Home
Class 11
PHYSICS
The equation of displacement of two wave...

The equation of displacement of two waves are `y_(1)=10sin[3pit+(pi)/(3)]` and `y_(2)=5(sin3pit+sqrt(3)cos3pit]`. Find the ratio of their amplitudes.

A

`1 : 2`

B

`2 : 1`

C

`1 : 1`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
`y_(1)=10sin(3pit+(pi)/(3)),y_(2)=`
`5(sin3pit+sqrt(3)cos 3 pit)`
`=10((1)/(2)sin 3pit+(sqrt(3))/(2)cos 3pit)=10sin(3pit+(pi)/(3))`
`:. A_(1)//A_(2)=10//10=1:1`.
Promotional Banner

Topper's Solved these Questions

  • WAVES AND OSCILLATIONS

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

  • WAVES AND OSCILLATIONS

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

  • WAVES AND OSCILLATIONS

    ALLEN|Exercise Part-3(Example)|32 Videos

  • SEMICONDUCTORS

    ALLEN|Exercise Part-3(Exercise-4)|51 Videos

Similar Questions

Explore conceptually related problems

The equation of displacement of two waves are given as y_(1) = 10 sin( 3 pi t + (pi)/(3)) , y_(2) = 5 [ sin 3 pi t + sqrt(3) cos 3 pi t] Then what is the ratio of their amplitudes

The equation of displacement of two waves are given as y_(1) = 10 sin( 3 pi t + (pi)/(3)) , y_(2) = 5 [ sin 3 pi t + sqrt(3) cos 3 pi t] Then what is the ratio of their amplitudes

The equation of displacement of two waves are given as y_(1) = 10 sin( 3 pi t + (pi)/(3)) , y_(2) = 5 [ sin 3 pi t + sqrt(3) cos 3 pi t] Then what is the ratio of their amplitudes

If two S.H.M.'s are represented by equation y_(1) = 10 "sin" [3pit+(pi)/(4)] and y_(2) = 5[sin(3pit)+sqrt(3)cos(3pit)] then find the ratio of their amplitudes and phase difference in between them.

Two particle are executing SHMs .The equations of their motions are y_(1)=10"sin"(omegat+(pi)/(4)) " and "y_(2)=5 "sin"(omegat+(sqrt(3)pi)/(4)) What is the ratio of their amplitudes.

If two SHMs are represented by equations y_(1) = 5 sin (2pi t + pi//6) and y_(2) = 5 [sin (3pi) + sqrt3 cos (3pi t)] . Find the ratio of their amplitudes.

Two simple harmonic motions are represented by the equations. y_(1)=10"sin"(pi)/(4)(12t+1),y_(2)=5(sin3pt+sqrt(3)cos3pt) the ratio of their amplitudes is

Two simple harmonic motions are represented by the equations y_(1) = 10 sin(3pit + pi//4) and y_(2) = 5(sin 3pit + sqrt(3)cos 3pit) their amplitude are in the ratio of ………… .

If two SHMs are represented by equations y_1 = 4 sin[3 pi t + ( pi /3)], y_2 = 4 [sin(3 pi t) + sqrt 3 cos (3 pi t)], then the ratio of their amplitudes is

If two SHMs are repersented by y_(1) = 10 sin (4 pi + pi//2) and y_(2) = 5 (sin 2 pi t +sqrt 8 cos 2 pi t) , compare their amplitudes .

ALLEN-WAVES AND OSCILLATIONS-Part-1(Exercise-01)
  1. The displacement of a particle in a periodic motion is given by y=4 "c...

    Text Solution

    |

  2. A travelling wave is described by the equation y = y(0) sin2 pi ((ft -...

    Text Solution

    |

  3. The equation of displacement of two waves are y(1)=10sin[3pit+(pi)/(3)...

    Text Solution

    |

  4. A plane progressive wave is represented by the equation y= 0.25 cos (2...

    Text Solution

    |

  5. Depedence is disturbances due to two waves on time is shown in the fig...

    Text Solution

    |

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

    Text Solution

    |

  7. The resultant amplitude, when two waves of two waves of same frequency...

    Text Solution

    |

  8. The ratio of intensities of two waves is 9 : 1 When they superimpose, ...

    Text Solution

    |

  9. The tension in a string, obeying Hooke's law, is x. The speed of sound...

    Text Solution

    |

  10. The linear density of a vibrating string is 1.3xx10^(-4) kg m^(-1) . A...

    Text Solution

    |

  11. A copper wire is held at the two ends by rigid supports. At 30^@C, the...

    Text Solution

    |

  12. A steel wire of length 60 cm and area of cross section 10^(-6)m^(2) is...

    Text Solution

    |

  13. A Uniform rope having mass m hags vertically from a rigid support. A t...

    Text Solution

    |

  14. A wave pulse on a string on a string has the dimension shown in figure...

    Text Solution

    |

  15. A plane wave y =a sin (bx + ct) is incident on a surface. Equation of ...

    Text Solution

    |

  16. The equation y=a sin 2 pi//lamda (vt -x) is expression for :-

    Text Solution

    |

  17. Standing waves are produced in a 10 m long stretched string. If the st...

    Text Solution

    |

  18. A wave is represented by the equation y = a sin(kx - omega t) is super...

    Text Solution

    |

  19. A standing wave having 3 node and 2 antinode is formed between two ato...

    Text Solution

    |

  20. A string is cut into three parts, having fundamental frequencies n(1),...

    Text Solution

    |