Home
Class 11
PHYSICS
Four wires of identical lengths, diamete...

Four wires of identical lengths, diameters and materials are stretched on a sonometer box. The ratio of their tension `1:4:9:16`. The ratio of their fundamental frequencies is

A

16 : 9 : 4 : 1

B

4 : 3 : 2 : 1

C

1 : 4 : 2 : 16

D

1 : 2 : 3 : 4

Text Solution

Verified by Experts

The correct Answer is:
D
Since, `fpropsqrt(T)`
`therefore| f_(1):f_(2):f_(3):f_(4)=sqrt(1):sqrt(4):sqrt(9):sqrt(16)`
`=1:2:3:4`.
Promotional Banner

Topper's Solved these Questions

  • WAVES AND SOUND

    ERRORLESS|Exercise NCERT BASED QUESTIONS (ORGAN PIPE (VIBRATION OF AIR COLUMN)) |16 Videos

  • WAVES AND SOUND

    ERRORLESS|Exercise NCERT BASED QUESTIONS (DOPPLER.S EFFECT) |34 Videos

  • WAVES AND SOUND

    ERRORLESS|Exercise NCERT BASED QUESTIONS (STATIONARY WAVES)|10 Videos

  • UNITS, DIMENSIONS AND MEASUREMENT

    ERRORLESS|Exercise ASSERTION & REASON |17 Videos

  • WORK, ENERGY POWER AND COLLISION

    ERRORLESS|Exercise ASSERTION & REASON |22 Videos

Similar Questions

Explore conceptually related problems

Three wires of identical lengths. Diameters and material are streched on a sonometer box. If their tensions are in the ratio of 1:9:16 . Then their fundamental frequency will be

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

A sonometer consists of two wire of length , same material whose radii are in the ratio 2:3 . The ratio of tension in two wire if their fundamental freqencies are equal is

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

Two wires having same length and material are stretched by same force. Their diameters are in the ratio 1:3. The ratio of strain energy per unit volume for these two wires (smaller to larger diameter) when stretched is

Two wire of the same material and length stretched by the same force. If the ratio of the radii of the two wires is n : 1 then the ratio of their elongations is

A uniform wire of length L , diameter D and density rho is stretched under a tension T . The correct relation between its fundamental frequency f , the length L and the diameter D is

ERRORLESS-WAVES AND SOUND -NCERT BASED QUESTIONS (VIBRATION OF STRING)
  1. In Melde’s experiment in the transverse mode, the frequency of the tun...

    Text Solution

    |

  2. The velocity of waves in a string fixed at both ends is 2 m / s . The ...

    Text Solution

    |

  3. Four wires of identical lengths, diameters and materials are stretched...

    Text Solution

    |

  4. A stretched string of length l, fixed at both ends can sustain station...

    Text Solution

    |

  5. If you set up the ninth harmonic on a string fixed at both ends, its f...

    Text Solution

    |

  6. A string of 7 m length has a mass of 0.035 kg. If tension in the strin...

    Text Solution

    |

  7. If the length of a stretched string is shortened by 40 % and the tensi...

    Text Solution

    |

  8. In a sonometer wire, the tension is maintained by suspending a 50.7 kg...

    Text Solution

    |

  9. The correct graph between the frequency n and square root of density r...

    Text Solution

    |

  10. A tuning fork vibrating with a sonometer having 20 cm wire produces 5 ...

    Text Solution

    |

  11. Two uniform strings A and B made of steel are made to vibrate under th...

    Text Solution

    |

  12. Two wires are fixed in a sanometer. Their tension are in the ratio 8:1...

    Text Solution

    |

  13. Three similar wires of frequency n(1),n(2) and n(3) are joined to make...

    Text Solution

    |

  14. A steel rod 100 cm long is clamped at its middle. The fundamental freq...

    Text Solution

    |

  15. A string is stretched between fixed points separated by 75.0cm. It is ...

    Text Solution

    |

  16. The speed of a wave on a string is 150 "ms"^(-1) when the tension is...

    Text Solution

    |

  17. A string is hanging from a rigid support. A transverse pulse is exci...

    Text Solution

    |

  18. Two identical piano wires have fundemental frequency of 600 vib//sec, ...

    Text Solution

    |

  19. A sonometer wire supports a 4 kg load and vibrates in fundamental mode...

    Text Solution

    |

  20. A string of mass 2.50kg is under a tension os 200N. The length of the ...

    Text Solution

    |