Home
Class 11
PHYSICS
A metal wire of linear mass density of 9...

A metal wire of linear mass density of `9.8g//m` is stretched with a tension of `10 kg-wt` between two rigid support `1meter` apart. The wire passes at its middle point between the poles of a permanent magnet, and it vibrates in resonance when carrying an alternating current of frequency `n`. the frequency `n` of the alternating source is

A

50 Hz

B

100 Hz

C

200 Hz

D

25 Hz

Text Solution

Verified by Experts

The correct Answer is:
A
At resonance, frequency of ac source
= fundamental frequency of vibration of wire
`therefore upsilon=(1)/(2L)sqrt((T)/(mu))=(1)/(2xx1)sqrt((10xx9.8)/(9.8xx10^(-3)))=(1)/(2)xx10^(2)=50Hz`
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS AND WAVES

    MTG GUIDE|Exercise CHECK YOUR NEET VITALS|25 Videos

  • OSCILLATIONS AND WAVES

    MTG GUIDE|Exercise AIPMT / NEET MCQs|43 Videos

  • OSCILLATIONS AND WAVES

    MTG GUIDE|Exercise AIPMT / NEET MCQs|43 Videos

  • MOTION OF SYSTEM OF PARTICLES AND RIGID BODY

    MTG GUIDE|Exercise AIPMT / NEET (MCQs)|37 Videos

  • PHYSICAL WORLD AND MEASUREMENT

    MTG GUIDE|Exercise AIPMT / NEET MCQ|14 Videos

Similar Questions

Explore conceptually related problems

A metal wire of linear mass density 10^(-1) is stretched with a tension of 100 N weight between two rigid supports 1 metre apart. The wire passes at its middle point between the poles of a permanent magnet, and it vibrates in resonance when carrying an alternating current of frequency n. The frequency n of the alternating source is :

A wire having a linear mass density 5.0xx10^(03) kg m^(-1) is stretched between two rigid supportes with a tension of 450 N. The wire resonates at which the same wire resontes is 490 Hz. Find the length of the wire.

A string of linear mass density 5.0 xx 10^-3 kg//m is stretched under a tension of 65 N between two rigid supports 60 cm apart. (a) If the string is vibrating in its second overtone so that the amplitude at one of its antinodes is 0.25 cm, what are the maximum transverse speed and acceleration of the string at antinodes? (b) What are these quantities at a distance 5.0 cm from an node?

A wire having a linear mass density 5xx10^(-3) kg/m is stretched between two rigid supports with a tension of 450 N. The wire resibate at a frequency of 420 Hz. The next higher frequency at which the same wire resonates is 490 Hz. Find the length of wire -

Awire having a linear mass density of 5.0xx10^(-3)kgm^(-1) is stretched between two rigid supports with a tension of 45N. The wire resonates at a frequency of 420Hz. The next higher frequency at which the wire resonates is 490Hz. Find the length of the wire.

A steel wire 0.5 m long has a total mass of 0.02 kg and is stretched with a tension of 800N . The frequency when it vibrates in its fundamental mode is

A wire having a linear mass density 9.0 xx 10^(-4) kg/m is stretched between two rigid supports with a tension of 900 N. The wire resonates at a frequency of 500 Hz. The next higher frequency at which the same wire resonates is 550 Hz. The length of the wire is______m.

A wire having a linear mass density 5.0xx10^(3) kg//m is stretched between two rigid supports with tension of 450 N. The wire resonates at a frequency of 420 Hz . The next higher frequency at which the same wire resonates is 480 N . The length of the wire is

A wire of linear mass density 9x10^(-3) kg/m is stretched between two rigid supports under a tension of 360 N. The wire resonates at frequency 210 Hz. The next higher frequency at which the same wire resonates is 280 Hz. The number of loops produced in first case will be-

A wire having a linear mass density 5.0 xx 10^(-3) kg/m is stretched between two rigid supports with a tension of 450 N. The wire resonates at a frequency of 420 Hz. The next higher frequency at which the same wire resonates is 480 Hz. Find the length of the wire.

MTG GUIDE-OSCILLATIONS AND WAVES -NEET CAFÉ TOPICWISE PRACTICE QUESTIONS
  1. The fundamental frequency of an open organ pipe is 300Hz. The first ov...

    Text Solution

    |

  2. An organ pipe open at one end is vibrating in first overtone and is in...

    Text Solution

    |

  3. A metal wire of linear mass density of 9.8g//m is stretched with a ten...

    Text Solution

    |

  4. A tuning fork of frequency 340 Hz is vibrated just above the tube of 1...

    Text Solution

    |

  5. The third overtone of an open organ pipe of length l(0) has the same f...

    Text Solution

    |

  6. A pipe of lengh 1m is closed at one end. The velocity sound in air is ...

    Text Solution

    |

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

    Text Solution

    |

  8. Tube A has both ends open while tube B has one closed, otherwise they ...

    Text Solution

    |

  9. An open pipe is suddenly closed at one end with the result that the fr...

    Text Solution

    |

  10. String A has a length L, radius of cross-section r, density of materia...

    Text Solution

    |

  11. Two pipes are each 50 cm in length. One of them is closed at one end w...

    Text Solution

    |

  12. In a sonometer wire, the tension is maintained by suspending a 50.7 kg...

    Text Solution

    |

  13. A wire of density 9 xx 10^(3) kg//m^(3) is stretched between two clamp...

    Text Solution

    |

  14. The transverse displacement of a string fixed at both ends is given by...

    Text Solution

    |

  15. A string that is stretched between fixed supports separated by 75.0 cm...

    Text Solution

    |

  16. A resonance pipe is open at both ends and 30 cm of its length is in re...

    Text Solution

    |

  17. Two open organ pipes of fundamental frequencies n(1) and n(2) are join...

    Text Solution

    |

  18. If lambda(1), lamda(2)and lamda(3) are the wavelengths of the wave giv...

    Text Solution

    |

  19. A string of density 7.5 gcm^(-3) and area of cross - section 0.2mm^(2)...

    Text Solution

    |

  20. A wire stretched between two rigid supports vibrates in its fundamenta...

    Text Solution

    |