Home
Class 12
PHYSICS
When two progressive waves y(1)=4sin(2x-...

When two progressive waves `y_(1)=4sin(2x-6t)andy_(2)=3sin(2x-6t-(pi)/(2))` superimpose, the amplitude of the resultant wave is

Text Solution

Verified by Experts

The correct Answer is:
A

`V = omegasqrt(A^(2) - y^(2))`
`V_(P) = 2pifsqrt(A^(2) - y^(2))`
`V_(P) = 2pi((V)/(lambda)) sqrt(A^(2) - y^(2)) = (2pi)/(0.5) xx 0.1 sqrt((0.1)^(2) - (0.05)^(2))`
`V_(P) = (sqrt(3)pi)/(50) j m//s`
Promotional Banner

Topper's Solved these Questions

  • TRAVELLING WAVES

    RESONANCE ENGLISH|Exercise Exercise- 3 PART II|7 Videos
  • TEST SERIES

    RESONANCE ENGLISH|Exercise PHYSICS|130 Videos
  • WAVE ON STRING

    RESONANCE ENGLISH|Exercise Exercise- 3 PART II|7 Videos

Similar Questions

Explore conceptually related problems

When two progressive waves y_(1) = 4 sin (2x - 6t) and y_(2) = 3 sin (2x - 6t - (pi)/(2)) are superimposed, the amplitude of the resultant wave is

When two progressive waves y_(1) = 4 sin (2x - 6t) and y_(2) = 3 sin (2x - 6t - (pi)/(2)) are superimposed, the amplitude of the resultant wave is

two waves y_1 = 10sin(omegat - Kx) m and y_2 = 5sin(omegat - Kx + π/3) m are superimposed. the amplitude of resultant wave 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 displacement of two interfering light waves are y_(1)=4 sin omega t" and "y_(2)= 3 cos (omega t) . The amplitude of the resultant waves is (y_(1)" and "y_(2) are in CGS system)

Two waves represented by y=a" "sin(omegat-kx) and y=a" " sin(omega-kx+(2pi)/(3)) are superposed. What will be the amplitude of the resultant wave?

Two waves represented by y=a" "sin(omegat-kx) and y=a" " sin(omegat-kx+(2pi)/(3)) are superposed. What will be the amplitude of the resultant wave?

Two plane progressive waves are given as (y_1 = A_1 sin) (Kx -omrga t) and [y_2 = A_2 sin (Kx - omega t + phi)] are superimposed. The resultant wave will show which of the following phenomenon?

Two waves, whose equations are y_(1)=4sin(20t-(x)/(3))m and y_(2)=3sin(20t-(x)/(3)) m, are superposed in a medium. Now,

Equations of two progressive wave are given by y_(1) = asin (omega t + phi_(1)) and y_(2) = a sin (omegat + phi_(2)) . IF amplitude and time period of resultant wave is same as that of both the waves, then (phi_(1)-phi_(2)) is

RESONANCE ENGLISH-TRAVELLING WAVES-Exercise- 3 PART I
  1. A harmonically moving transverse wave on a string has a maximum partic...

    Text Solution

    |

  2. A 20 cm long string, having a mass of 1.0 g, is fixed at both the ends...

    Text Solution

    |

  3. When two progressive waves y(1)=4sin(2x-6t)andy(2)=3sin(2x-6t-(pi)/(2)...

    Text Solution

    |

  4. A massless rod of length l is hung from the ceiling with the help of t...

    Text Solution

    |

  5. A transverse sinusoidal wave moves along a string in the positive x-di...

    Text Solution

    |

  6. A horizontal stretched string, fixed at two ends, is vibrating in its ...

    Text Solution

    |

  7. One end of a taut string of length 3 m along the x-axis is fixed at x ...

    Text Solution

    |

  8. A string is stretched betweeb fixed points separated by 75.0 cm. It ob...

    Text Solution

    |

  9. A steel wire of length 50sqrt(3) cm is connected to an aluminium wire ...

    Text Solution

    |

  10. An aluminium wire of cross-sectional area (10^-6)m^2 is joined to a st...

    Text Solution

    |

  11. The fundatmental frequency of a sonometer wire increases by 6 Hz if it...

    Text Solution

    |

  12. A metal wire with volume density rho and young's modulus Y is stretche...

    Text Solution

    |

  13. Find velocity of wave is string A &B.

    Text Solution

    |

  14. A string of length 50 cm is vibrating with a fundamental frequency of ...

    Text Solution

    |

  15. A string fixed at both is vibrating in the lowest mode of vibration fo...

    Text Solution

    |

  16. A guitar string is 90 cm long and has a fundamental frequency of 124 H...

    Text Solution

    |

  17. A piano wire weighing 6.00 g and having a length of 90.0 cm emits a fu...

    Text Solution

    |

  18. Length of a sonometer wire is 1.21 m. Find the length of the three seg...

    Text Solution

    |

  19. In the figure shown A and B are two ends of a string of length 100m. S...

    Text Solution

    |