Home
Class 11
PHYSICS
Two wave are represented by the equation...

Two wave are represented by the equations `y_(1)=asinomegat` ad `y_(2)=acosomegat` the first wave

A

leads the second by `pi`

B

lags the second by `pi`

C

leads the second by `(pi)/(2)`

D

lags the second by `(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
`y_(1) = a sin omega t`
`y_(2) = a cos omega t = a sin(omega t + pi//2)`
`y_(1)` lags `y_(2)` behind by phase `(pi)/(2)`
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)|50 Videos

Similar Questions

Explore conceptually related problems

Two waves are represented by the equations y _(1) = a sin (omega t + kx + 0.57)m and y_(2) =a cos (omega t + kx) m, where x is in meter and t in sec. The phase difference between them 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

A wave is represented by the equation y = a sin(kx + omega t) is superimposed with another wave to form a stationary wave such that the point x = 0 is a node. Then the equation of other wave is :-

Two waves are represented by: y_(1)=4sin404 pit and y_(2)=3sin400 pit . Then :

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

Two simple harmonic motion are represented by the equation y_(1)= 0.1 sin(100 pi t+(pi)/(3)) and y_(2)= 0.1 cos pi t . The phase difference of the velocity of particle-1 with respect to the velocity of particle-2 is…………

Two simple harmonic are represented by the equation y_(1)=0.1 sin (100pi+(pi)/3) and y_(2)=0.1 cos pit . The phase difference of the velocity of particle 1 with respect to the velocity of particle 2 is.

Statement-1 : Two longitudinal waves given by equation y_(1)(x,t)=2asin(omegat-kx) and y_(2)(x,t)=a sin (2 omegat-2kx) will have equal intensity. Statement-2 : Intensity of waves of given frequency in same medium is proportional to square of amplitude only.

Two rails are represented by the equations x+2y-4=0 and 2x+4y-12=0 . Represent this situation geometrically.

ALLEN -WAVES AND OSCILLATIONS-Part-1(Exercise-01)
  1. A wave of frequency 500 HZ travels between X and Y, a distance of 600 ...

    Text Solution

    |

  2. The distance between two consecutive crests in a wave train produced i...

    Text Solution

    |

  3. Two wave are represented by the equations y(1)=asinomegat ad y(2)=acos...

    Text Solution

    |

  4. Two waves travelling in a medium in the x-direction are represented by...

    Text Solution

    |

  5. The displacement of partcles in a string streched in the x-direction i...

    Text Solution

    |

  6. The displacement y of a particle executing periodic motion is given by...

    Text Solution

    |

  7. A transverse wave is derscried by the equation y=y(0) sin 2 pi (ft - (...

    Text Solution

    |

  8. If two S.H.M.'s are represented by equation y(1) = 10 "sin" [3pit+(pi)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. Ratio of intensities of two waves is 9:1. If these two are superimpose...

    Text Solution

    |

  14. The extension in a string, obeying Hooke's law, is x. The speed of sou...

    Text Solution

    |

  15. The linear density of a vibrating string is 1.3 xx 10^(-4) kg//m A tra...

    Text Solution

    |

  16. A copper wire is held at the two ends by rigid supports. At 30^(@)C, t...

    Text Solution

    |

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

    Text Solution

    |

  18. A uniform rope having some mass hinges vertically from a rigied suppor...

    Text Solution

    |

  19. A wave pulse on a string has the dimension shown in figire. The waves ...

    Text Solution

    |

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

    Text Solution

    |