Home
Class 12
PHYSICS
The value of amplitude at an antinode ,...

The value of amplitude at an antinode , on an undamped one dimensional stationary wave of wavelength 1.2 m, is 5mm. Then the value of amplitude of particle at a distance of 15cm from an antinode is

A

3.535 mm

B

0.707 mm

C

5 mm

D

7.07 mm

Text Solution

Verified by Experts

The correct Answer is:
A
`R=2Acos (2pix)/(lamda)`
`=5xx10^(-3) cos(2pixx0.5)/(1.2)`
`=5xx10^(-3)cospi/4=3.535`mm
Promotional Banner

Topper's Solved these Questions

  • SEMICONDUCTORS

    NIKITA PUBLICATION|Exercise MCQS|350 Videos

  • SURFACE TENSION

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

Similar Questions

Explore conceptually related problems

The value of amplitude at an antinode , on an undamped one dimensional stationary wave of wavelength 1.2 m, is 5mm. Then the value of amplitude of particle at a distance of 10cm from an node is

In a stationary wave of wavelength 0.4 m, the distance between node and adjacent antinode is ________.

In a stationary wave, for the particles situated at either side of an antinode at a distance lamda//2 ,

A string of linear mass density 5.0 xx 10^-3 kg//m is stretched under a tension of 65 N between two rigid supports 60 cm apart. (a) If the string is vibrating in its second overtone so that the amplitude at one of its antinodes is 0.25 cm, what are the maximum transverse speed and acceleration of the string at antinodes? (b) What are these quantities at a distance 5.0 cm from an node?

A strain of sound waves is propagated along an organ pipe and gets reflected from an open end . If the displacement amplitude of the waves (incident and reflected) are 0.002 cm , the frequency is 1000 Hz and wavelength is 40 cm . Then , the displacement amplitude of vibration at a point at distance 10 cm from the open end , inside the pipe is

A simple harmonic wave of amplitude 8 units travels along positive x-axis. At any given instant of time, for a particle at a distance of 10 cm from the origin, the displacement is + 6 units , and for a particle at a distance of 25 cm from the origin, the displacement is + 4 units. Calculate the wavelength.

A metallic rod of length 1m has one end free and other end rigidly clamped. Longitudinal stationary waves are set up in the rod in such a way that there are total six antinodes present along the rod. The amplitude of an antinode is 4 xx 10^(-6) m . young's modulus and density of the rod are 6.4 xx 10^(10) N//m^(2) and 4 xx 10^(3) Kg//m^(3) respectively. Consider the free end to be at origin and at t=0 particles at free end are at positive extreme. The equation describing displacements of particles about their mean positions is.

A metallic rod of length 1m has one end free and other end rigidly clamped. Longitudinal stationary waves are set up in the rod in such a way that there are total six antinodes present along the rod. The amplitude of an antinode is 4 xx 10^(-6) m . young's modulus and density of the rod are 6.4 xx 10^(10) N//m^(2) and 4 xx 10^(3) Kg//m^(3) respectively. Consider the free end to be at origin and at t=0 particles at free end are at positive extreme. The magnitude of strain at midpoint of the rod at t = 1 sec is

A metallic rod of length 1m has one end free and other end rigidly clamped. Longitudinal stationary waves are set up in the rod in such a way that there are total six antinodes present along the rod. The amplitude of an antinode is 4 xx 10^(-6) m . young's modulus and density of the rod are 6.4 xx 10^(10) N//m^(2) and 4 xx 10^(3) Kg//m^(3) respectively. Consider the free end to be at origin and at t=0 particles at free end are at positive extreme. The equation describing stress developed in the rod is

NIKITA PUBLICATION-STATIONARY WAVES -MCQs
  1. In the previous Q. The wavelength of the component progressive wave is

    Text Solution

    |

  2. In the Q.89 the frequency of the component progressive wave is

    Text Solution

    |

  3. The value of amplitude at an antinode , on an undamped one dimensiona...

    Text Solution

    |

  4. The value of amplitude at an antinode , on an undamped one dimensiona...

    Text Solution

    |

  5. The equation of a vibrating string is y=0.01cos4pixxsin200pit Wher...

    Text Solution

    |

  6. The velocity of the component wave is

    Text Solution

    |

  7. A wave disturbance in a medium is described by y(x,t) = 0.02 "cos"(50p...

    Text Solution

    |

  8. A wave of length 2m is superimposed on its reflected wave to form a st...

    Text Solution

    |

  9. Two wires whose lengths are in ratio 3:2 are stretched with equal tens...

    Text Solution

    |

  10. Two sound waves each of frequency 500Hz are travelling along the same ...

    Text Solution

    |

  11. If a wave is propagated along the stretched string in the form

    Text Solution

    |

  12. The simplest mode of a vibration of the string is

    Text Solution

    |

  13. In a simple harmonic mode of vibration, on a string

    Text Solution

    |

  14. The lowest frequency of the vibrating string is

    Text Solution

    |

  15. The maximum or thershold wavelength of transverse stationary wave on ...

    Text Solution

    |

  16. Stading waves can be produced (A) On a string clamed at both ends. ...

    Text Solution

    |

  17. In law of length , the fundamental frequency of vibrating string is

    Text Solution

    |

  18. In law of tension, the fundamental frequency of vibrating string is

    Text Solution

    |

  19. In law of linear density, the fundamental frequency of vibrating strin...

    Text Solution

    |

  20. For a constant vibrating length, density of the material and tension i...

    Text Solution

    |