Home
Class 12
PHYSICS
An aluminium rod having a length 100 cm ...

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

1250 Hz

B

2740 Hz

C

2350 Hz

D

1685 Hz

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • RACE

    ALLEN|Exercise Basic Maths (Wave Motion & Dopplers Effect) (Superposition of waves interfarence, beats)|15 Videos

  • NEWTONS LAWS OF MOTION

    ALLEN|Exercise EXERCISE-III|28 Videos

  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise Example|1 Videos

Similar Questions

Explore conceptually related problems

An aluminium rod having a length of 90.0 cm is clamped at its middle point and is set into longitudinal vibrations by stroking it with a rosined cloth. Assume that the rod vibrates in it sfundmental mode of vibration. The density of aluminiumis 2600 kgm^-3 and it s Young's modulus is 7.80xx10^10 Nm^-2 . Find a. the speed of sound in aluminium, b. the wavelength of sound waves produced in the rod. c. THefrequency of the sound produced and d.the wavelength of the sound produced in air. Take the speed of sound in air t be 340 ms^-1 .

A granite rod of 60 cm length is clamped at its middle point and is set into longitudinal vibrations. The density of granite is 2.7 xx10^(3) kg//m^(3) and its Young’s modulus is 9.27 xx10^(10) Pa. What will be the fundamental frequency of the longitudinal vibrations ?

A steel rod 100 cm long is clamped at its midpoint. The fundamental frequency of longitudinal vibrtions of the rod is 3 kHz. What is the speed of the sound in the rod?

A metalrod of length 1.5 m is clamed at the centre. When it is set with longitudinal vibratons it emits a note of 1000 Hz. Determine the Young's modulus if the density of material = 8 xx 10^(3) kg/m^(3)

The diameter of a brass rod is 4 mm and Young's modulus of brass is 9 xx 10^(10) N//m^(2) . The force required to stretch by 0.1 % of its length is

A steel rod of length 100 cm is clamped at the middle. The frequency of the fundamental mode for the longitudinal vibrations of the rod is (Speed of sound in steel = 5 km s^(-1) )

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

The diameter of a brass rod is 4 mm and Young's modulus of brass is 9xx10^(10)" N/m"^(2) . The force required to stretch by 0.1% of its length

ALLEN-RACE-Basic Maths (Wave Motion & Dopplers Effect) (Stationary waves & doppler effect, beats)
  1. The frequency of a radar is 780 MHz. After getting reflected from an a...

    Text Solution

    |

  2. A locomotive approaching a crossing at a speed of 20 ms^(-1) sounds a ...

    Text Solution

    |

  3. An aluminium rod having a length 100 cm is clamped at its middle point...

    Text Solution

    |

  4. A column of air at 51^(@) C and a tuning fork produce 4 beats per seco...

    Text Solution

    |

  5. A uniform string resonates with a tuning fork, at a maximum tension of...

    Text Solution

    |

  6. If in a stationary wave the amplitude corresponding to antinode is 4 c...

    Text Solution

    |

  7. What is the phase difference between the displacement wave and pressur...

    Text Solution

    |

  8. A wire of length l having tension T and radius r vibrates with fundame...

    Text Solution

    |

  9. Equation of a standing wave is generally expressed as y=2Asinomegatcos...

    Text Solution

    |

  10. Two vibrating strings of same material stretched under same tension an...

    Text Solution

    |

  11. The wave-function for a certain standing wave on a string fixed at bot...

    Text Solution

    |

  12. In a standing transerse wave on a string :

    Text Solution

    |

  13. A string vibrates in 5 segments to a frequency of 480 Hz. The frequen...

    Text Solution

    |

  14. A 2.0m long string with a linear mass density of 5.2xx10^(-3) kg m^(-1...

    Text Solution

    |

  15. A wave is given by the equation y = 10 sin 2 pi (100 t - 0.02 x) + ...

    Text Solution

    |

  16. In case of closed organ pipe, which harmonin the p^(th) overtone will ...

    Text Solution

    |

  17. An organ pipe of length L is open at one end and closed at other end. ...

    Text Solution

    |

  18. The first resonance length of a resonance tube is 40 cm and the second...

    Text Solution

    |

  19. A man sitting in a moving train hears the whistle of the engine. The f...

    Text Solution

    |

  20. A whistle of frequency 500 Hz tied to the end of a string of length 1....

    Text Solution

    |