Home
Class 12
PHYSICS
The length of the wire shown in figure b...

The length of the wire shown in figure between the pulley is 1.5 m and its mass is 12.0 g. Find the frequency of vibration with which the wire vibrates in two loops leaving the middle point of the wire between the pulleys at rest.

Text Solution

Verified by Experts

The correct Answer is:
70.71
For two loops vibrations, its second harmonic. Its frequency is given as
`n = (2v)/(2l) = (l)/(l)sqrt((T)/(mu)) = (1)/(1.5)sqrt((90 xx1.5)/(12 xx 10^(-10)))`
= 70.71 Hz.
Promotional Banner

Topper's Solved these Questions

  • WAVES

    PHYSICS GALAXY - ASHISH ARORA|Exercise Practice Exercise 6.6|15 Videos

  • WAVES

    PHYSICS GALAXY - ASHISH ARORA|Exercise Practice Exercise 6.7|10 Videos

  • WAVES

    PHYSICS GALAXY - ASHISH ARORA|Exercise Practice Exercise 6.4|10 Videos

  • WAVE OPTICS

    PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved Numerical Problems|28 Videos

  • X-RAYS

    PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved Numerica Problem for Preparation|23 Videos

Similar Questions

Explore conceptually related problems

The length of the wire shown in figure between the pulleys is 1.5 m and its mass is 15 g. what is the frequency of vibration with which the wire vibrates in four loops leaving the middle point of the wire between the pullys at rest ? (g=10 ms^(2))

The length of the wire shown in Fig. Between the pulley and fixed support is 1.5m and mass is 12.0g the frequency of vibration with which the wire vibrate two loops leaving the middle point of the wire between the pulleys at rest is

The length of the wire shown in the figure between the pulleys is 1.5m and its mass is 12.0g. The frequency of vibration with which the wire vibrates in three loops forming antinode at the mid point of the wire is - (Take g=9.8 m//s^2 )

The length of a sonometer wire tuned to a frequency of 250 Hz is 0.60 metre . The frequency of tuning fork with which the vibrating wire will be in tune when the length is made 0.40 metre is

(i) A wire is stretched between two rigid supports. It is observed that the wire resonates at a frequency of 420 Hz. If a wooden bridge is placed at the midpoint of the wire (so that the midpoint becomes a node), it was observed that the smallest frequency at which the wire resonates is 420 Hz. Find the smallest frequency at which the wire will resonate when there is no wooden bridge. (ii) A string of length L is fixed at one end and is under tension due to a weight hanging from the other end, as shown in the figure. The point of the string on the pulley behaves as a fixed point. Coordinate axes are chosen so that the horizontal segment of the string runs from x = – L // 2 to x = L // 2 . The string is vibrating at one of its resonant frequencies with transverse displacement (y) given by y(x,t) = 0.05 cos(12.0x) sin(360t) with x, y in meter and t in second. Write two smallest possible values of L consistent with the given equation?

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 of length 1 m is stretched by a weight of 10 kg. The fundamental frequency of vibration is 100 Hz. Determine the linear density of material of wire.

A wire having a linear density of 0.05 kg/m is stretched between two rigid supports. The tension in the wire is 4.5xx10^7 dyne . If the observed that the wire resonates at a frequency of 420 Hz and the next higher frequency at which the wire resonates is 490 Hz, then the length of the wire would be

Frequency of vibration of a wire varies inversely with its length. The frequency is 220 Hz when the length of the wire is 120m. Find the frequency of the wire when its length is 100 m.

PHYSICS GALAXY - ASHISH ARORA-WAVES -Practice Exercise 6.5
  1. A steel wire of length 1 m and density 8000 kg//m^(3) is stretched ti...

    Text Solution

    |

  2. A steel wire of length 1 m and density 8000 kg//m^(3) is stretched ti...

    Text Solution

    |

  3. A steel wire of length 1 m and density 8000 kg//m^(3) is stretched ti...

    Text Solution

    |

  4. A sonometer wire having a length of 1.50 m between the bridges vibrate...

    Text Solution

    |

  5. The length of the wire shown in figure between the pulley is 1.5 m and...

    Text Solution

    |

  6. A steel wire fixed at both ends has a fundamental frequency of 200 Hz....

    Text Solution

    |

  7. Figure shows a string stretched by a block going over a pulley. The st...

    Text Solution

    |

  8. A wire of diameter 0.04 cm and made of steel of density 8000 kg//m^(3)...

    Text Solution

    |

  9. The displacement of the medium in a sound wave is given by the equatio...

    Text Solution

    |

  10. A uniform horizontal rod of length 40 cm and mass 1.2 kg is supported ...

    Text Solution

    |

  11. A 2 m-long string fixed at both ends is set into vibrations in its fir...

    Text Solution

    |

  12. A 2 m-long string fixed at both ends is set into vibrations in its fir...

    Text Solution

    |

  13. Three resonant frequencies of a string are 90, 150 and 210 Hz. (a) Fin...

    Text Solution

    |

  14. Three resonant frequencies of a string are 90, 150 and 210 Hz. (a) Fin...

    Text Solution

    |

  15. Three resonant frequencies of a string are 90, 150 and 210 Hz. (a) Fin...

    Text Solution

    |

  16. Three resonant frequencies of a string are 90, 150 and 210 Hz. (a) Fin...

    Text Solution

    |