Home
Class 12
PHYSICS
The equation of a standing wave in a str...

The equation of a standing wave in a string fixed at both its ends is given as y=2A sin kx cos `omegat`. The amplitude and frequency of a particle vibrating at the point of string midway between a node and an antinode is

A

`A,(omega)/(2pi)`

B

`(A)/(sqrt(2)),(omega)/(2pi)`

C

`A,(omega)/(2pi)`

D

`sqrt(2)A,(omega)/(2pi)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • WAVES

    AAKASH INSTITUTE|Exercise Assignment (Section-C)|11 Videos

  • WAVES

    AAKASH INSTITUTE|Exercise Assignment (Section-D)|9 Videos

  • WAVES

    AAKASH INSTITUTE|Exercise Assignment (Section-A)|55 Videos

  • WAVE OPTICS

    AAKASH INSTITUTE|Exercise Assignment (Section-J (Aakash Challengers question))|1 Videos

  • WORK, ENERGY AND POWER

    AAKASH INSTITUTE|Exercise Assignment (SECTION - D)|15 Videos

Similar Questions

Explore conceptually related problems

Standing Wave Vibrations of string fixed at both ends

Standing Waves In A Strings Fixed At Both Ends

The velocity of waves in a string fixed at both ends is 3 m/s. The string forms standing waves with nodes 6 cm apart. The frequency of vibration of the string is

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

If in a stationary wave the amplitude corresponding to antinode is 4 cm, then the amplitude corresponding to a particle of medium located exactly midway between a node and an antinode is :-

The equation of a standing wave, produced on a string fixed at both ends, is y = (0.4 cm) sin[(0.314 cm^-1) x] cos[(600pis^-1)t] What could be the smallest length of the string ?

A string fixed at its both ends vibrates in 5 loops as shown in the figure

A sinusoidal wave is given by y=A sin (kx- omegat ). The ratio of its maximum particle velocity to wave velocity is

A string fixed at both the ends is vibrating in two segments. The wavelength of the corresponding wave is

AAKASH INSTITUTE-WAVES-Assignment (Section-B)
  1. the speed of sound in hydrogen at NTP is 1270m/s. then the speed in m/...

    Text Solution

    |

  2. If you set up the seventh harmonic on a string fixed at both ends, how...

    Text Solution

    |

  3. The equation of a standing wave in a string fixed at both its ends is ...

    Text Solution

    |

  4. An isotropic point source 'S' of sound emits constant power. Two point...

    Text Solution

    |

  5. A sinusoidal wave is given by y=A sin (kx-omegat). The ratio of its ma...

    Text Solution

    |

  6. A stretched string is fixed at both its ends. Three possible wavelengt...

    Text Solution

    |

  7. For an organ pipe, four of the six harmonics of frequency less than 10...

    Text Solution

    |

  8. A thick uniform rope of length L is hanging from a rigid support. A tr...

    Text Solution

    |

  9. Third overtone of a closed organ pipe is in unison with fourth harmoni...

    Text Solution

    |

  10. The string of a violin emits a note of 205 Hz when its tension is corr...

    Text Solution

    |

  11. A whistle 'S' of frequency v revolves in a circle of radius R at a con...

    Text Solution

    |

  12. Two sinusoidal waves are superposed. Their equations are y(1)=Asin(k...

    Text Solution

    |

  13. Two vibrating tuning forks producing waves given by y(1) = 27 "sin" 60...

    Text Solution

    |

  14. In a stationary wave, all particles of the medium cross the mean posit...

    Text Solution

    |

  15. The figure shows the snapshot of a travelling sine wave in a string. F...

    Text Solution

    |

  16. A wave moves with a certain speed in a stretched string. The percentag...

    Text Solution

    |

  17. The ratio of intensities of two waves is 2. the ratio of intensities o...

    Text Solution

    |

  18. n identical coherent waves each with the same initial phase arrive at ...

    Text Solution

    |

  19. What is the phase difference between particles being on either side of...

    Text Solution

    |

  20. The amplitude of a wave represented by the equation y=3sin(5x-0.5t)+4c...

    Text Solution

    |