Home
Class 11
PHYSICS
Determine resultant amplitude after supe...

Determine resultant amplitude after super position of given four waves with help of phasor diagram. `y_(1) = 15 sin omega t mm,y_(2) = 9 sin (omega t -pi//2) mm,y_(3)=7 sin (omega t +pi//2)mm` & `y_(4) = 13 sin omega t mm`.

Text Solution

Verified by Experts

The correct Answer is:
`2.83 mm`


`A = 2 sqrt(2) = 2.828 mm ~= 2.83 mm`
Promotional Banner

Topper's Solved these Questions

  • WAVES AND OSCILLATIONS

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

    ALLEN |Exercise Part-1(Exercise-05)[A]|28 Videos
  • WAVES AND OSCILLATIONS

    ALLEN |Exercise Part-1(Exercise-03)|31 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 ……

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 = .....

Following are equations of four waves : (i) y_(1) = a sin omega ( t - (x)/(v)) (ii) y_(2) = a cos omega ( t + (x)/(v)) (iii) z_(1) = a sin omega ( t - (x)/(v)) (iv) z_(1) = a cos omega ( t + (x)/(v)) Which of the following statements are correct ?

Find the resulting amplitude A' and the phase of the vibrations delta S = Acos(omegat) + A/2 cos (omegat + pi/2) + A/2 cos (omega t + pi) + A/8 cos (omegat + (3pi)/(2)) = A' cos (omega t + delta)

Out of the following functions representing motion of a particle which represent SHM? (a) y= sin omega t- cos omega t (b) y= sin^(2) omega t (c ) y= 5cos ((3pi)/(4)-3 omega t) (d) y= 1+ omega t+ omega^(2) t^(2)

A particle executes two types of SHM. x_(1) = A_(1) sin omega t " and "x_(2) = A_(2) sin [omega t+(pi)/(3)] , then find the displacement at time t=0.

The displacement of a particle varies with time according to the relation y= a sin omega t+b cos omega t ……………

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

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

A particle executes two types of SHM. x_(1) = A_(1) sin omega t " and "x_(2) = A_(2) sin [omega t+(pi)/(3)] , then find the maximum acceleration of the particle.

ALLEN -WAVES AND OSCILLATIONS-Part-1(Exercise-04)[A]
  1. A stone dropped from the top of a tower of height 300 m high splashes ...

    Text Solution

    |

  2. Determine resultant amplitude after super position of given four waves...

    Text Solution

    |

  3. Calculate the ratio of intensity of wave train A to wave train B.

    Text Solution

    |

  4. Two audio speakers are kept some distance apart and are driven by the ...

    Text Solution

    |

  5. One end of a long string of linear mass density 8.0 xx 10^(-3) kg m^(-...

    Text Solution

    |

  6. A uniform rope of length 12 mm and mass 6 kg hangs vertically from a r...

    Text Solution

    |

  7. A steel wire of length 1 m and mass 0.1 kg and having a uniform cross-...

    Text Solution

    |

  8. In the arrangement shown in figure, the string has a mass of 4.5 g. Ho...

    Text Solution

    |

  9. Figure shows a string of linear mass density 1.0g cm^(-1) on which a w...

    Text Solution

    |

  10. A string vibrate according to the equation y = 5 sin ((pi x)/(3)) cos ...

    Text Solution

    |

  11. A bat emits ultrasonic sound of frequency 100 kHz in air. If this soun...

    Text Solution

    |

  12. The vibrations of a string of length 60cm fixed at both ends are repre...

    Text Solution

    |

  13. Given below are some functions of x and t to represent the displacemen...

    Text Solution

    |

  14. If the bulk modulus of water is 4000 MPa, what is the speed of sound i...

    Text Solution

    |

  15. A steel rod 100 cm long is clamped at its middle. The fundamental freq...

    Text Solution

    |

  16. Two successive resonance frequencies in an open organ pipe are 1944 Hz...

    Text Solution

    |

  17. A flute which we treat as a pipe open at both ends is 60 cm long. (a) ...

    Text Solution

    |

  18. A string 25cm long and having a mass of 2.5 gm is under tension. A pip...

    Text Solution

    |

  19. Two tuning fork having frequency 300 Hz & 305 Hz produce beat phenomen...

    Text Solution

    |

  20. Two sitar strings A and B playing the note 'Dha' are slightly out of ...

    Text Solution

    |