Home
Class 11
PHYSICS
What is the percentage change in the ten...

What is the percentage change in the tension necessary in a somometer of fixed length to produce a note one octave lower (half of original frequency) than before?

A

`25%`

B

`50%`

C

`67%`

D

`75%`

Text Solution

Verified by Experts

The correct Answer is:
D
In a sonometer ,
` f prop sqrt(T)`
Thus , `(f_(1))/(f_(2)) = 2 = sqrt((T_(1))/(T_(2)))`
`T_(2) = (T_(1))/(4)`
So percentage change will be
`(T_(1) - T_(2))/(T_(1)) xx 100 = (T_(1) - (T_(1))/(4))/(T_(1)) xx 100 = 75%`
Promotional Banner

Topper's Solved these Questions

  • SUPERPOSITION AND STANDING WAVES

    CENGAGE PHYSICS|Exercise Multiple|26 Videos

  • SUPERPOSITION AND STANDING WAVES

    CENGAGE PHYSICS|Exercise Assertion - Reasoning|6 Videos

  • SUPERPOSITION AND STANDING WAVES

    CENGAGE PHYSICS|Exercise Subjective|24 Videos

  • SOUND WAVES AND DOPPLER EFFECT

    CENGAGE PHYSICS|Exercise Integer|16 Videos

  • THERMODYNAMICS

    CENGAGE PHYSICS|Exercise 24|1 Videos

Similar Questions

Explore conceptually related problems

The frequency of transverse vibration on a stretched string is 150 Hz. If the tension is increases four times and length is reduced to one fourth of its original value, the frequency of vibration will be

The tension of a piano wire is 16 Kg weight. What must be the change in tension so as to produce a tone an octave lower :

What will be the change in resistance of a constantan wire when its radius is made half and length reduced to one-fourth of its original length ?

The frequency of transverse vibrations in a stretched string is 200 Hz . If the tension is increased four times and the length is reduced to one-fourth the original value, the frequency of vibration will be

A metal having a threshold frequency of v_0//2 is illuminated by the incident radiation of frequency 2v_0 . If the energy of the incident photon is increased by 40 percent , then what will be the percentage change in the kinetic energy of the photoelectrons emitted from the surface of the metal ? Note that increase in energy of photon is done by suitably changing frequency of radiation.

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.

A potential differnce of 250 volts is applied across a resistance of 1000 Omega in an electric iron. Find (1) the current (2) the heat produced in joule in 12 seconds. keeping other conditions the same , if the length of the wire in the iron is reduced to half the original length (by cutting the wire ), what will be the current and heat produced ?

Two identical wires are put under same tension and have same frequency of vibration. When tension in one of the wire is increased by 2%, then 6 beats/sec can be heard. What will be the original frequency of the wires ?

Two sitar strings A and B playing the note 'Ga' are slightly out of tune and produce beats of frequency 6 Hz. The tension in the string A is slightly reduced and the beat frequency is found to reduce to 3 Hz. If the original frequency of A is 324 Hz, what is the frequency of B?

CENGAGE PHYSICS-SUPERPOSITION AND STANDING WAVES-Single Correct
  1. A 75 cm string fixed at both ends produces resonant frequencies 384 Hz...

    Text Solution

    |

  2. A string of length 'l' is fixed at both ends. It is vibrating in its 3...

    Text Solution

    |

  3. What is the percentage change in the tension necessary in a somometer ...

    Text Solution

    |

  4. A chord attached about an end to a vibrating fork divides it into 6 lo...

    Text Solution

    |

  5. A closed organ pipe has length L. The air in it is vibrating in thirf ...

    Text Solution

    |

  6. When a sound wave is reflected from a wall the phase difference betwee...

    Text Solution

    |

  7. A point source is emitting sound in all directions. The ratio of dista...

    Text Solution

    |

  8. The frequency of a man's voice is 300 Hz and its wavelength is 1 meter...

    Text Solution

    |

  9. A sound wave of frequency 440 Hz is passing through in air. An O(2) mo...

    Text Solution

    |

  10. S(1) and S(2) are two coherent sources of sound having no intial phase...

    Text Solution

    |

  11. Under similar conditions of temperature and pressure, in which of the ...

    Text Solution

    |

  12. When beats are produced by two progressive waves of nearly the same fr...

    Text Solution

    |

  13. There is a set of four tuning forks , one with the lowest frequency vi...

    Text Solution

    |

  14. A 100 - m long rod of density 10.0 xx 10^(4) kg//m^(3) and having Youn...

    Text Solution

    |

  15. Figure 7.88 shows a stretched string of length L and pipes of length L...

    Text Solution

    |

  16. Equations of a stationary and a travelling waves are as follows y(1) =...

    Text Solution

    |

  17. In the resonance tube experiment , the first resonance is heard when l...

    Text Solution

    |

  18. Microwaves from a transmitter are directed normally toward a plane ref...

    Text Solution

    |

  19. A man standing in front of a mountain beats a drum at regular interval...

    Text Solution

    |

  20. Let the two waves y(1) = A sin ( kx - omega t) and y(2) = A sin ( kx +...

    Text Solution

    |