Home
Class 12
PHYSICS
A sonometer wire resonates with a given ...

A sonometer wire resonates with a given tuning fork forming a standing wave with five antinodes between the two bridges when a mass of `9 kg` is suspended from the wire. When this mass is replaced by a mass 'M' kg, the wire resonates with the same tuning fork forming three antinodes for the same positions of the bridges. Find the value of `M`.

A

25kg

B

5kg

C

12.5kg

D

1/25kg

Text Solution

Verified by Experts

The correct Answer is:
A
`n_1/n_2 = (P_1sqrtT_1)/(P_2sqrtT_2)`
`n_1=n_2`
`therefore P_1 sqrtT_1 = P_2 sqrtT_2`
`5sqrt9=3sqrtT_2`
`25xx9 = 9T_2`
`T_2 = 25 kg`
Promotional Banner

Topper's Solved these Questions

  • SEMICONDUCTORS

    NIKITA PUBLICATION|Exercise MCQS|350 Videos

  • SURFACE TENSION

    NIKITA PUBLICATION|Exercise Multiple Choice Questions (Question Given in MHT-CET )|31 Videos

Similar Questions

Explore conceptually related problems

A sonometer wire resonates with a given tuning fork forming standing waves with five antitodes between the two bridges when a mass of 9kg is suspended from the wire. when this same tuning fork forming three antitodes for the same positions of the bridges. the value of M is

A sonometer wire resonates with a given tuning fork forming 5 antinodes when a mass of 9 kg is suspended from the wire . When this resonates with the same tuning fork forming three antinodes for the same positions of the bridges . The value of M is

A sonometer wire resonates with a tuning fork. If the length of the wire between the bridges is made twice even then it can resonate with the same tuning fork. How ?

A sonometer wire is in tnison with a tuning fork of frequency 256 Hz, when the lenghts of the wire between the bridges is 75 cm and only one loop is formed. By keeping the lengths and tension constant, the wire is made to vibrate with 2 loops. The wire can still be in resonance with a tuning fork, provided the freqency of the tuning fork is

A sonometer wire is in unison with a tuning fork . When its length increases by 4% , it gives 8 beats/with the same fork. What is the frequency of the fork ?

A sonometer wire vibrating in its fundamental mode, is in unison with a tuning fork when the length of the wire between the bridges is 25 cm. By keeping the same tension , the length between the bridges is increased to 75 cm. The tuning fork can still be in resonance with the vibrating wire , provided the wire vibrates with

A sonometer wire is in unison with a tuning fork.When its lengths increases by 4%, it gives 8 beats per secon with the same the fork. The frequency of the fork is

A wire is under a tension of 32N and length between the two bridges in 1m. If the length of the sample wire is 10m and its mass is 2 g, then the fundamental frequency of the wire will be

NIKITA PUBLICATION-STATIONARY WAVES -MCQs
  1. The velocity of transverse wave in a stretched string is proportional ...

    Text Solution

    |

  2. A stretched wire 60cm long emits a fundamental frequency of 240 Hz. B...

    Text Solution

    |

  3. A sonometer wire resonates with a given tuning fork forming a standing...

    Text Solution

    |

  4. In an experiment with sonometer, a tuning fork of frequency 256 Hz res...

    Text Solution

    |

  5. The tension of a stretched string is increased by 69%. In order to kee...

    Text Solution

    |

  6. A copper wire is held at two ends by rigid supports. At 40^@C, the wir...

    Text Solution

    |

  7. Two different wire A and B of same cross sectional area are joined to ...

    Text Solution

    |

  8. The linear density of a vibrating string is 2xx10^(-4) kg/m. A transve...

    Text Solution

    |

  9. In brass the velocity of longitudinal wave is 100 times the velocity o...

    Text Solution

    |

  10. A metal wire is held at the two ends of rigid supports at 20^@C, the w...

    Text Solution

    |

  11. A string of length 10.0 m and mass 1.25kg stretched with a tension of ...

    Text Solution

    |

  12. A wire 214 cm long is to be divided into three segments which produce ...

    Text Solution

    |

  13. A somometer wire produces 2 beats per second with a tuning fork, when ...

    Text Solution

    |

  14. A sonometer wire is stretched by a hanging metal bob. Its fundamental ...

    Text Solution

    |

  15. A sonometer is set on the floor of a lift. When the lift is at rest, t...

    Text Solution

    |

  16. A fork gives 5 beats with a 40cm length of sonometer wire. If the leng...

    Text Solution

    |

  17. Two identical wires have a fundamental frequency of 100Hz, when kept u...

    Text Solution

    |

  18. A given length of sonometer wire is in resonance with a tuning fork. I...

    Text Solution

    |

  19. The fundamental frequency of a sonometer wire increases by 5Hz, if the...

    Text Solution

    |

  20. Length of a sonometer wire is either 95 cm or 100 cm. In both the case...

    Text Solution

    |