Home
Class 12
PHYSICS
The equation of a vibrating string is ...

The equation of a vibrating string is
`y=0.01cos4pixxsin200pit`
Where all quantities are expressed in SI units. Then the amplitude of component wave is

A

0.05m

B

0.005m

C

0.1m

D

0.01m

Text Solution

Verified by Experts

The correct Answer is:
B
`y=0.01cos4pixsin200pit`
`therefore R=0.01cos4pix`
. `R=2Acos4pix`
`therefore 2A = 0.01 therefore A=0.005m`
Promotional Banner

Topper's Solved these Questions

  • SEMICONDUCTORS

    NIKITA PUBLICATION|Exercise MCQS|350 Videos

  • SURFACE TENSION

    NIKITA PUBLICATION|Exercise Multiple Choice Questions (Question Given in MHT-CET )|31 Videos

Similar Questions

Explore conceptually related problems

The equation of a wave motion is given by y = 7 sin(7pi t - 0.4 pi x + (pi)/(3)) , where all quantities are measured in SI units. Then the ratio of wave velocity to the maximum particle velocity is

The equation of standing wave is y=0.1cos(pix)sin(200pit) . What is the frequency of the wave?

The equation of a wave is given by Y = 5 sin 10pi(t - 0.01x) along the x-axis. (All the quantities are expressed in SI units). The phase difference between the points separated by a distance of 10 m along x-axis is

The equation of a stationary wave is y=20cos0.5pixsin100pit . Find the equations of its parent progressive waves.

The equation of a stationary wave is y = 0.04 sin 200 pi t cos (pi x)/(0.3) with all quantities in SI units. What is the speed of the waves superposed ?

The equation of a stationary wave is y =0.05 sin 200 pi t cos pi x with all quantities in SI units. What is the maximum speed of a particle at an antinode ?

The equation of a progressive wave is, y = 0.4 sin [pi ((t)/(5) - (x)/(9)) + (pi)/(6)] , where all quantities are measured in SI units. Then which of the following is correct

The equation of a wave is y=2 sin pi (0.5x- 200 t) . Where x and y are expressed in cm and t in sec. The wave velocity is

The equation of a stationary wave is given by y=6sin(pi)//(x)cos40pit Where y and x are given in cm and time t in second. Then the amplitude of progressive wave is

Two simple harmonic progressive waves is represented by y_1=0.01 sin 2pi ((t)/(0.01)-(x)/(0.4)) and y_2=0.01 sin 2pi ((t)/(0.01)+(x)/(0.4)) , where all quantities are expressed in SI units. The waves combine to form a stationary wave, the equation of the stationary wave is

NIKITA PUBLICATION-STATIONARY WAVES -MCQs
  1. The value of amplitude at an antinode , on an undamped one dimensiona...

    Text Solution

    |

  2. The value of amplitude at an antinode , on an undamped one dimensiona...

    Text Solution

    |

  3. The equation of a vibrating string is y=0.01cos4pixxsin200pit Wher...

    Text Solution

    |

  4. The velocity of the component wave is

    Text Solution

    |

  5. A wave disturbance in a medium is described by y(x,t) = 0.02 "cos"(50p...

    Text Solution

    |

  6. A wave of length 2m is superimposed on its reflected wave to form a st...

    Text Solution

    |

  7. Two wires whose lengths are in ratio 3:2 are stretched with equal tens...

    Text Solution

    |

  8. Two sound waves each of frequency 500Hz are travelling along the same ...

    Text Solution

    |

  9. If a wave is propagated along the stretched string in the form

    Text Solution

    |

  10. The simplest mode of a vibration of the string is

    Text Solution

    |

  11. In a simple harmonic mode of vibration, on a string

    Text Solution

    |

  12. The lowest frequency of the vibrating string is

    Text Solution

    |

  13. The maximum or thershold wavelength of transverse stationary wave on ...

    Text Solution

    |

  14. Stading waves can be produced (A) On a string clamed at both ends. ...

    Text Solution

    |

  15. In law of length , the fundamental frequency of vibrating string is

    Text Solution

    |

  16. In law of tension, the fundamental frequency of vibrating string is

    Text Solution

    |

  17. In law of linear density, the fundamental frequency of vibrating strin...

    Text Solution

    |

  18. For a constant vibrating length, density of the material and tension i...

    Text Solution

    |

  19. The difference between two successive odd harmonics of vibrating strin...

    Text Solution

    |

  20. Two identical wires of different materials are stretched by the same ...

    Text Solution

    |