Home
Class 11
PHYSICS
Find the fundamental frequency and the n...

Find the fundamental frequency and the next three frequencies that could cause a standing wave pattern on a string that is 30.0 m long, has a mass per unit length of `9.00 xx 10^(-3) kg//m` and is stretched to a tension of 20.0 N.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D

`v= sqrtT/mu = sqrt (20/(9xx (10^-3))) = 47.14 m//s`
`f_1 = v/(2l) = (47.14)/(2xx 30)`
= 0.786 Hz.
Next three frequencies are `2f_1, 3f_1 and 4f_1` .
Promotional Banner

Topper's Solved these Questions

  • SUPERPOSITION OF WAVES

    DC PANDEY|Exercise Subjective Questions|6 Videos
  • SUPERPOSITION OF WAVES

    DC PANDEY|Exercise Level 2 Single Correct|15 Videos
  • SUPERPOSITION OF WAVES

    DC PANDEY|Exercise Objective Questions|1 Videos
  • SOUND WAVES

    DC PANDEY|Exercise Exercise 19.7|4 Videos
  • THERMOMETRY THERMAL EXPANSION AND KINETIC THEORY OF GASES

    DC PANDEY|Exercise Medical entrance gallary|30 Videos

Similar Questions

Explore conceptually related problems

What are (a) the lowest frequency. (b) the second lowest frequency, and (c) the third lowest frequency for standing waves on a wire that is 10.0 m long, has a mass of 100 g. and is stretched under a tension of 275 N?

What is the second lowest frequency for standing waves on a wire that is 10.0 m long has a mass of 100 g and is stretched under a tension of 25 N which is fixed at both ends ?

What are (a) the lowest frequency (b) the scond lowest frequency and (c) the third lowest frequency for standing waves on a wire that is 10.0 m long has a mass of 100 g and is stretched under a tension of 25 N which is fixed at both ends?

What are (a) the lowest frequency, (b) the second lowest frequency, and (c) the third lowest frequency for standing waves on a wire that is 10.0 m long has a mass of 100 g. and is stretched under a tension of 250 N which is fixed at both ends ?

Calculate the frequency of the second harmonic formed on a string of length 0.5 m and mass 2xx10^(-4) kg when stretched with a tension of 20 N

The fundamental frequency of a stretched string fixed at both the ends is 50 Hz. If the velocity fo transverse wave created in string is 10 m s^(-1) , find its length .

What are the three lowest frequencies for standing waves on a wire 10m long having a mass of 100g, which is stretched under a tension of 1600N?

A middle C string on a piano has a fundamental frequency of 262 Hz , and the A note has fundamental frequency of 440 Hz . (a) Calculate the frequencies of the next two harmonics of the C string. (b) If the strings for the A and C notes are assumed to have the same mass per unit length and the same length, determine the ratio of tension in the two strings.

A piano string having a mass per unit length equal to 5.00 xx 10^(3)kg//m is under a tension of 1350 N , Find the speed with which a wave travels on this string.

A steel piano wire 0.5 m long has a total mass of 0.01 kg and is stretched with a tension of 800 N. The frequency, when it vibrates in its fundamental mode, is

DC PANDEY-SUPERPOSITION OF WAVES-Level 1 Subjective
  1. A string of length 20 cm and linear mass density 0.40 g//cm is fixed a...

    Text Solution

    |

  2. A wave pulse on a string has the dimensions shown in figure. The wave ...

    Text Solution

    |

  3. Two sinusoidal waves combining in a medium are described by the equati...

    Text Solution

    |

  4. A standing wave is formed by the interference of two travelling waves...

    Text Solution

    |

  5. Find the fundamental frequency and the next three frequencies that cou...

    Text Solution

    |

  6. A string vibrates in its first normal mode with a frequency of 220 vib...

    Text Solution

    |

  7. A 60.0 cm guitar string under a tension of 50.0 N has a mass per unit ...

    Text Solution

    |

  8. A wire having a linear density of 0.05 g//cmis stretched between two r...

    Text Solution

    |

  9. The vibrations from an 800 Hz tuning fork set up standing waves in a s...

    Text Solution

    |

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

    Text Solution

    |

  11. A sonometer wire has a total length of 1m between the fixed ends. Wher...

    Text Solution

    |

  12. A guitar string is 90 cm long and has a fundamental frequency of 124 H...

    Text Solution

    |

  13. Adjacent antinodes of a standing wave on a string are 15.0 cm apart. A...

    Text Solution

    |

  14. A 1.50 m long rope is stretched between two supports with a tension th...

    Text Solution

    |

  15. A wire with mass 40.0 g is stretched so that its ends are tied down at...

    Text Solution

    |

  16. Two harmonic waves are represented in SI units by y1(x,t) = 0.2 sin ...

    Text Solution

    |

  17. Figure shows different standing wave patterns on a string of linear ma...

    Text Solution

    |

  18. A string fastened at both ends has successive resonances with waveleng...

    Text Solution

    |

  19. A wave yi = 0.3 cos (2.0x - 40t) is travelling along a string toward a...

    Text Solution

    |

  20. A string that is 10 cm long is fixed at both ends. At t=0, a pulse tra...

    Text Solution

    |