Home
Class 11
PHYSICS
The path difference between the two wave...

The path difference between the two waves
`y_(1)=a_(1) sin(omega t-(2pi x)/(lambda)) and y(2)=a_(2) cos(omega t-(2pi x)/(lambda)+phi)` is

A

`(lambda)/(2 pi ) phi`

B

`(lambda)/(2 pi)(phi+(pi)/(2))`

C

`(2 pi)/(lambda)(phi -(pi)/(2))`

D

`(2 pi)/(lambda)phi`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • WAVES AND SOUND

    ERRORLESS |Exercise Interference and Superposition of Waves|26 Videos

  • WAVES AND SOUND

    ERRORLESS |Exercise Beats|51 Videos

  • WAVES AND SOUND

    ERRORLESS |Exercise SET|25 Videos

  • VECTORS

    ERRORLESS |Exercise Exercise|223 Videos

  • WORK , ENERGY , POWER AND COLLISION

    ERRORLESS |Exercise Self Evaluation Test|19 Videos

Similar Questions

Explore conceptually related problems

If two independent waves are y_(1)=a_(1)sin omega_(1) and y_(2)=a_(2) sin omega_(2)t then

The resultant ampiltude of a vibrating particle by the superposition of the two waves y_(1) = a sin ( omega t + (pi)/(3)) and y_(2) = a sin omega t is :

Two transverse waves travel in a medium in same direction. y_(1)=a cos (omegat-(2pi)/lambda_(1) x), y_(2)=a cos (2 omegat-(2pi)/lambda_(2) x) (a) Write the ratio of wavelengths (lambda_(1)/lambda_(2)) for the two waves. (b) Plot the displacement of the particle at x = 0 with time (t).

Two waves are passing through a region in the same direction at the same time . If the equation of these waves are y_(1) = a sin ( 2pi)/(lambda)( v t - x) and y_(2) = b sin ( 2pi)/( lambda) [( vt - x) + x_(0) ] then the amplitude of the resulting wave for x_(0) = (lambda//2) is

Two waves are given by y_(1) = a sin (omega t - kx) and y_(2) = a cos (omega t - kx) . The phase difference between the two waves is

The displacements of two travelling waves are represented by the equations as : y_(1) = a sin (omega t + kx + 0.29)m and y_(2) = a cos (omega t + kx)m here x, a are in m and t in s, omega in rad. The path difference between two waves is (x xx 1.28) (lambda)/(pi) . Find the value of x.

The displacements of two interfering light waves are y_(1) = 2sin omega t and y_(2) = 5sin (omega t+(pi)/(3)) the resultant amptitude is

The resultant intensity after interference of two coherent waves represented by the equation Y_(1)=a_(1)sin omega t and Y_(2)=a_(2)sin((pi)/(2)-omega t) will be proportional to

ERRORLESS -WAVES AND SOUND-Progressive Waves
  1. A wave is represented by the equation y = A sin(10pix + 15pit + (pi)...

    Text Solution

    |

  2. A plane wave is described by the equation y=3 cos ((x)/(4)-10 t-(pi)...

    Text Solution

    |

  3. The path difference between the two waves y(1)=a(1) sin(omega t-(2pi...

    Text Solution

    |

  4. Wave equations of two particles are given by y(1)=a sin (omega t -kx),...

    Text Solution

    |

  5. A wave is represented by the equation y=0.5 sin (10 t-x)m. It is a tra...

    Text Solution

    |

  6. A wave is represented by the equetion y=7 sin(7pi t-0.04pix+(pi)/(3))...

    Text Solution

    |

  7. The equation of a transverse travelling on a rope is given by y=10sinp...

    Text Solution

    |

  8. As a wave propagates,

    Text Solution

    |

  9. A transverse wave is represented by the equation y=y0sin.(2pi)/(lamd...

    Text Solution

    |

  10. A travelling wave in a stretched string is described by the equation y...

    Text Solution

    |

  11. A wave travels in a medium according to the equation of displacement g...

    Text Solution

    |

  12. The particles of a medium vibrate about their mean positions whenever ...

    Text Solution

    |

  13. A progressive wave is given by y=3 sin 2pi [(t//0.04)-(x//0.01)] w...

    Text Solution

    |

  14. If the equation of progressive wave is given by y=4 sin pi[(t)/(5)-(x)...

    Text Solution

    |

  15. With the propagation of a longitudinal wave through a material medium,...

    Text Solution

    |

  16. The frequency of the sinusoidal wave y=0.40 cos [2000 t +0.80 x] wo...

    Text Solution

    |

  17. Which of the following equations represents a wave

    Text Solution

    |

  18. The equation of a transverse wave is given by y=100 sin pi (0.04z...

    Text Solution

    |

  19. The equation of a plane progressive wave is given byy = 0.025 sin (100...

    Text Solution

    |

  20. The equation of a sound wave is y=0.0015sin(62.4x+316t) the wavelength...

    Text Solution

    |