Home
Class 11
PHYSICS
Statement-1 : The superposition of the w...

Statement-1 : The superposition of the waves `y_(1) = A sin(kx - omega t)` and `y_(2) = 3A sin (kx + omega t)` is a pure standing wave plus a travelling wave moving in the negative direction along X-axis
Statement-2 : The resultant of `y_(1)` & `y_(2)` is `y=y_(1) + y_(2) = 2A sin kx cos omega t + 2A sin (kx + omega t)`.

A

Statement-1 is true, Statement-2 is true , Statement-2 is correct explanation for Statement-7

B

Statement-1 is true,Statement-2 is true , Statement-2 is NOT a correct explanation for Statement-7

C

Statement-1 is true, Statement-2 is false

D

Statement-1 is false, Statement-2 is true

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • WAVES AND OSCILLATIONS

    ALLEN |Exercise Part-1(Exercise-04)[A]|29 Videos
  • WAVES AND OSCILLATIONS

    ALLEN |Exercise Part-1(Exercise-04)[B]|13 Videos
  • WAVES AND OSCILLATIONS

    ALLEN |Exercise Part-1(Exercise-02)|19 Videos
  • SEMICONDUCTORS

    ALLEN |Exercise Part-3(Exercise-4)|50 Videos

Similar Questions

Explore conceptually related problems

Phase difference between two waves y _(1) = A sin (omega t - kx) and y _(2)= A cos (omega t - kx) is ……

When two waves y _(1) =A sin (omega t + (pi)/(6)) and y _(2) = A cos (omega t) superpose, find amplitude of resultant wave.

Displacement of two light waves are e_(1)=4 sin omega t and e_(2)= 3 sin (omegat + pi/2) . so amplitude of resultant wave = .....

In a wave motion y = sin (kx - omega t),y can represent :-

When two displacements represented by y_(1)= a sin(omega t)" and "y_(2)= b cos (omega t) are superimposed the motion is…….

Two waves are given by y_(1)=asin(omegat-kx) and y_(2)=a cos(omegat-kx) . The phase difference between the two waves is -

If two waves represented by y_(1)=4sinomegat and y_(2)=3sin(omegat+(pi)/(3)) interfere at a point find out the amplitude of the resulting wave

The equation of a wave is given by Y = A sin omega ((x)/(v) - k) , where omega is the angular velocity and v is the linear velocity. Find the dimension of k .

A transverse wave travelling along the positive x-axis, given by y=A sin (kx - omega t) is superposed with another wave travelling along the negative x-axis given by y=A sin (kx + omega t) . The point x=0 is

Two mechanical waves, y_(1) = 2 sin 2 pi (5- t - 2x) & y_(2) = 4 sin 2 pi(fax + 100 t) propagate in a medium with same speed.

ALLEN -WAVES AND OSCILLATIONS-Part-1(Exercise-03)
  1. Statement-1 : Infrasonic waves are generally produced by large vibrati...

    Text Solution

    |

  2. Statement-1 : Partially transwave waves are possible on a liquid surfa...

    Text Solution

    |

  3. Statement-1 : The superposition of the waves y(1) = A sin(kx - omega t...

    Text Solution

    |

  4. Statement-1 : Mechanical transverse waves cannot be generated in gaseo...

    Text Solution

    |

  5. Statement-1 : Description of sound as pressure wave is preferred over ...

    Text Solution

    |

  6. Statement-1 : During thunderstrom, light is seen much earlier than the...

    Text Solution

    |

  7. Statement-1 : The flash of lightening is seen before the sound of thun...

    Text Solution

    |

  8. Statement-1 : Earthquakes cause vast devastation. Sometimes short and ...

    Text Solution

    |

  9. Statement-1 : Shock waves produced by supersonic aircraft may be visib...

    Text Solution

    |

  10. Statement-1 : In the case of a stationary wave, a person hear a loud s...

    Text Solution

    |

  11. Statement I: waves genrated in a metal piece can be transverse or long...

    Text Solution

    |

  12. Statement-1 : A balloon filled with CO(2) gas acts as a coverging lens...

    Text Solution

    |

  13. Statement-1 : Node of pressure wave is formed at the open end of an or...

    Text Solution

    |

  14. Assertion:- Transvers waves are produced in a very long string fixed a...

    Text Solution

    |

  15. Statement-1 : When two vibrating tuning forks have f(1) = 300 Hz and f...

    Text Solution

    |

  16. Statement-1 : The fundamental frequency of an organ pipe increases as ...

    Text Solution

    |

  17. The figure represents the instantaneous picture of a transverse wave t...

    Text Solution

    |

  18. The figure represents the instantaneous picture of a transverse wave t...

    Text Solution

    |

  19. The figure represents the instantaneous picture of a transverse wave t...

    Text Solution

    |

  20. The figure represents the instantaneous picture of a transverse wave t...

    Text Solution

    |