Home
Class 12
PHYSICS
A guitar string is 100 cm long and has a...

A guitar string is 100 cm long and has a fundamental frequency of 125 Hz. Where should it be pressed to produce a fundamental frequency of 200 Hz.

A

`60.3` cm

B

`62.5` cm

C

`65.3` cm

D

`69.8` cm

Text Solution

Verified by Experts

The correct Answer is:
b
Fundamental frequency of a string fixed at both end is
`v=1/(2L)sqrt(T/mu)`
As T and `mu` arte fixed, `v_(1)/v_(2)=L_(2)/L_(1) rArr L_(2)=v_(1)/v_(2)L_(1)`
`rArr" L"_(2)=(125"Hz")/(200"Hz") xx 100 =125/2 = 62.5` cm
Promotional Banner

Topper's Solved these Questions

  • STATIONARY WAVES

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise EXERCISE 1|63 Videos

  • STATIONARY WAVES

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise EXERCISE 2|27 Videos

  • SEMICONDUCTORS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|25 Videos

  • SURFACE TENSION

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|15 Videos

Similar Questions

Explore conceptually related problems

A guitar string is 180 cm long and has a fundamental frequency of 90 Hz . Where should it be pressed to produce a fundamental frequency of 135 Hz ?

A guitar string is 90 cm long and has a fundamental frequency of 124 Hz. Where should it be pressed to produce a fundamatal frequecy of 186 Hz?

The length of string of a musical instrument is 90 cm and has fundamental frequency of 120 Hz where should it be pressed to produce fundamental frequency of 180 Hz

A guitar string of length L has a fundamental frequency. Where should it be pressed to produced another fundamental frequency. If the two fundamental frequenccis is f?

A string of length 105 cm produces fundamental frequency of 142 Hz. How much should its length be reduced to produce a fundamental frequency of 213 Hz.

A tube, open at only one end, is cut into two shorter (non equal) lengths. The piece that is open at both ends has a fundamental frequency of 425 Hz, while the piece open only at one end has a fundamental frequency of 675 Hz. What is the fundamental frequency of the original tube?

A middle C string on a piano has a fundamental frequency of 262 Hz , and the A note has fundamental frequency of 440 Hz . (a) Calculate the frequencies of the next two harmonics of the C string. (b) If the strings for the A and C notes are assumed to have the same mass per unit length and the same length, determine the ratio of tension in the two strings.

A stretched wire 60cm long emits a fundamental frequency of 240 Hz. By how much the length should be shortened so that it emits a fundamental note of 360 Hz?

A stretched wire 60cm long emits a fundamental frequency of 240 Hz. By how much the length should be shortened so that it emits a fundamental note of 360 Hz?

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-STATIONARY WAVES -MHT CET Corner
  1. A guitar string is 100 cm long and has a fundamental frequency of 125 ...

    Text Solution

    |

  2. Two strings A and B made of same material are stretched by same tensio...

    Text Solution

    |

  3. If the end correction of an open pipe is 0.8 cm, then the inner radius...

    Text Solution

    |

  4. Wire having tension 225 N produces six beats per second when it is tun...

    Text Solution

    |

  5. When open pipe is closed from one end, then third overtone of closed p...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. If we study the vibration of a pipe open at both ends, then the follow...

    Text Solution

    |

  11. For the stationary wave y=4sin((pix)/(15))cos(96pit), the distance bet...

    Text Solution

    |

  12. If the temperature increases, then what happens to the frequency of th...

    Text Solution

    |

  13. In a resonance tube the first resonance with a tuning fork occurs at 1...

    Text Solution

    |

  14. In the fundamental mode , time taken by the wave to reach the closed e...

    Text Solution

    |

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

    Text Solution

    |

  16. Two Cu wires of radii R(1) and R(2) are such that (R(1) gt R(2)) . The...

    Text Solution

    |

  17. In a resonance pipe the first and second resonance are obtained at dep...

    Text Solution

    |

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

    Text Solution

    |

  19. If a source emitting waves of frequency f moves towards an observer wi...

    Text Solution

    |

  20. A standing wave having 3 nodes and 2 antinodes is formed between two a...

    Text Solution

    |

  21. A note has a frequency 128 Hz. The frequency of a note two octaves hig...

    Text Solution

    |