    |

  20. The string of violin emits a note of 440 Hz at its correct tension. T...

    Text Solution

    |