Home
Class 12
PHYSICS
A piano wire weighting 4 g and having a ...

A piano wire weighting `4 g` and having a length of `90.0 cm` emits a fundamental frequency corresponding to the `"Middle C" (v = 125 Hz)`. Find the tension in the wire.

Text Solution

Verified by Experts

The correct Answer is:
`225 N`

`l = 90 cm = 0.9m`
`mu = (4)/(90) gm//cm`
`= (4)/(900) Kg//m`
`f = 125`
`f = (1)/(2L) sqrt((T)/(mu))`
`125 = (1)/(2 xx 0.9) sqrt((T xx 900)/(4))`
`T = 225N`
Promotional Banner

Topper's Solved these Questions

  • WAVE ON STRING

    RESONANCE|Exercise Exercise- 3 PART II|7 Videos
  • TRAVELLING WAVES

    RESONANCE|Exercise Exercise- 3 PART II|7 Videos
  • WAVE OPTICS

    RESONANCE|Exercise Advanced Level Problems|8 Videos

Similar Questions

Explore conceptually related problems

A piano wire weighing 6.00 g and having a length of 90.0 cm emits a fundamental frequency corresponding to the "Middle C" (v = 261.63 Hz). Find the tension in the wire.

A piano wire has a length of 81 cm and a mass of 2.0 g. If its fundamental frequency is to be 394 Hz, it tension must be

The length of a stretched wire is 1 m and its fundamental frequency is 300 Hz.What is the speed of the transverse wave in the wire ?

The fundatmental frequency of a sonometer wire increases by 6 Hz if its tension is increased by 44% keeping the length constant. Find the change in the fundamental frequency of the sonometer when the length of the wire is increased by 20% keeping the original tension in the wire.

The fundatmental frequency of a sonometer wire increases by 6 Hz if its tension is increased by 44% keeping the length constant. Find the change in the fundamental frequency of the sonometer when the length of the wire is increased by 20% keeping the original tension in the wire.

Two wires of the same diameter and material have length 1.2m and 2m. They emit the same fundamental frequency. If the shorter wire is stretched by a force of 36 kg wt , then the tension of longer wire will be

Two wires of the same diameter and material have length 1.2m and 2m. They emit the same fundamental frequency. If the shorter wire is stretched by a force of 16 kg wt , then the tension of longer wire is

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.

Length of 0.3 m wire vibrates in fundamental mode at frequency 480Hz. Then the velocity of sound wave in air is

RESONANCE-WAVE ON STRING -Exercise- 3 PART I
  1. A transverse wave travelling in a string produce maximum transverse ve...

    Text Solution

    |

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

    Text Solution

    |

  3. When two progressive waves y(1) = 4 sin (2x - 6t) and y(2) = 3 sin (2x...

    Text Solution

    |

  4. A massless rod BD is suspended by two identical massless strings AB an...

    Text Solution

    |

  5. A transverse sinusoidal wave moves along a string in the positive x-di...

    Text Solution

    |

  6. A horizontal stretched string, fixed at two ends, is vibrating in its ...

    Text Solution

    |

  7. One end of a taut string of length 3m along the x-axis is fixed at x =...

    Text Solution

    |

  8. A string that is stretched between fixed supports separted by 75.0 cm ...

    Text Solution

    |

  9. A steel wire of length 50sqrt(3) cm is connected to an aluminium wire ...

    Text Solution

    |

  10. An aluminium wire of cross-sectionbal area 1 xx 10^(-6)m^(2) is joined...

    Text Solution

    |

  11. The fundatmental frequency of a sonometer wire increases by 6 Hz if it...

    Text Solution

    |

  12. A metal wire with volume density rho and young's modulus Y is stretche...

    Text Solution

    |

  13. Find velocity of wave is string A &B.

    Text Solution

    |

  14. A string of length 50 cm is vibrating with a fundamental frequency of ...

    Text Solution

    |

  15. A string fixed at both ends is vibrating in the lowest mode of vibrat...

    Text Solution

    |

  16. A guitar string is 180 cm long and has a fundamental frequency of 90 H...

    Text Solution

    |

  17. A piano wire weighting 4 g and having a length of 90.0 cm emits a fund...

    Text Solution

    |

  18. Length of a sonometer wire is 1.21 m. Find the length of the three seg...

    Text Solution

    |

  19. In the figure shown A and B are two ends of a string of length 100m. S...

    Text Solution

    |