Home
Class 11
PHYSICS
Three travelling waves are superimposed....

Three travelling waves are superimposed. The equations of the wave are
`y_(!)=A_(0) sin (kx-omegat), y_(2)=3 sqrt(2) A_(0) sin (kx-omegat+phi)` and `y_(3)=4 A_(0) cos (kx-omegat)`
find the value of `phi ("given "0 le phi le pi//2)` if the phase difference between the resultant wave and first wave is `pi//4`

Text Solution

Verified by Experts

The correct Answer is:
`phi=pi/12`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Two sinusoidal waves are superposed. Their equations are y_(1)=Asin(kx-omegat+(pi)/(6))and y_(2)=Asin(kx-omegat-(pi)/(6)) the equation of their resultant is

Two waves are represented by y_(1)=a_(1)cos (omega t - kx) and y_(2)=a_(2)sin (omega t - kx + pi//3) Then the phase difference between them is-

Three waves y_(1), y_(2) ,y_(3) are given by y_(1)= A sin (Kx- omegat), y_(2) A= sin (Kx+ omega t) and y_(3) = A sin (Ky- omega t) . Which one of the following represents wave ?

If x=a sin(omegat+(pi)/6) and x= a cos omegat , then what is the phase difference between the two waves?

Two waves are represented by Y_1=a_1 cos (omegat-kx) and Y-2 =a_2 sin (omegat-kx+pi//3) Then the phase difference between them is-

Which two of the following waves are in the same phase? y= A sin (kx -omega t ) y=A sin (kx -omega t+pi ) y= A sin (kx -omegat+ pi //2) y=A sin (kx -omega t +2pi )

Find the amplitude of the resultant wave produced due to interference of two waves given as, y_(1)A_(1)sinomegat,y_(2)=A_(2)sin(omegat+phi)

ARIHANT-WAVE MOTION-Level 2
  1. A transverse harmonic wave is propagating along a taut string. Tension...

    Text Solution

    |

  2. A small steel ball of mass m = 5g is dropped from a height of 2.0 m on...

    Text Solution

    |

  3. Three travelling waves are superimposed. The equations of the wave are...

    Text Solution

    |

  4. A sinusoidal wave having wavelength of 6 m propagates along positive x...

    Text Solution

    |

  5. A string SQ is connected to a long heavier string at Q. Linear mass de...

    Text Solution

    |

  6. The figure shows the snapshot at time t = 0 of a transverse pulse trav...

    Text Solution

    |

  7. A uniform string of length 6.5 m is subjected to a tension of 40 N. Ma...

    Text Solution

    |

  8. A longitudinal harmonic wave is travelling along positive x direction....

    Text Solution

    |

  9. A sinusoidal wave y=a sin ((2pi)/lambda x-omegat) is travelling on a s...

    Text Solution

    |

  10. A standing wave y = A sin kx .cos omegat is established in a string fi...

    Text Solution

    |

  11. A sinusoidal transverse wave of small amplitude is travelling on a str...

    Text Solution

    |

  12. The figure shows the y – x graph at an instant for a small amplitude t...

    Text Solution

    |

  13. A string has linear mass density m = 0.1 kg // m. A L = 60 cm segment ...

    Text Solution

    |

  14. A sinusoidal longitudinal wave is travelling in positive x direction. ...

    Text Solution

    |

  15. (i) Two cylindrical pipes are each of length L = 30 cm. One of them co...

    Text Solution

    |

  16. Speed of sound in atmosphere at a height h(0)' is 1080 km hr^( –1). Th...

    Text Solution

    |

  17. In resonance column experiment a tuning fork of frequency f = 400 Hz i...

    Text Solution

    |

  18. (i) In a travelling sinusoidal longitudinal wave, the displacement of ...

    Text Solution

    |

  19. Two sources A and B give out sound waves in coherence and in phase. Th...

    Text Solution

    |

  20. In the figure shown, S(1) and S(2) are two identical point sources of ...

    Text Solution

    |