Home
Class 12
PHYSICS
The length and diameter of a metal wire...

The length and diameter of a metal wire is doubled the fundamental frequency of vibration will change from n to (tension being kept constant and material of both the wires is same)

A

n/4

B

n/8

C

n/12

D

n/16

Text Solution

Verified by Experts

The correct Answer is:
A

`n_2/n_1 = (l_1d_1)/(l_2/d_2) sqrt((T)/(rhopi)(rhopi)/(T)) = 1/2xx1/2`
`n_2 = 1/4n_1 = n/4`
Promotional Banner

Topper's Solved these Questions

  • SEMICONDUCTORS

    NIKITA PUBLICATION|Exercise MCQS|350 Videos
  • SURFACE TENSION

    NIKITA PUBLICATION|Exercise Multiple Choice Questions (Question Given in MHT-CET )|31 Videos

Similar Questions

Explore conceptually related problems

If the tension of a string is doubled, the fundamental frequency changes will be

The tension in a sonometer wire is increased to nine times. Then the fundamental frequency of the wire is

The fundamental frequency of vibration of a wire fo certain length is 200 Hz. What will be the fundamental frequency of vibration, if the tension is made double and length of the wire is also doubled ?

The length of sonometer wire is doubled and the tension is increases four times. The frequency will

Two wires of the same material and same cross section are stretched on a sonometer. One wire is loaded with 1 kg and another is loaded with 9 kg. The vibrating length of first wire is 60 cm and its fundamental frequency of vibration is the same as that of the second wire. Calculate vibrating length of the other wire.

A sonometer wire of length 1 m is stretched by a weight of 10 kg. The fundamental frequency of vibration is 100 Hz. Determine the linear density of material of wire.

Two string of same material are stretched to same tension between rigid supports. If diameter of second wire is double than that of first wire and fundamental frequency of first is equal to third harmonic of second wire, find ratio of their lengths.

If the tension and diameter of a sonometer wire of fundamental frequency n are doubled and density is halved then its fundamental frequency will become

A wire of length 2.00 m is stretched to a tension of 160 N. If the fundamental frequency of vibration is 100 Hz, find its linear mass density.

NIKITA PUBLICATION-STATIONARY WAVES -MCQs
  1. The speed of a transverse wave (v) along a stretched string is given b...

    Text Solution

    |

  2. In Melde's experiment in parallel position the mass of the pan is M(0)...

    Text Solution

    |

  3. A stationary wave incident on rigid wall. Then the distance between wa...

    Text Solution

    |

  4. The frequency of open organ pipe is

    Text Solution

    |

  5. y=3cos 100pi(2t-x), the value of lamda is

    Text Solution

    |

  6. In open organ pipe, first overtone produced is of such frequency that ...

    Text Solution

    |

  7. The tension of a stretched string is increased by 69%. In order to kee...

    Text Solution

    |

  8. Keeping the length of the pipe constant if diameter of the pipe increa...

    Text Solution

    |

  9. If the frequency of first harmonic of a closed pipe is in unison with ...

    Text Solution

    |

  10. A transverse wave is propagating along a string of length l. when stri...

    Text Solution

    |

  11. If oil of density higher than that of water is used in place of water ...

    Text Solution

    |

  12. The stirng stretched by tension T and length L vibrates in resonance w...

    Text Solution

    |

  13. n(1) is the frequency of the pipe closed at one and n(2) is the freque...

    Text Solution

    |

  14. The value of end correction for an open organ pipe of radius r is .

    Text Solution

    |

  15. The fundamental frequency of transverse vibration of a stretched strin...

    Text Solution

    |

  16. In a sonometer experiment the bridges are separted by a fixed distance...

    Text Solution

    |

  17. An open and closed organ pipe have the same length the ratio pth mode ...

    Text Solution

    |

  18. In a pipe opened at both ends n(1) and n(2) be the frequencies corres...

    Text Solution

    |

  19. The length and diameter of a metal wire is doubled the fundamental fr...

    Text Solution

    |

  20. A sonometer wire vibrates with frequency n1 in air under suitable load...

    Text Solution

    |