Home
Class 11
PHYSICS
Wave equation for one progressive harmon...

Wave equation for one progressive harmonic wave is`y = 10 ^(-4) sin (600 t - 2x + (pi)/(3))` m and t is in s). Velocity of the wave would be ...... m/s

A

300

B

600

C

1200

D

200

Text Solution

Verified by Experts

The correct Answer is:
A

Comparing given equation,
`y = 10 ^(-4) sin (600 t - 2x + (pi)/(t))`
with `y = a sin (omega t - kx +phi)` we get, `omega = 600 rad//s`
`k = 2 rad //m`
`therefore v = (omega )/(k) = (600)/(2) = 300 (m)/(s)`
Promotional Banner

Topper's Solved these Questions

  • WAVES

    KUMAR PRAKASHAN|Exercise SECTION-F (Questions From Module) (Sample questions for preparation of competitive exams)|23 Videos
  • WAVES

    KUMAR PRAKASHAN|Exercise SECTION-D (NCERT Exemplar Solution) (Long Answer Type Questions)|5 Videos
  • UNITS AND MEASUREMENT

    KUMAR PRAKASHAN|Exercise Section -F (Questions from Module )|20 Videos
  • WORK, ENERGY AND POWER

    KUMAR PRAKASHAN|Exercise QUESTION PAPER (SECTION - D)|1 Videos

Similar Questions

Explore conceptually related problems

Velocity of a wave y = 10 ^(-4) sin (100 t - (x)/(10)) m is …...m/s

In the equation of motion of waves in x-direction is given by y= 10^(-4) sin(600t-2x+(pi)/(3)) where x and y are in metre and t is in second, then the velocity of wave will be………… ms^(-1) .

Equation of a wave propagating on a string is y =3 cos {pi (100 t - x)} (Where x is in cm and t is in s). Find its wavelength.

For a progressive wave, y = 5 sin (0.01 x - 2t) (where x and y are in cm and t is in s). What will be its speed od propagation ?

The displacement y of a wave travelling in the x-direction is given by y = 10^(-4) sin ((600t - 2x + (pi)/(3))meters where x is expressed in meters and t in seconds. The speed of the wave-motion, in ms^(-1) , is

Two vibrating tuning forks produce progressive waves given by y, y _(1) = 4 sin 500 pi t and y _(2) = 2 sin 506 pi t. Number of beats produced per minute is ......

During the propagation of one progressive harmonic wave having amplitude 10 m, displacements and particles at 2 m and 16 m at respectively 2s and 8 s are 5 m and 5 sqrt3 m respectively. Find angular frequency and wave vector for this wave.

For a stationary wave y = 10 sin ((pi x )/(4)) cos (2pi t ) metre, distance between two consecutive nodes is ...... m.

in the given progressive wave y = 5 sin (100 pi t -0.4 pi x) where y and x are in metre, t is in second. What is the (a) amplitude (b) wave length (c) frequency (d) wave velocity (e) particle velocity amplitude,

Equation of a plane progressive wave is given by y = 0.6 sin 2pi (t - (x)/(2)). On reflection from a denser medium its amplitude becomes (2)/(3) of the amplitude of the incident wave. The equation of the reflected wave is ..........

KUMAR PRAKASHAN-WAVES-SECTION-E (Multiple Choice Questions (MCQs)) (MCQs asked in Gujarat Board and Competitive Exams)
  1. A uniform string is vibrating with a fundamental frequency 'f. The new...

    Text Solution

    |

  2. Five sinusoidal waves have the same frequency 500 Hz but their amplitu...

    Text Solution

    |

  3. Mention the range of audible range for the humans.

    Text Solution

    |

  4. Among following media, sound has its maximum velocity in ......

    Text Solution

    |

  5. What should be minimum distance between listener and reflecting surfac...

    Text Solution

    |

  6. Equation of a wave propagating on a string is y =3 cos {pi (100 t - x)...

    Text Solution

    |

  7. Path different between waves y(1) = A(1) sin (omega t - (2pix)/(lamd...

    Text Solution

    |

  8. Reason for increase in the intensity of sound during night time is ......

    Text Solution

    |

  9. If resultant wave of two waves, each of amplitude A is also A then, ph...

    Text Solution

    |

  10. Magnitude of wave vector of an e.m.wave with frequency 150 MHz is .......

    Text Solution

    |

  11. For stationary waves produced in a string of length I wavelength in th...

    Text Solution

    |

  12. When two waves y (1) =A sin (omega t + (pi)/(6)) and y (2) = A cos (om...

    Text Solution

    |

  13. One source of sound moves towards stationary listener with a speed, (1...

    Text Solution

    |

  14. Wave equation for one progressive harmonic wave isy = 10 ^(-4) sin (60...

    Text Solution

    |

  15. For a string, tied with two fixed rigid supports, scparated by 75 cm h...

    Text Solution

    |

  16. Velocity of sound in O(2) gas is 460 ms^(-1) at certain temperature. ...

    Text Solution

    |

  17. One end of 85 cm long pipe is made closed. Now, normal modes of vibrat...

    Text Solution

    |

  18. A train is moving on a straight track with speed 20 ms^(-1). It is blo...

    Text Solution

    |

  19. A 60 cm long granite rod is fixed at its midpoint and then longitudina...

    Text Solution

    |

  20. An organ pipe closed at one end has fundamental frequency of 1500 Hz. ...

    Text Solution

    |