Home
Class 12
PHYSICS
A 75 cm string fixed at both ends produc...

A `75 cm` string fixed at both ends produces resonant frequencies `384 Hz and 288 Hz` without there being any other resonant frequency between these two . Wave speed for the string is

A

144 m/s

B

216 m/s

C

108 m/s

D

72 m/s

Text Solution

Verified by Experts

The correct Answer is:
A
`Deltan = 384 - 288 = 96 H`z
Thus 288 Hz and 384 Hz `(96 xx 3, 96 xx4)` are third and fourth harmonics
For fundamental mode
`(lambda)/(2) = 0.75`
`lambda = 1.5 m`
`eta = 96`
`v = 96 xx 1.5 = 144 m//s.`
Promotional Banner

Topper's Solved these Questions

  • WAVES

    PHYSICS GALAXY - ASHISH ARORA|Exercise Advance MCQs with One or More Options Correct|30 Videos

  • WAVES

    PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved Numerical Problems for Preparation of NSE, INPhO & IPhO|135 Videos

  • WAVES

    PHYSICS GALAXY - ASHISH ARORA|Exercise Conceptual MCQs Single Option Correct|24 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

A string is stretched betweeb fixed points separated by 75.0 cm . It observed to have resonant frequencies of 420 Hz and 315 Hz . There are no other resonant frequencies between these two. The lowest resonant frequency for this strings is

A string is stretched between fixed points separated by 75.0cm . It is observed to have resonant frequencies of 420 Hz and 315 Hz . There are no other resonant frequencies between these two. Then, the lowest resonant frequency for this string is

A string fixed at both ends whose fundamental frequency is 240 Hz is vibrated with the help of a tuning fork having frequency 480 Hz , then

If a string fixed at both ends having fundamental frequency of 240 Hz is vibrated with the help of a tuning fork having frequency 280 Hz , then the

A string that is stretched between fixed supports separted by 75.0 cm has resonant frequencies of 420 and 215 Hz with no intermedniate resonant frequencies. What are (a) the lowest resonant frequencies and (b) the wave speed?

A string that is stretched between fixed supports separated by 75.0 cm has resonant frequencies of 450 and 308 Hz, with no intermediate resonant frequencies. What are (a) the lowest resonant frequency and (b) the wave speed?

A string that is stretched between fixed supports separated by 75.0 cm has resonant frequencies of 420 and 315 Hz, with no intermediate resonant frequencies. What is the lowest resonant frequency?

A uniform string fixed at both ends vibrates in a resonant mode with a separation of 2.0 cm between the consecutive nodes. For next higher resonant frequency, this separation is reduced to 1.6 cm. The length of the string is

A pipe closed at one end open at the other end, resonates with sound waves of frequency 135 Hz and also 165 Hz, but not with any wave of frequency intermediate between these two. Then, the frequency of the fundamental note is

PHYSICS GALAXY - ASHISH ARORA-WAVES -Numerical MCQs Single Options Correct
  1. A transverse wave is propagating along +x direction. At t=2 sec the pa...

    Text Solution

    |

  2. In the figure shown strings AB and BC have masses m and 2m respectivel...

    Text Solution

    |

  3. A 75 cm string fixed at both ends produces resonant frequencies 384 Hz...

    Text Solution

    |

  4. A string of length 'L' is fixed at both ends . It is vibrating in its ...

    Text Solution

    |

  5. A 40 cm long wire having a mass 3.2 g and area of cross - section 1 m...

    Text Solution

    |

  6. A string of length 1.5 m with its two ends clamped is vibrating in fun...

    Text Solution

    |

  7. A string is fixed at both ends. The tension in the string and density ...

    Text Solution

    |

  8. A string of length l' fixed at both ends vibrates in resonance with a ...

    Text Solution

    |

  9. A block of mass 2m is hanging at the lower and of a ropeof mass m and ...

    Text Solution

    |

  10. A block of mass 2m is hanging at the lower and of a ropeof mass m and ...

    Text Solution

    |

  11. A block of mass 2m is hanging at the lower and of a ropeof mass m and ...

    Text Solution

    |

  12. A standing wave exists in string of length 150 cm fixed at both ends. ...

    Text Solution

    |

  13. A standing wave exists in string of length 150 cm fixed at both ends. ...

    Text Solution

    |

  14. A standing wave exists in string of length 150 cm fixed at both ends. ...

    Text Solution

    |

  15. A transverse sinusoidal wave is generted at one end of long, horizonta...

    Text Solution

    |

  16. A transverse sinusoidal wave is generted at one end of long, horizonta...

    Text Solution

    |

  17. A transverse sinusoidal wave is generated at one end of a long horizon...

    Text Solution

    |

  18. The wave-function for a certain standing wave on a string fixed at bot...

    Text Solution

    |

  19. A loop of a string of mass per unit length mu and radius R is rotated ...

    Text Solution

    |

  20. Graph shows three waves that are separately sent along a string that i...

    Text Solution

    |