Home
Class 11
PHYSICS
Does a travelling wave in one dimension ...

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?

Text Solution

AI Generated Solution

To determine whether the function \( y = f(ax \pm bt) \) represents a traveling wave, we can follow these steps: ### Step 1: Understand the Wave Equation A traveling wave in one dimension can generally be represented by the equation: \[ y = f(\omega t \pm kx) \] where \( \omega \) is the angular frequency and \( k \) is the wave number. ...
Promotional Banner

Topper's Solved these Questions

  • TRAVELLING WAVES

    CENGAGE PHYSICS ENGLISH|Exercise Subjective|16 Videos
  • TRAVELLING WAVES

    CENGAGE PHYSICS ENGLISH|Exercise Single Correct|62 Videos
  • TRAVELLING WAVES

    CENGAGE PHYSICS ENGLISH|Exercise Exercise 5.1|9 Videos
  • TRANSMISSION OF HEAT

    CENGAGE PHYSICS ENGLISH|Exercise Single correct|9 Videos
  • VECTORS

    CENGAGE PHYSICS ENGLISH|Exercise Exercise Multiple Correct|5 Videos

Similar Questions

Explore conceptually related problems

you have learnt that a travelling wave in one dimension is represented by a function y = f(x,t) where x and t must appear in the combination ax +- bt or x - vt or x + vt ,i.e. y = f (x +- vt) . Is the converse true? Examine if the folliwing function for y can possibly represent a travelling wave (a) (x - vt)^(2) (b) log[(x + vt)//x_(0)] (c) 1//(x + vt)

you have learnt that a travelling wave in one dimension is represented by a function y = f(x,t) where x and t must appear in the combination ax +- bt or x - vt or x + vt ,i.e. y = f (x +- vt) . Is the converse true? Examine if the folliwing function for y can possibly represent a travelling wave (a) (x - vt)^(2) (b) log[(x + vt)//x_(0)] (c) 1//(x + vt)

Which of the following does not represent a travelling wave

Which of the following wave functions does not represent a travelling wave ?

In ECG, what does T wave represent?

Which of the following function does not represent the equation of a standing wave?

Given below are some functions of x and t to represent the displacement (transverse or longitudinal) of an elastic wave. State which of these represent (i) a travelling wave, (ii) a stationary wave or (iii) none at all y = 2 cos (3x) sin (10t)

Given below are some functions of x and t to represent the displacement (transverse or longitudinal) of an elastic wave. State which of these represent (i) a travelling wave, (ii) a stationary wave or (iii) none at all? (a) y=2cos(3x)sin(10t) (b) y=2sqrt(x-vt) (c) y=3sin(5x-0.5t)+4cos(5x-0.5t) (d) y=cosx sint +cos2x sin2t

Given below are some functions of x and t to represent the displacement (transverse or longitudinal) of an elastic wave. State which of these represent (i) a travelling wave, (ii) a stationary wave or (iii) none at all? (a) y=2cos(3x)sin(10t) (b) y=2sqrt(x-vt) (c) y=3sin(5x-0.5t)+4cos(5x-0.5t) (d) y=cosx sint +cos2x sin2t

Given below are some functions of x and t to represent the displacement (transverse or longitudinal) of an elastic wave. State which of these represent (i) a travelling wave, (ii) a stationary wave or (iii) none at all? (a) y=2cos(3x)sin(10t) (b) y=3sin(5x-0.5t)+4cos(5x-0.5t) (c) y=cosx sint +cos2x sin2t

CENGAGE PHYSICS ENGLISH-TRAVELLING WAVES-Exercise 5.2
  1. Does the equation y=+sqrt(16-(2x-t)^(2), (2x-t)lt4 or (2x-t)gt-4, ...

    Text Solution

    |

  2. The equation of a travelling wave is given by y=+(b)/(a)sqrt(a^(2)-(...

    Text Solution

    |

  3. Does a travelling wave in one dimension represented by a function of ...

    Text Solution

    |

  4. A wave is propagating on a long stretched string along its length take...

    Text Solution

    |

  5. Equation of a transverse wave travelling in a rope is given by y=5si...

    Text Solution

    |

  6. The length of the wire shown in figure between the pulley is 1.5 m and...

    Text Solution

    |

  7. The equation of a travelling sound wave is y = 6.0 sin (600 t - 1.8 x)...

    Text Solution

    |

  8. The equation of a travelling sound wave is y = 6.0 sin (600 t - 1.8 x)...

    Text Solution

    |

  9. Spherical waves are emitted from a 1.0 W source in an isotropic non-ab...

    Text Solution

    |

  10. A wave travels out in all direction from a point source. Justify the e...

    Text Solution

    |

  11. For plane waves in the air of frequency 1000 Hz and the displace ampli...

    Text Solution

    |

  12. A heavy uniform rope is held vertically and is tensioned by clamping i...

    Text Solution

    |

  13. What is the phase diffrence between the particle 1 and 2 located as sh...

    Text Solution

    |

  14. Show that (a)y=(x+vt)^(2),(b)y=(x+t)^(2),(c )y=(x-vt)^(2), and (d) y=2...

    Text Solution

    |

  15. For a travelling harmonic wave y=2.0 cos(10t-0.0080x+0.35), where x an...

    Text Solution

    |

  16. The shows two snapshots, each of a wave travelling along a partic...

    Text Solution

    |

  17. A circular loop of string rotates about its axis on a frictionless hor...

    Text Solution

    |

  18. A sinusoidal wave is propagating along a streched string that lies alo...

    Text Solution

    |

  19. A simple harmonic oscillator at the point x=0 genrates a wave on a rop...

    Text Solution

    |

  20. A piano wire with mass 3.00 g and length 80.0 cm is stretched with a t...

    Text Solution

    |