Home
Class 12
PHYSICS
The equation of a stationary wave is rep...

The equation of a stationary wave is represented by
`y=2sin((2pix)/(3))sin(3pit)`
Where y and x are in metre and t is in second. Calculate amplitude, frequency, wavelength and velocity of the component waves whose superposition has produced these vibrations.

Text Solution

Verified by Experts

The correct Answer is:
`a=1 m `
`v=15 Hz `
`lambda=3 m `
v=45 m/s

Compare the equation with `y=2asin(kx) sin omegat`
Promotional Banner

Topper's Solved these Questions

  • WAVES

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

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section-B)|35 Videos
  • WAVES

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT ( SECTION-D ( Assertion - Reason Type Questions ))|12 Videos
  • WAVE OPTICS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section-J (Aakash Challengers question))|1 Videos
  • WORK, ENERGY AND POWER

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - D)|13 Videos

Similar Questions

Explore conceptually related problems

The equation given below represents a stationary wave set-up in a medium y=12sin(4pix)sin(4pit) where y and x are in cm and t is in second. Calculate the amplitude, wavelength and velocity of the component waves.

The equation of a stationary a stationary wave is represented by y=4sin((pi)/(6)x)(cos20pit) when x and y are in cm and t is in second. Wavelength of the component waves is

The equation of progressive wave is given by y=10sin[300pi(t-(x)/(480))] where x and y are in metre and t is in second. Calculate the amplitude frequency time period and wavelength of the wave.

The equation of a progressive wave is y= 1.5sin(328t-1.27x) . Where y and x are in cm and t is in second. Calcualte the amplitude, frequency, time period and wavelength of the wave.

A stationary wave is given by y = 5 sin (pi x)/( 3) cos 40 pi t where x and y are in cm and t is in second. a. What are the amplitude and velocity of the component wave whose superposition can give rise to this vibration ? b. What is the distance between the nodes ? c. What is the velocity of a particle of the string at the position x = 1.5 cm when t = 9//8 s ?

The equation of a wave id represented as Y=2sin(Πx - 200Πt) where x and y are in cm and t is in second. The wave velocity is

The equation of a plane progressive wave is given by y=2cos(100pit-(pix)/(20)) where x and y are in cm and t is in second. The wavelength of the wave is

Two waves represented by y_(i)=3sin(200x-150t) and y_(2)=3cos(200x-150t) are superposed where x and y are in metre and t is in second. Calculate the amplitude of resultant wave

The equation of a wave distrubance is a given as y= 0.02 sin ((pi)/(2)+50pi t) cos (10 pix) , where x and y are in metre and t is in second . Choose the correct statement (s).

The equation of a wave is y=4 sin[(pi)/(2)(2t+(1)/(8)x)] where y and x are in centimeres and t is in seconds.

AAKASH INSTITUTE ENGLISH-WAVES-Try Yourself
  1. The speed of sound waves in air at 300K is 332 m/s. At what temperatur...

    Text Solution

    |

  2. The velocity of sound in air at 20^(@)C is 340ms^(-1). Keeping the tem...

    Text Solution

    |

  3. Two waves represented by y(i)=3sin(200x-150t) and y(2)=3cos(200x-150t)...

    Text Solution

    |

  4. What is the phase difference between two waves of equal amplitude havi...

    Text Solution

    |

  5. A man fires a gun while standing between two parallel hills. If he hea...

    Text Solution

    |

  6. The equation of a transverse wave travelling along a string is y(xt)=0...

    Text Solution

    |

  7. The equation of a stationary wave is represented by y=2sin((2pix)/(3...

    Text Solution

    |

  8. A sonometer wire is under a tension of 10 N and the length between the...

    Text Solution

    |

  9. The constituent waves of a stationary wave have amplitude frequency an...

    Text Solution

    |

  10. The distance between any two adjacent nodes in a stationary wave is 15...

    Text Solution

    |

  11. What is the fundamental frequency of an open organ pipe of length 42.5...

    Text Solution

    |

  12. Calculate the frequency of fifth harmonic of a closed organ pipe of le...

    Text Solution

    |

  13. What should be minimum length of an open organ pipe for producing a no...

    Text Solution

    |

  14. How is the fundamental frequency of an open pipe related to the fundam...

    Text Solution

    |

  15. Velocity of sound in a medium is 490m/s. two waves of wavelength 98 cm...

    Text Solution

    |

  16. Two waves of frequency 500 Hz and 498 Hz are produced simultaneously. ...

    Text Solution

    |

  17. The ptich of the whistle of an engine appears to rise to 1,2 times the...

    Text Solution

    |

  18. The frequency of the whistle of a train is observed to drop from 280 H...

    Text Solution

    |

  19. A rocket is moving at a speed of 220 ms^(-1) towards a stationary targ...

    Text Solution

    |

  20. A rocket is moving at a speed of 200 m s^(-1) towards a stationary tar...

    Text Solution

    |