Home
Class 11
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:
70Hz
`L=1.5m, mass=12gm`
Mass per unit length
`m=12/15g/m`
`=8xx10^-3(kg)/m`
`T=9xxg`
`=90N,lamda=1.5m`
`f_1=2/(2L)sqrt((T/m))`
[for second harmonic two loops are produced]
`f_1=2f_0=1/1.5 sqrt((90/8xx10^-3))`
=`((1.6.06))/(1.5)`
`=70.7Hz~~70Hz`
Promotional Banner

Topper's Solved these Questions

  • WAVE MOTION AND WAVES ON A STRING

    HC VERMA ENGLISH|Exercise Question for short Answer|7 Videos

  • WAVE MOTION AND WAVES ON A STRING

    HC VERMA ENGLISH|Exercise Objective -2|9 Videos

  • THE FORCES

    HC VERMA ENGLISH|Exercise Questions for short Answer|9 Videos

  • WORK AND ENERGY

    HC VERMA ENGLISH|Exercise Question for Short Answer|16 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 a sonometer wire tuned to a frequency of 256 Hz is 0.6 m. Calculate the frequency of the tuning fork with which the vibrating wire will be in tune when the length is made 0.4 m

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

The length of a stretched wire is 1 m and its fundamental frequency is 300 Hz.What is the speed of the transverse wave in the wire ?

An aluminium wire of cross-sectional area (10^-6)m^2 is joined to a steel wire of the same cross-sectional area. This compound wire is stretched on a sonometer pulled by a weight of 10kg. The total length of the compound wire between the bridges is 1.5m of which the aluminium wire is 0.6 m and the rest is steel wire. Transverse vibrations are setup in the wire by using an external source of variable frequency. Find the lowest frequency of excitation for which the standing waves are formed such that the joint in the wire is a node. What is the total number of nodes at this frequency? The density of aluminium is 2.6 xx (10^3) kg//m^3 and that of steel is 1.04 xx 10^(4) kg//m^2 (g = 10m//s^2)

If the wire is gently tapped in vertical direction halfway between the pulleys, what is the lowest frequency at which it will vibrate transversely? The mass per unit length of the eire is 0.02 kg/m and it has a length of 0.2 m between pulleys. Volume of block is 1/200 m^3 and its mass is 10kg .

Two wires are together end to end . The wires are made of the same material , but the diameter of one is twice that of the other . They are subjected to a tension of 4.60 N . The thin wire has a length of 40.0 cm and a linear mass density of 2.00 g//m . The combination is fixed at both ends and vibrated in such a way that two antinodes are present , with the node between them being precisely at the weld . (a) What is the frequency of vibration ? (b) Find the length of the thick wire .

A tube 1.0 m long is closed at one end. A stretched wire is placed near the open end. The wire is 0.3 m long and a mass of 0.01 kg . It is held fixed at both ends and vibrates in its fundamental mode. It sets the air column in the tube into vibration at its fundamental frequency by resonance. Find (a) the frequency of oscillation of the air column and (b) the tension in the wire. Speed of sound in air = 330 m//s .

The total length of a sonometer wire fixed between two bridges is 110 cm. Now, two more bridges are placed to divide the length of the wire in the ratio 6:3:2 . If the tension in the wire is 400 N and the mass per unit length of the wire is "0.01 kg m"^(-1) , then the minimum common frequency with which all the three parts can vibrate, is

A uniform wire of length I and mass M is stretched between two fixed points, keeping a tension F. A sound of frequency mu is impressed on it. Then the maximum vibrational energy is existing in the wire when mu

HC VERMA ENGLISH-WAVE MOTION AND WAVES ON A STRING-Exercises
  1. A piano wire weighing 6.00 g and having a length of 90.0 cm emits a fu...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. A one-metre long stretched string having a mass of 40 g is attached to...

    Text Solution

    |

  5. A wire, fixed at both ends is seen to vibrate at a resonant frequency ...

    Text Solution

    |

  6. A string, fixed at both ends, vibrates in a resonant mode with a separ...

    Text Solution

    |

  7. A 660 Hz tuning fork sets up vibration in a string clamped at both end...

    Text Solution

    |

  8. A particular guitar wire is 30.0 cm long and vibrates at a frequency o...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. Two wires are kept tight between the same pair of supports. The tensio...

    Text Solution

    |

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

    Text Solution

    |

  13. Figure shows an aluminium wire of length 60 cm joined to a steel wire ...

    Text Solution

    |

  14. A string of length L fixed at both ends vibrates in its fundamental mo...

    Text Solution

    |

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

    Text Solution

    |

  16. The equation for the vibration of a string, fixed at both ends vibrati...

    Text Solution

    |

  17. The equation of a standing wave, produced on a string fixed at both en...

    Text Solution

    |

  18. A 40 cm wire having a mass of 3.2 g is stretched between two fixed sup...

    Text Solution

    |

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

    Text Solution

    |

  20. A 2.00 m-long rope, having a mass of 80 g, is fixed at one end and is ...

    Text Solution

    |