Home
Class 11
PHYSICS
Can the wave functions y=r(x-vt) or y=rl...

Can the wave functions `y=r(x-vt)` or `y=rlog(x+vt), y=rsqrt(vt-x)` represent a wave motion?

Text Solution

Verified by Experts

No. This is because in dealing with wave motion, we assume that the wave function is continuous, single valued, harmonic and finite at every point. As the given functions are neither harmonic nor finite, therefore, they cannot represent wave motion.
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS AND WAVES

    PRADEEP|Exercise Very Short Answer Questions|99 Videos
  • OSCILLATIONS AND WAVES

    PRADEEP|Exercise Short Answer Questions|104 Videos
  • OSCILLATIONS AND WAVES

    PRADEEP|Exercise SOLVED EXAMPLES|54 Videos
  • MATHEMATICAL TOOLS

    PRADEEP|Exercise Fill in the blanks|5 Videos
  • PHYSICAL WORLD AND MEASUREMENT

    PRADEEP|Exercise Competiton Focus Jee Medical Entrance|18 Videos

Similar Questions

Explore conceptually related problems

The equation y=4 + 2 sin (6t - 3x) represents a wave motion with

The equation y=Asin^2(kx-omegat) represents a wave motion with

Show that the wave funcation y = e^(b(x-vt)) is a solution of the linear wave equation.

Does a travelling wave in one dimension represented by a function of a linear combination of x and t,i.e., y=f(ax+-bt) represented a travelling wave?

Verify that wave function (y=(2)/(x-3t)^(2)+1) is a solution to the linear wave equation, x and y are in centimetres.

Assertion : A progressive wave can be represented by y= log (x+vt) Reason: Any progressive wave must have the form y= f(x-vt )or y= f (x+vt) where symbols have their usual meaning

You have learnt that a travelling wave in a dimension is represented by a funcation y = f(x,t) where x and t must appear in the combination x-vt or x + vt , i.e y = f(x+- upsilon t) . Is the coverse true? (Examine if the following funcations for y can possibly represent a travelling wave : (a) (x - vt)^(2) (b) log [(x + v)//x_(0)] (c) 1//(x + v)

PRADEEP-OSCILLATIONS AND WAVES-conceptual problems
  1. Wat is a periodic wave function?

    Text Solution

    |

  2. What is a harmonic wave function ?

    Text Solution

    |

  3. Can the wave functions y=r(x-vt) or y=rlog(x+vt), y=rsqrt(vt-x) repres...

    Text Solution

    |

  4. Flash and thunder are produced simultaneously. But thunder is heard a ...

    Text Solution

    |

  5. Can two astronauts talk on the surface of moon as they do on earth?Why...

    Text Solution

    |

  6. What are the essential points of difference between sound and light wa...

    Text Solution

    |

  7. When we start filling an empty bucket with water, the pitch of sound p...

    Text Solution

    |

  8. Why does a tuning fork have two prongs?

    Text Solution

    |

  9. Which factors determine the frequency of a tuning fork ?

    Text Solution

    |

  10. Of what material is the tuning fork made and why?

    Text Solution

    |

  11. Why is a sonometer box provided with holes?

    Text Solution

    |

  12. What are the conditions for resonance of air column with a tuning fork...

    Text Solution

    |

  13. Sound travels faster on a rainy day than on a dry day. Does it imply t...

    Text Solution

    |

  14. A balloon is filled with CO(2). How will it behave as a lens for sound...

    Text Solution

    |

  15. Why sound can be hear more distinctly at a greater distance over water...

    Text Solution

    |

  16. What are fundamental note and overtones?

    Text Solution

    |

  17. What are harmonics?

    Text Solution

    |

  18. A bugle has no valves. How can we sound different notes on it?

    Text Solution

    |

  19. Why all the stinged instruments are provided with hollow boxes?

    Text Solution

    |

  20. Where will a person hear maximum sound, at node or antinode?

    Text Solution

    |