Home
Class 12
PHYSICS
Two wires of the same material and same ...

Two wires of the same material and same cross sectional area are vibrating with the same frequency. The first wire of length 80 cm is loaded with 8 kg and the second wire is loaded with 2 kg. The length of the second wire is

A

`40 cm`

B

` 80 cm `

C

` 70 cm `

D

` 60 cm `

Text Solution

Verified by Experts

The correct Answer is:
A
`n_(1) = n_(2) :. L_(2)/L_(1) = sqrt(T_(2)/T_(1))`
` :. L_(2) = L_(1) sqrt(T_(2)/T_(1)) = 80 sqrt(2/8) = 40 ` cm.
Promotional Banner

Topper's Solved these Questions

  • STATIONARY WAVES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (HIGHER LEVEL)|75 Videos

  • STATIONARY WAVES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (STANDARD LEVEL )|75 Videos

  • STATIONARY WAVES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (HIGHER LEVEL )|7 Videos

  • SEMICONDUCTORS

    MARVEL PUBLICATION|Exercise MCQs|261 Videos

  • SURFACE TENSION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS . (TEST YOUR GRASP )|10 Videos

Similar Questions

Explore conceptually related problems

Two wires of the same material and same cross section are stretched on a sonometer. One wire is loaded with 1 kg and another is loaded with 9 kg. The vibrating length of first wire is 60 cm and its fundamental frequency of vibration is the same as that of the second wire. Calculate vibrating length of the other wire.

Two uniform wires of a the same material are vibrating under the same tension. If the first overtone of the first wire is equal to the second overtone of the second wire and radius of the first wire is twice the radius of the second wire, then the ratio of the lengths of the first wire to second wire is

Two strings of the same material and the same area of cross-section are used in an wxperiment. One is loaded with 12 kg and the other with 3 kg The fundamental fequency of the first string is equal to the first overtone of the second string. If the length of the second string is 100 cm, then the length of the first string is

Two wires of same material and area of cross section but with lengths in the ratio 5:3 are strechted by the same force. The ratio of work done in two cases is

Two wires of same material and length have the radii of their cross sections as r and 2r, respectively. The ratio of their resistances

Two wires are of the same material but of different lengths and areas of cross-section. Will their resistivities be same or different ?

Two wires A and B of the same material and having same length, have their cross-sectional areas in the ratio 1:4 . what should be the ratio of heat produced in these wires when same voltage is applied across each ?

MARVEL PUBLICATION-STATIONARY WAVES-MULTIPLE CHOICE QUESTIONS ( STANDARD LEVEL )
  1. If the vibrating length of a string is increased by 25%, then its fund...

    Text Solution

    |

  2. The length of a sonometer wire between two fixed ends is 110cm. Where ...

    Text Solution

    |

  3. Two wires of the same material and same cross sectional area are vibra...

    Text Solution

    |

  4. The fundamental frequency of a sonometer wire is 100 Hz. If a weigth o...

    Text Solution

    |

  5. A string of length L between the two bridges of sonometer wire vibrate...

    Text Solution

    |

  6. A tuning fork of frequency 400 Hz, produces 10 beats/ sec, when sounde...

    Text Solution

    |

  7. A pulse of a wave train travels along a stretched string and reaches t...

    Text Solution

    |

  8. If you set up the seventh harmonic on a string fixed at both ends, how...

    Text Solution

    |

  9. The fundamental frequency of a sonometer wire is 200 Hz. It is found...

    Text Solution

    |

  10. A sonometer wire is in unison with a tuning fork . When its length inc...

    Text Solution

    |

  11. A string is kept stretched under a tension T, the velocity of transve...

    Text Solution

    |

  12. A stretched string is vibrating in the second overtone, then the num...

    Text Solution

    |

  13. Stationary waves are produced in 10 m long stretched string. If the st...

    Text Solution

    |

  14. A tuning fork produces 4 beats /sec, with a sonometer wire of length 4...

    Text Solution

    |

  15. A sonometer wire is resonating with a tuning fork of frequency N. If i...

    Text Solution

    |

  16. A wire of mass 5 gram is kept stretched by a force of 400 N. When pluc...

    Text Solution

    |

  17. If the weight attached to the sonometer wire is increased from 2 kg wt...

    Text Solution

    |

  18. Two travelling waves y1=Asin[k(x-ct)] and y2=Asin[k(x+ct)] are superim...

    Text Solution

    |

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

    Text Solution

    |

  20. Standing waves are produced on a string of length 2 m and of linear ma...

    Text Solution

    |