Home
Class 12
PHYSICS
A steel wire of mass 4.0 g and length 80...

A steel wire of mass 4.0 g and length 80 cm is fixed at the two ends. The tension in the wire is 50 N. Find the frequency and wavelength of the fourth harmonic of the fundamental.

A

`80 cm`

B

`60 cm`

C

`40 cm`

D

`20 cm`

Text Solution

Verified by Experts

The correct Answer is:
C
`f = (4V)/(2L) rArr lambda = (v)/(f) = (L)/(2) = 40 cm`
Promotional Banner

Topper's Solved these Questions

  • TRAVELLING WAVES

    RESONANCE ENGLISH|Exercise Exercise- 2 PART I|21 Videos

  • TRAVELLING WAVES

    RESONANCE ENGLISH|Exercise Exercise- 2 PART II|19 Videos

  • TRAVELLING WAVES

    RESONANCE ENGLISH|Exercise Exercise- 1 PART I|23 Videos

  • TEST SERIES

    RESONANCE ENGLISH|Exercise PHYSICS|130 Videos

  • WAVE ON STRING

    RESONANCE ENGLISH|Exercise Exercise- 3 PART II|7 Videos

Similar Questions

Explore conceptually related problems

A 2.00 m-long rope, having a mass of 80 g, is fixed at one end and is tied to a light string at the other end. The tension in the string is 256 N. (a) Find the frequencies of the fundamental and the first two overtones. (b) Find the wavelength in the fundamental and the first two overtones.

A turning fork is sounded together with a stretched sonometer wire of length 50 cm. When the tension in the wire is 100 N, 4 beats are heard. Find the frequency of the tuning fork if the same number of beats are heard when the tention in the wire reduced to 81 N.

A 1 m long rope, having a mass of 40 g , is fixed at one end and is tied to a light string at the other end. The tension in the string in 400 N . Find the wavelength in second overtone (in cm ).

A sonometer wire has a total length of 1m between the fixed ends. Where should the two bridges be placed below the wire so that the three segments of the wire have their fundamental frequencies in the ratio 1 : 2 : 3 ?

A sonometer wire has a total length of 1 m between the fixed ends. Where should the two bridges be placed below the wire so that the three segments of the wire have their fundamental frequencies in the ratio 1 : 2 : 3 ?

A metal wire of diameter 1 mm is held on two knife by a distance 50 cm . The tension in the wire is 100 N . The wire vibrating with its fundamental frequency and a vibrationg tuning fork together produce 5 beats//s . The tension in the wire is then reduced to 81 N . When the two excited , beats are heard at the same rate . Calculate i. the frequency of the fork and ii. the density of material of wire

A piano wire with mass 3.00 g and length 80.0 cm is stretched with a tension of 25.0 N. A wave with frequancy 120.0 Hz and amplitude 1.6 mm travels along the wire. (a) calculate the average power carried by the wave. (b) what happenes to the avarage power if the wave amplitude is halved?

Figure shows an aluminium wire of length 60 cm joined to a steel wire of length 80 cm and stretched between two fixed supports. The tension produced is 40 N . The cross-sectional area of the steel wire is 1.0 mm^(2) and that of the aluminimum wire is 3.0 mm^(2) The minimum frequency of a tuning fork which can produce standing waves in the system with the joint as a node is 10P (in Hz ) the find P . Given density of aluminimum is 2.6 g//cm^(3) and that of steel is 7.8 g//cm^(3) .

A metal wire of diameter 1 mm is held on two knife edges by a distance 50 cm . The tension in the wire is 100 N . The wire vibrating with its fundamental frequency and a vibrating tuning fork together produce 5 beats//s . The tension in the wire is then reduced to 81 N . When the two are excited, beats are heard at the same rate. Calculate (a) frequency of a fork and (b) the density of material of wire.

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

RESONANCE ENGLISH-TRAVELLING WAVES-Exercise- 1 PART II
  1. Three blocks I, II, & III having mass of 1.6 kg, 1.6 kg and 3.2 kg rep...

    Text Solution

    |

  2. Three consecutive flash photographs of a travelling wave on a string w...

    Text Solution

    |

  3. A heavy ball is suspended from the ceiling of a motor car through a li...

    Text Solution

    |

  4. A wave moving with constant speed on a uniform string passes the point...

    Text Solution

    |

  5. A sinusoidal wave with amplitude y is travelling with speed v on a str...

    Text Solution

    |

  6. Sinusoidal waves 5.00 cm in amplitude are to be transmitted along a st...

    Text Solution

    |

  7. The average power transmitted through a given point on a string suppor...

    Text Solution

    |

  8. Two waves of same amplitude a and frequency v and having a phase diffe...

    Text Solution

    |

  9. A wave moving with constant speed on a uniform string passes the point...

    Text Solution

    |

  10. Two wave of amplitude A(1), and A(2) respectively and equal frequency ...

    Text Solution

    |

  11. A wave pulse, travelling on a two piece string, gets partically reflec...

    Text Solution

    |

  12. The following figure depicts a wave travelling in a medium. Which pair...

    Text Solution

    |

  13. Three coherent waves having amplitudes 12mm, 6mm and 4mm arrive at a g...

    Text Solution

    |

  14. A wave representing by the equation y = A cos(kx - omegat) is suerpose...

    Text Solution

    |

  15. A wire having a lineat density of 0.05 gm/ cc is stretched between two...

    Text Solution

    |

  16. Equations of a stationery and a travelling waves are y(1)=a sin kx cos...

    Text Solution

    |

  17. Two uniform wires A and B are of same metal and have equal masses. The...

    Text Solution

    |

  18. A steel wire of mass 4.0 g and length 80 cm is fixed at the two ends. ...

    Text Solution

    |

  19. Two wires of same material of radii 2r and r are welded together end t...

    Text Solution

    |

  20. In a stationary wave represented by y = a sin omegat cos kx, amplitude...

    Text Solution

    |