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 string vibrate in their fundamental nodes, the one of length `L` with freuqency `v_(1)` and the other with frequency `v_(2)`. the ratio `v_(1)//v_(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

  • ELASTICITY AND WAVES

    FIITJEE|Exercise Assignment Problems (Objective) Level-II|15 Videos
  • ELASTICITY AND WAVES

    FIITJEE|Exercise Assignment Problems (Subjective) Level-II & III|15 Videos
  • CURRENT ELECTRICITY

    FIITJEE|Exercise Comprehension -4|3 Videos
  • ELECTROMAGNETIC INDUCTION

    FIITJEE|Exercise EXERCISE|9 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 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

Two wires of same material and same length have radii r_1 and r_2 respectively. Compare their resistances.

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 copper wire of length l and 2l have radii, r and 2r respectively. What si the ratio of their specific resistance.?

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 uniform brass rods A and B of lengths l and 2l and radii 2r and r respectively are heated to the same temperature. The ratio of the increase in the length of A to that of B is :

FIITJEE-ELASTICITY AND WAVES -Assignment Problems (Objective) Level-I
  1. A wire of length l having tension T and radius r vibrates with fundame...

    Text Solution

    |

  2. A string of length 0.4 m and mass 10^(-2)kg is tightly clamped at its ...

    Text Solution

    |

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

    Text Solution

    |

  4. A string is hanging from a rigid support. A transverse wave pulse is s...

    Text Solution

    |

  5. Standing waves can be produced in

    Text Solution

    |

  6. At t = 0 source starts falling under gravity and a detector is project...

    Text Solution

    |

  7. Two particles in a medium are vibrating with a path difference of 10 m...

    Text Solution

    |

  8. y(1)=Asin(omegat-kx)&y(2)=Asin(omegat-kx+delta): these two equations a...

    Text Solution

    |

  9. A wave is represented by the equation y=[Asin{10pix+15pit+(pi//4)}] wh...

    Text Solution

    |

  10. The ends of a stretched wire of length L are fixed at x = 0 and x = L....

    Text Solution

    |

  11. A cylinderical tube open at both ends, has a fundamental frequency f i...

    Text Solution

    |

  12. Two wires of same material and same extension Deltal have lengths l an...

    Text Solution

    |

  13. A steel ring of radius r and cross section area A is fitted on to a wo...

    Text Solution

    |

  14. The Young's modulus of a wire of length L and radius r is Y newton/m^(...

    Text Solution

    |

  15. A spherical ball contracts in volume by 0.01% when subjected to a norm...

    Text Solution

    |

  16. If a gas is heated at constant pressure, its isothermal compressibilit...

    Text Solution

    |

  17. A beam of metal supported at the two edges is loaded at the centre. Th...

    Text Solution

    |

  18. When metal wire is stretched by a load the fectional change in its vol...

    Text Solution

    |

  19. The length of a metal wire is l(1) when the tension in it is T(1) and ...

    Text Solution

    |

  20. A uniform pressure P is exerted on all sides of a solid cube at temper...

    Text Solution

    |