Home
Class 12
PHYSICS
The wave function of a pulse is given by...

The wave function of a pulse is given by `y=(5)/((4x+6t)^(2))` where x and y are in metre and t is in second :-
(i) Identify the direction of propagation
(ii) Determine the wave velocity of the pulse

Text Solution

Verified by Experts

The correct Answer is:
(i) `-xaxis` (ii) `-1.5` m/s
Promotional Banner

Topper's Solved these Questions

  • RACE

    ALLEN |Exercise Basic Maths (Wave Motion & Dopplers Effect) (Superposition of waves interfarence, beats)|15 Videos
  • RACE

    ALLEN |Exercise Basic Maths (Wave Motion & Dopplers Effect) (Stationary waves & doppler effect, beats)|25 Videos
  • RACE

    ALLEN |Exercise Basic Maths (Oscillations) (Simple pendulum and types of SHM)|17 Videos
  • NEWTONS LAWS OF MOTION

    ALLEN |Exercise EXERCISE-III|28 Videos
  • SIMPLE HARMONIC MOTION

    ALLEN |Exercise Example|1 Videos

Similar Questions

Explore conceptually related problems

A travelling wave pulse is given by y=(4)/(3x^(2)+48t^(2)+24xt+2) where x and y are in metre and t is in second. The velocity of wave is :-

The displacement of a particle is given by x = (t-2)^(2) where x is in metre and t in second. The distance covered by the particle in first 4 seconds is

For a progressive wave, y = 5 sin (0.01 x - 2t) (where x and y are in cm and t is in s). What will be its speed od propagation ?

In the equation of motion of waves in x-direction is given by y= 10^(-4) sin(600t-2x+(pi)/(3)) where x and y are in metre and t is in second, then the velocity of wave will be………… ms^(-1) .

A wave disturbance in a medium is described by y(x, t) = 0.02 cos(50pit + (pi)/(2))cos(10pix) where x and y are in meter and t is in second

The velocity of a particle is given by v=(5t^(2)-6t+5)m//s where t is time in seconds. Find its acceleration at t=4 second.

The velocity of a particle is given by v=(4t^(2)-4t+5)m//s where t is time in seconds. Find its acceleration at t=4 second.

The velocity of a particle is given by v=(5t^(2)-2t+9)m//s where t is time in seconds. Find its acceleration at t=4 second.

A string vibrate according to the equation y = 5 sin ((pi x)/(3)) cos (40 pi t) where x and y in cm's and t is in second. (i) What is the equation of incident and reflected wave ? (ii) What is the distance between the adjacent nodes ? (iii) What is the velocity of the particle of the string at the position x = 1.5 cm when t = (9)/(8) sec ?

The position of a particle is given by x=7+ 3t^(3) m and y=13+5t-9t^(2)m , where x and y are the position coordinates, and t is the time in s. Find the speed (magnitude of the velocity) when the x component of the acceleration is 36 m//s^(2) .

ALLEN -RACE-Basic Maths (Wave Motion & Dopplers Effect) (Fundamental)
  1. If the intensity of sound is increased by a factor of 30, by how many ...

    Text Solution

    |

  2. A travelling wave pulse is given by y=(4)/(3x^(2)+48t^(2)+24xt+2) ...

    Text Solution

    |

  3. The wave function of a pulse is given by y=(5)/((4x+6t)^(2)) where x a...

    Text Solution

    |

  4. Two particle of medium disturbed by the wave propagation are at x(1)=0...

    Text Solution

    |

  5. Two small boats are 10m apart on a lake. Each pops up and down with a ...

    Text Solution

    |

  6. A uniform rope of mass M=0.1kg and length L=10m hangs from the celling...

    Text Solution

    |

  7. A uniform rope of length 12 m and mass 6 kg hangs vertically from a ri...

    Text Solution

    |

  8. The displacement wave in a string is y=(3 cm)sin6.28(0.5x-50t) where x...

    Text Solution

    |

  9. A sinusoidal wave propagates along a string. In figure (a) and (b) 'y'...

    Text Solution

    |

  10. Graph shows three waves that are separately sent along a string that i...

    Text Solution

    |

  11. The following figure depicts a wave travelling in a medium. Which pair...

    Text Solution

    |

  12. A transverse periodic wave ona strin with a linear mass density of 0.2...

    Text Solution

    |

  13. The figure shows four progressive wave A,B,C & D. It can be concluded ...

    Text Solution

    |

  14. Under similar conditions of temperature and pressure, In which of the ...

    Text Solution

    |

  15. The velocity of sound in a gas at temperature 27^@C is V then in the s...

    Text Solution

    |

  16. The frequency of a tunning fork is 384 per second and velocity of soun...

    Text Solution

    |

  17. Ultrasonic, infrasonic and audio waves travel though a medium with spe...

    Text Solution

    |

  18. Consider a wave represented by y=cos(500t-70x) where y is in millimetr...

    Text Solution

    |

  19. The frequency of a man's voice is 300 Hz and its wavelength is 1 meter...

    Text Solution

    |

  20. A light pointer fixed to one prong of a tuning fork touches gnetly a s...

    Text Solution

    |