Home
Class 12
PHYSICS
Two vibrating strings of the same materi...

Two vibrating strings of the same material but lengths L and 2L have radii 2r and r respectively. They are stretched under the same tension. Both the strings vibrate in their fundamental modes, the one of length L with frequency `n_(1)` and the other with frequency `n_(2)` the ratio `n_(1)//n_(2)` is given by

A

2

B

4

C

8

D

1

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • STATIONARY WAVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|16 Videos
  • STATIONARY WAVES

    TARGET PUBLICATION|Exercise CRITICAL THINGKING|71 Videos
  • SEMICONDUCTORS

    TARGET PUBLICATION|Exercise Evaluation Test|17 Videos
  • SURFACE TENSION

    TARGET PUBLICATION|Exercise EVALUATION TEST|21 Videos

Similar Questions

Explore conceptually related problems

Two vibrating strings of the same material but lengths L and 2L have radii 2r and r respectively. They are stretched under the same tension. Both the string vibrate in their fundamental nodes, the one of length L with freuqency v_(1) and the other with frequency v_(2). the raio v_(1)//v_(2) is given by

Two wires made from the same material have their lengths L and 2L and the radii 2r and r respectively. If they are stretched by the same force, their extensions are e_(1) and e_(2) . The ratio e_(1)/e_(2) is

Two wires of same material of length l and 2l vibrate with frequencies 100 Hz and 150 Hz respectively. The ratio of their tensions is

Two vibrating strings of same material stretched under same tension and vibrating with same frequency in the same overtone have radii 2r and r. Then the ratio of their lengths is:

Two unifrom brass rod A and B of length l and 2l and radii 2r respectively are heated to the same temperature. The ratio of the increase in the volume of A to that of B is

There are two strings of same material same diameter and length l and 2l stretched under same tension . If the strings are plucked and released, velocities of transverse waves on the two strings will be in the ratio

Two wires made up of the same material are of equal lengths but their diameter are in the ratio 1:2 . On stretching each of these two strings by the same tension , then the ratio of the fundamental frequency of these strings is

Two strings of same material are stretched to the same tension . If their radii are in the ratio 1:2 , then respective wave velocities in them will be in ratio

Two vibrating string of same length, same cross section area and stretched to same tension is made of meterials with densities rho and 2rho . Each string is fixed at both ends If v_0 represents the fundamental mode of vibration of the one made with density rho and v_2 for another Then v_1//v_2 is:

TARGET PUBLICATION-STATIONARY WAVES-COMPETITIVE THINKING
  1. A tuning fork vibrating with a sonometer having 20 cm wire produces 5 ...

    Text Solution

    |

  2. Each of the two strings of length 51.6 cm and 49.1 cm are tensioned se...

    Text Solution

    |

  3. Two vibrating strings of the same material but lengths L and 2L have r...

    Text Solution

    |

  4. Two uniform wires of a the same material are vibrating under the ...

    Text Solution

    |

  5. If the tension and diameter of a sonometer wire of fundamental frequen...

    Text Solution

    |

  6. When the length of the vibrating segment of a sonometer wire is inc...

    Text Solution

    |

  7. A 20 cm long string, having a mass of 1.0g, is fixed at both the ends....

    Text Solution

    |

  8. When a string is divided into three segments of lengths l(1),l(2) a...

    Text Solution

    |

  9. If n(1), n(2 ) "and" n(3) are the fundamental frequencies of three seg...

    Text Solution

    |

  10. The waves set up in a closed piep are

    Text Solution

    |

  11. What is distance between sucessive node and antinode when open pipe vi...

    Text Solution

    |

  12. With increases in temperature the frequency of sound in an organ pipe

    Text Solution

    |

  13. Fundamental frequency of pipe is 100 Hz and other two frequencies are ...

    Text Solution

    |

  14. A pipe closed at one end has length 83 cm. The number of possible natu...

    Text Solution

    |

  15. A pipe has a fundamental frequency 100 Hz and it second ovetone is 500...

    Text Solution

    |

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

    Text Solution

    |

  17. An air column, closed at one end and open at the other, resonates with...

    Text Solution

    |

  18. If the lengths of a closed rogan pipe is 1.5m and velocity of sound ...

    Text Solution

    |

  19. If fundamental frequency of closed pipe is 50 Hz, then frequency of 2^...

    Text Solution

    |

  20. Speed of sound is air is 340 m/s. The length of air column is 34 cm. ...

    Text Solution

    |