Home
Class 11
PHYSICS
A steel rod 100 cm long is clamped at it...

A steel rod 100 cm long is clamped at its middle. The fundamental frequency of longitudinal vibraions of the rod are givne to be `2.53`kHz. What is the speed of sound in steel ?

Text Solution

Verified by Experts

The correct Answer is:
`5.06 xx 10^(3) ms^(-1)`
`(lamda)/(2)=1rArr lamda=2m`
`v=f lamda=2.53xx10^(3)xx2=5.06xx10^(3)m//s`
Promotional Banner

Topper's Solved these Questions

  • WAVES AND OSCILLATIONS

    ALLEN |Exercise Part-1(Exercise-04)[B]|13 Videos

  • WAVES AND OSCILLATIONS

    ALLEN |Exercise Part-1(Exercise-05)[A]|28 Videos

  • WAVES AND OSCILLATIONS

    ALLEN |Exercise Part-1(Exercise-03)|31 Videos

  • SEMICONDUCTORS

    ALLEN |Exercise Part-3(Exercise-4)|50 Videos

Similar Questions

Explore conceptually related problems

A steel rod 100 cm lomg is clamped at its middle. The fundamental frequency of longitudinal vibrations of the rod are given to be 2.53 kHz. What is the speed of sound in steel?

An aluminium rod having a length 100 cm is clamped at its middle point and set into longitudinal vibrations. Let the rod vibrate in its fundamental mode. The density of aluminium is 2600 kg//m^(3) and its Young's modulus is 7.8xx10^(10) N//m^(2) . The frequency of the sound produced is :-

A flute which we treat as a pipe open at both ends is 60 cm long. (a) What is the fundamental frequency when all the holes are covered? (b) How far from the mouthpieces should a hole be uncovered for the fundamental frequency to be 330 H_(Z) ? Take speed of sound in air as 340 m//s .

A metallic rod of length 1m is rigidly clamped at its mid point. Longirudinal stationary wave are setup in the rod in such a way that there are two nodes on either side of the midpoint. The amplitude of an antinode is 2 xx 10^(-6) m . Write the equation of motion of a point 2 cm from the midpoint and those of the constituent waves in the rod, (Young,s modulus of the material of the rod = 2 xx 10^(11) Nm^(-2) , density = 8000 kg-m^(-3) ). Both ends are free.

A steel wire has a length of 12.0 m and a mass of 2.10 kg. What should be the tension in the wire is so that speed of a transverse wave on the wire equals the speed of sound in dry air is 343 ms ^(-1).

A steel wire has a length of 12.0m and a mass of 2.10kg. What should be the tension in the wire so that speed of a transverse wave on the wire equals the speed of sound in dry air at 20^(@)C= 343ms^(-1)

A steel rod of length 1 m is heated from 25^@ "to" 75^@ C keeping its length constant. The longitudinal strain developed in the rod is ( Given, coefficient of linear expansion of steel = 12 xx 10^-6//^@ C ).

When I m long metallic rod is vertically dropped it strikes the solid metallic floor and 1.2 kHz. Find speed of this sound wave in the rod.

A string 25cm long and having a mass of 2.5 gm is under tension. A pipe closed at one end is 40cm long. When the string is set vibrating in its first overtone and the air in the pipe in its fundamental frequency, 8 beats per second are heard. It is observed that decreasing the tension in the string decreases beat frequency. If the speed of sound in air is 320m//s , find the tension in the string.

A 60 cm long granite rod is fixed at its midpoint and then longitudinal waves are set up in it. Find fundamental frequency of these waves. Density of granite is 2.7 xx 10^(3) kg/m3 and its Young modulus is 9.27 xx 10 ^(10) Pa.

ALLEN -WAVES AND OSCILLATIONS-Part-1(Exercise-04)[A]
  1. A string vibrate according to the equation y = 5 sin ((pi x)/(3)) cos ...

    Text Solution

    |

  2. A bat emits ultrasonic sound of frequency 100 kHz in air. If this soun...

    Text Solution

    |

  3. The vibrations of a string of length 60cm fixed at both ends are repre...

    Text Solution

    |

  4. Given below are some functions of x and t to represent the displacemen...

    Text Solution

    |

  5. If the bulk modulus of water is 4000 MPa, what is the speed of sound i...

    Text Solution

    |

  6. A steel rod 100 cm long is clamped at its middle. The fundamental freq...

    Text Solution

    |

  7. Two successive resonance frequencies in an open organ pipe are 1944 Hz...

    Text Solution

    |

  8. A flute which we treat as a pipe open at both ends is 60 cm long. (a) ...

    Text Solution

    |

  9. A string 25cm long and having a mass of 2.5 gm is under tension. A pip...

    Text Solution

    |

  10. Two tuning fork having frequency 300 Hz & 305 Hz produce beat phenomen...

    Text Solution

    |

  11. Two sitar strings A and B playing the note 'Dha' are slightly out of ...

    Text Solution

    |

  12. A source of sound of frequency 256 Hz is moving towards a wall with a ...

    Text Solution

    |

  13. A person going away from a factory on his scooter at a speed of 36 km/...

    Text Solution

    |

  14. A car has two horns having a difference in frequency of 180 Hz. The ca...

    Text Solution

    |

  15. A whistle emitting a sound of frequency 440 Hz is tied to string of 1....

    Text Solution

    |

  16. Two tuning forks with natural frequencies of 340 Hz each move relative...

    Text Solution

    |

  17. A SONAR system fixed in a submarine operates at a frequency 40.0kHz. A...

    Text Solution

    |

  18. A sonometer wire under tension of 64 N vibrating in its fundamental mo...

    Text Solution

    |

  19. A train approaching a hill at a speed of 40 km//hr sounds a whistle of...

    Text Solution

    |

  20. A train of length l is moving with a constant speed v circular track o...

    Text Solution

    |