Home
Class 12
PHYSICS
A transverse progressive wave is given b...

A transverse progressive wave is given by the equation `y = 2 cos pi (0.5 x - 200t)`, where x and y are in cm and 't' in second. The true following statement is

A

wavelength 2 cm and velocity 400 cm/s

B

wavelength 4 cm and amplitude 2 cm

C

wavelength 4 cm and frequency 100 Hz

D

b' and 'c'

Text Solution

Verified by Experts

The correct Answer is:
D
`A = 2 cm " " omega = 200pi`
`2pi n = 200 pi " " :. n = 100 Hz`
`K = 0.5pi`
`(2pi)/(lamda) = 0.5 pi " " :. lamda= 4 cm`
Promotional Banner

Topper's Solved these Questions

  • SURFACE TENSION

    NIKITA PUBLICATION|Exercise Multiple Choice Questions (Question Given in MHT-CET )|31 Videos

  • WAVE THEORY OF LIGHT

    NIKITA PUBLICATION|Exercise Multiple Choice Questions|303 Videos

Similar Questions

Explore conceptually related problems

A simple harmonic progressive wave is represented by the equation- y = 8sin2 pi (0.1x — 2t) , where x and y are in cm and t is in second. At any instant the phase difference between two particles separated, by 2.0 cm in the x direction is

The equation of a simple harmonic progressive wave is given by y = 5 cos pi [200t - (x)/(150)] where x and y are in cm and 't' is in seocnd. The the velocity of the wave is

The equation of a progressive wave is given by y = 0.5 sin (20 x - 400 t) where xand y are in metre and tis in second. The velocity of the wave is

A progressive wave is represented by the equation y= 0.5 sin ( 314t- 12.56x) where y and x are in metre and t is in second .Its wavelength is

A wave is represented by the equation, y = 0.1 sin (60 t + 2x) , where x and y are in metres and t is in seconds. This represents a wave

The equation of a wave is y=2 sin pi (0.5x- 200 t) . Where x and y are expressed in cm and t in sec. The wave velocity is

The equation of a plane progressive wave is give by equation y=10sin2pi(t-0.005x) where y and x are in cm and t is in seconds. Calculate the amplitude, frequency, wavelength and velcoity of the wave.

The equation of a transverse wave is given by y=10 sin pi (0.01 x -2t ) where x and y are in cm and t is in second. Its frequency is

Equation of the progressive wave is given by : y=a sin pi (40 t-x) where a and x are in metre and t in second. The velocity of the wave is

NIKITA PUBLICATION-WAVE MOTION-Multiple Choice Questions
  1. The ratio of angular velocity to the propagation constant of the mediu...

    Text Solution

    |

  2. When a wave of wavelength 3m travels through a medium then two particl...

    Text Solution

    |

  3. A transverse progressive wave is given by the equation y = 2 cos pi (0...

    Text Solution

    |

  4. Two waves are given byy(1) = a sin (omega t - kx) and y(2) = a cos (om...

    Text Solution

    |

  5. The equation of a transverse wave is given by y=10 sin pi (0.01 x -...

    Text Solution

    |

  6. When a simple harmonic progressive wave travels through the medium, th...

    Text Solution

    |

  7. The equation of a simple harmonic progressive wave is given by y = 5...

    Text Solution

    |

  8. In the problem number 130, the wavelength of the wave is

    Text Solution

    |

  9. The frequency and amplitude of the problem number 130 is

    Text Solution

    |

  10. A wave along a string has the equation y = 0.02 sin (30 t - 4x), where...

    Text Solution

    |

  11. In the problem No. 133, the wavelength of the wave is

    Text Solution

    |

  12. In the problem No.133, the velocity of the wave is

    Text Solution

    |

  13. In problem No. 133, the phase difference beteen two points septated by...

    Text Solution

    |

  14. In problem No. 133, the phase difference between two points separated ...

    Text Solution

    |

  15. In problem No.133, the distance moved by the wave in 4s is,

    Text Solution

    |

  16. The phase of a particle at P(1) " is " 60^(@) and the phase of a parti...

    Text Solution

    |

  17. The equation of a transverse wave travelling in a rope is given by y =...

    Text Solution

    |

  18. If the frequencies of two notes in a medium are in the ratio 3 : 5, th...

    Text Solution

    |

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

    Text Solution

    |

  20. A wave train of a plane wave with wavelength 1.8 cm, travels from deep...

    Text Solution

    |