Home
Class 11
PHYSICS
Consider the following functon, (a) y=...

Consider the following functon,
(a) `y=x^(2)+2 alpha, tx`
(b) `y=(x+vt)^(2)`
Which among the above function can be characterized as a wave ?

Text Solution

Verified by Experts

Given
Formula
For the function to be a wave function `((dy//dx))/((dy//dt))` should be a constant.
For function (a) :
`y=x^(2)+2alpha tx`
`(dy)/(dx)=2x+2alpha t " "....(1)`
`(dy)/(dt)=00+2alpha " "....(2)`
`((1)/(2)) rArr (dy//dx)/(dy//dt)=(2x+2alpha t)/(2alphax)`
(a)does not describe wave.
(b) satisfies wave fuinction.
Promotional Banner

Topper's Solved these Questions

  • WAVES

    PREMIERS PUBLISHERS|Exercise EVALUTION TEXTBOOK QUESTIONS AND ANSWERS ( CONCEPTUAL QUESTIONS . )|12 Videos
  • WAVES

    PREMIERS PUBLISHERS|Exercise OTHER IMPORTANT & QUESTIONS ANSWERS ( MULTIPLE CHOICE QUESNTIONS ) :|86 Videos
  • WAVES

    PREMIERS PUBLISHERS|Exercise EVALUTION TEXTBOOK QUESTIONS AND ANSWERS ( LONG ANSWERS QUESTIONS : )|32 Videos
  • QUESTION PAPER MARCH 2019

    PREMIERS PUBLISHERS|Exercise Part- IV|23 Videos
  • WORK, ENERGY AND POWER

    PREMIERS PUBLISHERS|Exercise VERY SHORT ANSWER QUESTIONS|34 Videos
PREMIERS PUBLISHERS-WAVES-EVALUTION TEXTBOOK QUESTIONS AND ANSWERS ( NUMERICAL PROBLEMS. )
  1. The speed of a wave in a certain medium is 900 m/s. If 3000 waves pass...

    Text Solution

    |

  2. Consider a mixture of 2 mole helium and 4 mole of oxygen. Compute the ...

    Text Solution

    |

  3. A ship in a sea sends SONAR waves straight down into the seawater from...

    Text Solution

    |

  4. A sound wave is transmitted into a tube as shown in figure. The sound ...

    Text Solution

    |

  5. N tuning forks are arranged in order of increasing frequency and any t...

    Text Solution

    |

  6. Let the source propagate a sound waves whose intensity at a point (in...

    Text Solution

    |

  7. Consider two organ pipes of same length in which are organ is closed a...

    Text Solution

    |

  8. A police in a siren car moving with a velocity 20 ms^(-1) chases a thi...

    Text Solution

    |

  9. Consider the following functon, (a) y=x^(2)+2 alpha, tx (b) y=(x+v...

    Text Solution

    |

  10. The speed of a wave in a certain medium is 900 m/s. If 3000 waves pass...

    Text Solution

    |

  11. Consider a mixture of 2 mole helium and 4 mole of oxygen. Compute the ...

    Text Solution

    |

  12. A ship in a sea sends SONAR waves straight down into the seawater from...

    Text Solution

    |

  13. A sound wave is transmitted into a tube as shown in figure. The sound ...

    Text Solution

    |

  14. N tuning forks are arranged in order of increasing frequency and any t...

    Text Solution

    |

  15. Let the source propagate a sound waves whose intensity at a point (in...

    Text Solution

    |

  16. Consider two organ pipes of same length in which are organ is closed a...

    Text Solution

    |

  17. A police in a siren car moving with a velocity 20 ms^(-1) chases a thi...

    Text Solution

    |

  18. Consider the following functon, (a) y=x^(2)+2 alpha, tx (b) y=(x+v...

    Text Solution

    |