Home
Class 11
PHYSICS
The equation of a wave motion (with t in...

The equation of a wave motion (with t in seconds and x in metres ) is given by `y=7 sin [ 7 pi t-0.4 pi x+(pi)/(3)]` . The velocity of the wave will be

A

`17.5 m//s`

B

`49 pi m//s`

C

`(40)/(2 pi) m//s`

D

`(2 pi)/(49) m//s`

Text Solution

Verified by Experts

The correct Answer is:
A
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

The equation of a transverse wave along a stretched string is given by y = 15 sin 2pi ((t)/(0.04) - (x)/(40)) cm . The velocity of the wave is

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 a plane progressive wave is given by, y= 3sin pi (( t)/( 0.02) -(x)/( 20)) .The frequency of the wave is

The equation of a progressive wave is y=8 sin [ pi ((t)/(10)-(x)/(4))+(pi)/(3)] . The wavelength of the wave is

The equation of a progressive wave is given by, y = 3 sin pi ((t)/(0.02) - (x)/(20)) m . Then the frequency of the wave is

If the wave equation y= 0.08 sin (2 pi)/(lambda) (200t-x) then the velocity of the wave will be

A sound wave is travelling in a medium.If equation of displacement wave in the medium is given by y = 2cos ( 2 pi x - 100 pi t + pi/2 ) then equation of pressure waves will be (B rarr Bulk modulus of medium) (А) P = 4B pi sin ( 2 pi x - 100 pi t ) (В) P = 4B pi sin ( 2 pi x + 100 pi t ) (C) P = 4B pi cos ( 2 pi x - 100 pi t ) (D) P = 4B pi cos ( 2 pi x + 100 pi t )

ERRORLESS -WAVES AND SOUND-Progressive Waves
  1. The equation of a wave is represented by y= 10^(-4) sin[ 100 t -(x)/(...

    Text Solution

    |

  2. A wave travelling in positive X-direction with A=0.2m has a velocity o...

    Text Solution

    |

  3. The equation of a wave motion (with t in seconds and x in metres ) is ...

    Text Solution

    |

  4. Two waves represented by the following equations are travelling in the...

    Text Solution

    |

  5. The equation of a progressive wave is y=8 sin [ pi ((t)/(10)-(x)/(4))+...

    Text Solution

    |

  6. Which of the following is not true for the progressive wave y=4sin2...

    Text Solution

    |

  7. The equation of a wave is given asy = 0.07 sin (12 pi x - 3000 pi t). ...

    Text Solution

    |

  8. The equation of the propagating wave is y=25 sin (20 t+5 x),where y i...

    Text Solution

    |

  9. In a plane progressive wave given by y=25 cos (2 pi t- pi x), the amp...

    Text Solution

    |

  10. The displacement y of a wave travelling in the x-direction is given by...

    Text Solution

    |

  11. The displacement y of a partcle in a medium can be expressed as, y ...

    Text Solution

    |

  12. If the wave equation y= 0.08 sin (2 pi)/(lambda) (200t-x) then the vel...

    Text Solution

    |

  13. The phase difference between two points separated by 0.8 m in a wave o...

    Text Solution

    |

  14. A plane progressive wave is represented by the equation y=0.1 sin (20...

    Text Solution

    |

  15. The equation of a progressive wave is given by y = 0.5 sin (20 x - 40...

    Text Solution

    |

  16. A transverse progressive wave on a stretched string has a velocity of ...

    Text Solution

    |

  17. A transverse sinusoidal wave of amplitude a, wavelength lambda and fre...

    Text Solution

    |

  18. When a longitudinal wave propagates through a medium, the particles of...

    Text Solution

    |

  19. Equation of a progressive wave is given by y= a sin pi [(t)/(2)-(x)/(...

    Text Solution

    |

  20. The phase difference between two waves represented by y(1)=10 ^(...

    Text Solution

    |