Home
Class 12
PHYSICS
When a wave travels in a medium the part...

When a wave travels in a medium the particles displacement is given by the equation
`y(x,t)=0.03sin pi (2t-0.01x)`
Where y and x are in metre and t in second. The wavelengths of the wave is

A

10m

B

20m

C

100m

D

200m

Text Solution

Verified by Experts

The correct Answer is:
D

Comparing y(x,t)=`0.03sinpi(2t-0.01x)` with equation of wave `y=Asin2pi(t/T-x/(lambda))`
`y=0.03sin2pi(t-(0.01x)/2)`
`x/lambda=(0.01x)/2`
`lambda =2/0.01=200m`
Promotional Banner

Topper's Solved these Questions

  • THERMAL CONDUCTIVITY

    SIA PUBLICATION|Exercise Problems|96 Videos
  • WAVES OPTICS

    SIA PUBLICATION|Exercise M.C.Q|23 Videos

Similar Questions

Explore conceptually related problems

A simple harmonic oscillation is represented by the equation y=0.4 sin ((440t)/7+0.61x) Where 'Y' and 'X' are in m and time 't' in seconds respectively. The value of time period in seconds

The equation of a transverse wave travelling on a rope is given by y = 10sin pi (0.01x-2.000t) where y and x are in cm and t in seconds. The maximum transverse speed of a particle in the rope is about

SIA PUBLICATION-WAVES-PROBLEMS
  1. The source and an observer move away from each other, each with a velo...

    Text Solution

    |

  2. The length of the closed pipe whose fundamental frequency is equal to ...

    Text Solution

    |

  3. An observer is moving away from a sound source of frequency 100 Hz. If...

    Text Solution

    |

  4. A wave is given by the equation y=A sin 2pi ("f"t-x//lambda) Its max...

    Text Solution

    |

  5. Stationary waves are setup in an air column. If the velocity of sound ...

    Text Solution

    |

  6. An observer is moving away from a source of sound of frequency 100 Hz ...

    Text Solution

    |

  7. Which of the following satements is not true for the velocity of sound...

    Text Solution

    |

  8. Two identical stinged instruments have a frequency of 100Hz. The tensi...

    Text Solution

    |

  9. The phase difference between two vibrating particles separated by a di...

    Text Solution

    |

  10. A closed pipe 1 m long, emitting its second overtone, is in unison wit...

    Text Solution

    |

  11. When a wave travels in a medium the particles displacement is given by...

    Text Solution

    |

  12. A tuning fork of frequency 392 Hz, resonates with 50 cm length of a st...

    Text Solution

    |

  13. In rsonace column experiment with a closed pipe, the first, second and...

    Text Solution

    |

  14. When a wave travels in a medium the particles displacement is given by...

    Text Solution

    |

  15. Using the same tuning fork first resonace lengths wre observed with an...

    Text Solution

    |

  16. A source of sound emitting sound with frequency 540Hz approaches a sta...

    Text Solution

    |

  17. The velocity of propagtion of sound is 330 ms^-1, in ait. If the third...

    Text Solution

    |

  18. Let vvs be the speed of the source emitting waves, n the actual freque...

    Text Solution

    |

  19. A certain number of beats are heard when two tuning forks of natural f...

    Text Solution

    |

  20. A body vibrating with a certain frequency sends waves of wavelength 15...

    Text Solution

    |