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

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.

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?

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 ?

(a) A steel wire of mass u per unit length with a circular cross section has a radius of 0.1 cm. The wire is of length 10 m when measured lying horizontal and hangs from a hook on the wall. A mass of 25 kg is hung from the free end of the wire. Assuming the wire to be uniform an lateral strains lt lt longitudinal strains find the extension in the length of the wire. The density of steel is 7860 kgm ^(-3) and Young's modulus =2 xx 10 ^(11) Nm ^(-2) (b) If the yield strength of steel is 2.5 xx 10 ^(8) Nm ^(-2), what is the maximum weight that can be hung at the lower end of the wire ?

Two closed organ pipes of length 100 cm and 101 cm produce 16 beats in 20 sec. When each pipe is sounded in its fundamental mode calculate the velocity of sound in 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 thin uniform metallic rod of length 0.5 m and radius 0.1 m rotates with an angular velocity 400rad/s is a horizontal plane about a vertical axis passing through one of its ends. Calculate (a) tenstion in the rod and (b) the elogation of te rod. The density of material of the rod is 10^(4)kg//m^(3) and the young's modulus is 2xx10^(11)N//m^(2)

A sonometer wire of length 1.5m is made of steel. The tension in it produces an elastic strain of 1% . What is the fundamental frequency of steel if density and elasticity of steel are 7.7 xx 10^(3) kg//m^(3) and 2.2 xx 10^(11) N//m^(2) respectively ?

A metallic rod of length 1m has one end free and other end rigidly clamped. Longitudinal stationary waves are set up in the rod in such a way that there are total six antinodes present along the rod. The amplitude of an antinode is 4 xx 10^(-6) m . young's modulus and density of the rod are 6.4 xx 10^(10) N//m^(2) and 4 xx 10^(3) Kg//m^(3) respectively. Consider the free end to be at origin and at t=0 particles at free end are at positive extreme. The equation describing stress developed in the rod is

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 string vibrates in 5 segments to a frequency of 300 Hz. The frequen...

    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 string vibrates in 5 segments to a frequency of 180 Hz. The frequen...

    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

    |