Home
Class 12
PHYSICS
The amplitude of a wave disturbance prop...

The amplitude of a wave disturbance propagating in the positive x-direction is given by `y = (1)/((1 + x))^(2)` at time `t = 0` and by `y = (1)/([1+(x - 1)^(2)])` at `t = 2 seconds`, `x and y` are in meters. The shape of the wave disturbance does not change during the propagation. The velocity of the wave is ............... m//s`.

A

`0.5`

B

1

C

2

D

4

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF MATTER,FLUIDS

    D MUKHERJEE|Exercise Type 2|35 Videos

Similar Questions

Explore conceptually related problems

The displacement of a wave disturbance propagating in the positive x-direction is given by y =(1)/(1 + x^(2)) at t = 0 and y =(1)/(1 +(x - 1)^(2)) at t =2s where, x and y are in meter. The shape of the wave disturbance does not change during the propagation. what is the velocity of the wave?

The amplitude of wave disturbance propagating in the positive x-direction is given by y=(1)/((1+x)^(2)) at time t=0 and y=(1)/(1+(x-2)^(2)) at t=1s, where x and y are in metres. The shape of wave does not change during the propagation. The velocity of the wave will be ____m/s.

The shape of a wave propagating in the positive x or negative x-direction is given y=1/sqrt(1+x^(2)) at t=0 and y=1/sqrt(2-2x+x^(2)) at t=1s where x and y are in meters the shape the wave disturbance does not change during propagation find the velocity of the wave

The amplitude of a wave disturbance propagating along positive X-axis is given by =1/(1+x^(2)) at t=0 and y=1/[1+(x-2)^(2)] at t=4 s where x and y are in metre. The shape of wave diturbance does not change with time. The velocity of the wave is

The displacement function of a wave travelling along positive x-direction is y =(1)/(2 + 3x^(2))at t=0 and by y = (1)/(2) + 3(x - 2)^(2)) at t = 2 s , where y and x are in metre. The velocity of the wave is

The displacement function of a wave traveling along positive x-direction is y=(1)/(2+2x^(2)) at t=0 and by y=(1)/(2+2(x-2)^(2)) at t=2s, where y and x are in metre. The velocity of the wave is:

The shape of a wave is represented by y=(1)/(1+x^(2)) at t=0 and y=(1)/(1+(x-1)^(2)) at t=2s . Assume that the shape of the wave remains unaltered as it advances in the medium. Find the velocity of the wave and represent the wave graphically.

Two wave functions in a medium along x direction are given by- y_1 = 1/(2+(2x-3t^(2))) m " "y_2 = -1/(2+ (2x+3t-6)^(2)) m where x is in metres and t is in seconds

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

A travelling wave pulse is given by y = (10)/(5 + (x + 2t)^(2)) Here, x and y are in meter and t in second. In which direction and with what velocity is the pulse propagation. What is the ampitude of pulse?

D MUKHERJEE-SOUND WAVES-All Questions
  1. A sine wave has an amplitude A and wavelength lambda. Let V be the wav...

    Text Solution

    |

  2. The equation y=A cos^(2) (2pi nt -2 pi (x)/(lambda)) represents a wave...

    Text Solution

    |

  3. The amplitude of a wave disturbance propagating in the positive x-dire...

    Text Solution

    |

  4. A wave representing by the equation y = a cos(kx - omegat) is suerpose...

    Text Solution

    |

  5. A travelling wave in a stretched string is described by the equation y...

    Text Solution

    |

  6. A metal string is fixed between rigid supports. It is initially at neg...

    Text Solution

    |

  7. Two identical strings are stretched at tensions T(A) and T(B). A truni...

    Text Solution

    |

  8. The tension of a string is inceased by 44%. If its frequency of vibrat...

    Text Solution

    |

  9. In a sonometer wire, the tension is maintained by suspending a 50.7 kg...

    Text Solution

    |

  10. A string of length 20 cm and linear mass density 0.40 g//cm is fixed a...

    Text Solution

    |

  11. A string A has double the length, double the tension, double the diame...

    Text Solution

    |

  12. The extension in a string obeying Hooke's law is x. The speed of sound...

    Text Solution

    |

  13. A cylinderical tube open at both ends, has a fundamental frequency f i...

    Text Solution

    |

  14. An open pipe is suddenly closed at one end with the result that the fr...

    Text Solution

    |

  15. The third overtone of an open organ pipe of length l(0) has the same f...

    Text Solution

    |

  16. A pipe of lengh 1m is closed at one end. The velocity sound in air is ...

    Text Solution

    |

  17. An organ pipe filled with a gas at 27^(@) C resonates at 400 Hz in its...

    Text Solution

    |

  18. A point source emits sound equally in all directions in a non-absorbin...

    Text Solution

    |

  19. A source of sound is in the shape of a long narrow cylinder radiating ...

    Text Solution

    |

  20. Two identical sound S1 and S2 reach at a point P is phase. The resulta...

    Text Solution

    |