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 `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?

A

`0.5 ms^(-1)`

B

`2.0 ms^(-1)`

C

`1.0 ms^(-1)`

D

`4.0 ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • JEE MOCK TEST 4

    NTA MOCK TESTS|Exercise PHYSICS - SUBJECTIVE NUMERICAL|5 Videos
  • JEE MOCK TEST 6

    NTA MOCK TESTS|Exercise PHYSICS|25 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.

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?

The displacement y of a wave travelling in the x-direction is given by y = 10^(04) sin ((600t - 2x + (pi)/(3))meters where x is expressed in meters and t in seconds. The speed of the wave-motion, in ms^(-1) , is

NTA MOCK TESTS-JEE MOCK TEST 5-PHYSICS
  1. The amplitude of a wave disturbance propagating in the positive x-dire...

    Text Solution

    |

  2. Twelve resistors each of resistance 1 Omega are connected in the circu...

    Text Solution

    |

  3. A uniform rod of length 2.0 m is suspended through its endpoint about ...

    Text Solution

    |

  4. There is a hole at the bottom of a large open vessel. If water is fill...

    Text Solution

    |

  5. A simple pendulum with a bob of mass m and a conducting wire of length...

    Text Solution

    |

  6. The angular velocity of a particle is vec(w) = 4hati + hatj - 2hatk ab...

    Text Solution

    |

  7. A thermally insulated piece of metal is heated under atmospheric press...

    Text Solution

    |

  8. An 8 kg metal block of dimensions 16 cm xx 8 cm xx 6 cm is lying on a ...

    Text Solution

    |

  9. Assuming f to be the frequency of the electromagnetic wave correspondi...

    Text Solution

    |

  10. A particle of unit mass undergoes one-dimensional motion such that its...

    Text Solution

    |

  11. A massive vertical wall is approaching a man at a speed mu. When it is...

    Text Solution

    |

  12. In Young's double-slit experiment, the ratio of intensities of a brigh...

    Text Solution

    |

  13. If the distance between the Earth and the sun shrinks to half the pres...

    Text Solution

    |

  14. If r is the total radius and v is the orbital velocity of an electron ...

    Text Solution

    |

  15. A wire is bent in the form of a circular arc of radius r with a straig...

    Text Solution

    |

  16. Uniform rod AB is hinged at end A in horizontal position as shown in t...

    Text Solution

    |

  17. There are two radioactive substance A and B. Decay constant of B is tw...

    Text Solution

    |

  18. A student performs an experiment to determine the Young's modulus of a...

    Text Solution

    |

  19. An aircraft loops the loop of radius R = 500 m with a constant velocit...

    Text Solution

    |

  20. Given R(1) = 5.0 +- 0.2 Omega, and R(2) = 10.0 +- 0.1 Omega. What is t...

    Text Solution

    |