Home
Class 12
PHYSICS
A nylon guiter string has a linear densi...

A nylon guiter string has a linear density of `7.20 g//m` and is under a tension of `150 N`. The fixed supports are distance `D = 90.0 cm` apart. The string is osillating in the stading wave pattern shown in figure. Calculate the (a) speed. (b) wavelength and (c) frequency of the travelling waves whose superposition gives this standing wave. ltbgt

Text Solution

Verified by Experts

The correct Answer is:
(a) `(250)/(sqrt(3))m//s;` , (b) `60.0 cm;` , (c) `(1250)/(3sqrt(3)) Hz`
Promotional Banner

Topper's Solved these Questions

  • WAVE ON STRING

    RESONANCE ENGLISH|Exercise Exercise- 1 PART II|31 Videos

  • WAVE ON STRING

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

  • WAVE ON STRING

    RESONANCE ENGLISH|Exercise Board Level Exercise|27 Videos

  • TRAVELLING WAVES

    RESONANCE ENGLISH|Exercise Exercise- 3 PART I|19 Videos

  • WAVE OPTICS

    RESONANCE ENGLISH|Exercise Advanced Level Problems|8 Videos

Similar Questions

Explore conceptually related problems

A tuning fork of frequency 440 Hz is attached to a long string of linear mass density 0.01 kg m^-1 kept under a tension of 49 N. The fork produces transverse waves of amplitude 0.50 mm on the string. (a) Find the wave speed and the wavelength of the waves. (b) Find the maximum speed and acceleration of a particle of the string. (c) At what average rate is the tuning fork transmitting energy to the string ?

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 string fixed at both ends is 8.40 m long and has a mass of 0.120 kg . It is subjected to a tension of 96.0 N and set oscillating. (a) What is the speed of the waves on the string? (b) What is the longest possible wavelength for a standing wave ? (c) Give the frequency of the wave.

Transverse waves travel with a speed of 20.0 m//s in a string under a tension of 6.00 N. what tension is requared for a wave speed of 30.0 m//s in the same string?

The velocity of waves in a string fixed at both ends is 2 m / s . The string forms standing waves with nodes 5.0 cm apart. The frequency of vibration of the string in Hz is

Equation of travelling wave on a stertched string of linear density 5 g // m is y=00.3 sin (450 t - 9 x) where distance and time are measured in SI units. The tension in the string is

Figure shows different standing wave patterns on a string of linear mass density 4.0 xx 10^-2 kg//m under a tension of 100 N. The amplitude of antinodes is indicated in each figure. The length of the string is 2.0m. (i) Obtain the frequencies of the modes shown in figures (a) and (b). (ii)Write down the transverse displacement y as a function of x and t for each mode. (Take the initial configuration of the wire in each mode to be as shown by the dark lines in the figure).

A 2.0m long string with a linear mass density of 5.2xx10^(-3) kg m^(-1) and tension 52N has both of its ends fixed. It vibrates in a standing wave patten with four antinodes. Frequency of the vibraion is :-

Figure shows a plot of the transverse displacements of the particles of a string at t = 0 through which a travelling wave is passing in the positive x-direction. The wave speed is 20 cms^-1 . Find (a) the amplitude, (b) the wavelength, (c) the wave number and (d) the frequency of the wave. .

A string of length 20 cm and linear mass density 0.40 g//cm is fixed at both ends and is kept under a tension of 16 N . A wave pulse is produced at t = 0 near an ends as shown in Fig. 7.17 (b) , which travels towards the other end . When will the string have the shape shown in the Fig . ( c).

RESONANCE ENGLISH-WAVE ON STRING -Exercise- 1 PART I
  1. A transverse wave is traelling along a string from left to right. The ...

    Text Solution

    |

  2. A piano string having a mass per unit length equal to 5.00 xx 10^(3)kg...

    Text Solution

    |

  3. In the arrangement shown in figure, the string has a mass of 4.5g. Ho...

    Text Solution

    |

  4. A uniform rope of length 12 mm and mass 6 kg hangs vertically from a r...

    Text Solution

    |

  5. A particle on a stretched string supporting a travelling wave, takes 5...

    Text Solution

    |

  6. Two wires of different densities but same area of cross-section are so...

    Text Solution

    |

  7. A 4.0 kg block is suspended from the ceiling of an elevator through a ...

    Text Solution

    |

  8. A 6.00m segment of a long string has a mass of 180 g. A high-speed pho...

    Text Solution

    |

  9. A transverse wave of amplitude 0.50 mm and frequency 100 Hz is produce...

    Text Solution

    |

  10. The equation of a plane wave travelling along positive direction of x-...

    Text Solution

    |

  11. A series of pulses, each of amplitude 0.150 m, are sent on a string th...

    Text Solution

    |

  12. Two waves, each having a frequency of 100 Hz and a wavelength of 2.0 c...

    Text Solution

    |

  13. What are (a) the lowest frequency (b) the scond lowest frequency and (...

    Text Solution

    |

  14. A nylon guiter string has a linear density of 7.20 g//m and is under a...

    Text Solution

    |

  15. The length of the wire shown in figure between the pulleys is 1.5 m an...

    Text Solution

    |

  16. A string oscillates according to the equation y' = (0.50 cm) sin [((...

    Text Solution

    |

  17. A string vibrates in 4 segments to a frequency of 400 Hz. (a) What i...

    Text Solution

    |

  18. The vibrations of a string of length 60 cm fixed at both ends are repr...

    Text Solution

    |

  19. A heavy string is tied at one end to a movable support and to a light ...

    Text Solution

    |

  20. A string 120 cm in length sustains a standing wave, with the points of...

    Text Solution

    |