Home
Class 11
PHYSICS
A standing wave is created on a string ...

A standing wave is created on a string of length `120 m` and it is vibrating in `6 th` harmonic. Maximum possible amplitude of any particle is `10 cm` and maximum possible velocity will be `10 cm//s`. Choose the correct statement.

A

Angular wave number of two waves will be `(pi)/(20)`

B

Time period of any particle's `SHM` will be `4 pi sec`.

C

Any particle will have same kinetic energy as potential energy

D

Amplitude of interfering waves are `10 cm` each.

Text Solution

Verified by Experts

The correct Answer is:
A
`6((lamda)/(2))=120 rArr lamda =40 rArr k=(pi)/(20) rArr Aomega = v_(max) rArr omega = 1 rArr T=2pi`.
Promotional Banner

Topper's Solved these Questions

  • WAVES AND OSCILLATIONS

    ALLEN|Exercise Part-2(Example)|15 Videos

  • WAVES AND OSCILLATIONS

    ALLEN|Exercise Part-3(Example)|32 Videos

  • SEMICONDUCTORS

    ALLEN|Exercise Part-3(Exercise-4)|51 Videos

Similar Questions

Explore conceptually related problems

A simple pendulum of length 98cm has amplitude of 2sqrt10 cm. Taking g=9.8m//s^2 , its maximum velocity will be

A 660 Hz tuning fork sets up vibration in a string clamped at both ends. The wave speed for a transverse wave on this string is 1220 m s^-1 and the string vibrates in three loops. (a) Find the length of the string. (b) If the maximum amplitude of a particle is 0.5 cm, write a suitable equation describing the motion.

A particle is executing SHM with amplitude 4 cm and has a maximum velocity of 10 cm/sec What is its velocity at displacement 2 cm?

A standing wave exists in string of length 150 cm fixed at both ends. The displacement amplitude of a point at a distance of 10 cm from one of ends if 5sqrt(3)mm . The distance between two nearest points, within the same loop having the same displacement amplitude of 5sqrt(3) is 10 nm. The maximum displacement amplitude of the particle in the string is,:

A guitar string is vibrating in its fundamental mode, with nodes at each end. The length of the segment of the string that is free to vibrate is 0.386 m. The maximum transverse acceleration of a point at the middle of the segment is 8.40 xx10^3m//s^2 and the maximum transverse velocity is 3.80 m/s. a) What is the amplitude of this standing wave? b) What is the wave speed for the transverse traveling waves on this string?

A particle executes a linear S.H.M. of amplitude 8 cm and period 2s. The magnitude of its maximum velocity is

Standing wavs are produced in a stretched string of length 8 m. If the string vibrates in 4 loops and the wave velocity is 20 m/s, then the frequency of the string will be

A particle of mass 10g is undergoing SHM of amplitude 10cm and period 0.1s. The maximum value of force on particle is about

A body of mass 5 gm is executing S.H.M. about a point with amplitude 10 cm . Its maximum velocity is 100 cm / sec . Its velocity will be 50 cm / sec at a distance

ALLEN-WAVES AND OSCILLATIONS-Part-1(Exercise-05)[B]
  1. A standing wave is created on a string of length 120 m and it is vibr...

    Text Solution

    |

  2. A string of length 0.4 m and mass 10^(-2) kg is clamped at one end . T...

    Text Solution

    |

  3. A train moves towards a stationary observer with speed 34 m//s. The tr...

    Text Solution

    |

  4. Two vibrating strings of the same material but lengths L and 2L have ...

    Text Solution

    |

  5. The ends of a stretched wire of length L are fixed at x = 0 and x = L....

    Text Solution

    |

  6. Two pulse in a stretched string whose centers are initially 8cm apart ...

    Text Solution

    |

  7. A siren placed at a railway platform is emitting sound of frequency 5 ...

    Text Solution

    |

  8. A sonometer wire resonates with a given tuning fork forming a standing...

    Text Solution

    |

  9. A police car moving at 22 m/s, chases a motorcylist. The police man so...

    Text Solution

    |

  10. In the experiment for the determination of the speed of sound in air u...

    Text Solution

    |

  11. A source of sound of frequency 600 Hz is placed inside water. The spee...

    Text Solution

    |

  12. A closed organ pipe of length L and an open organ pipe contain gass of...

    Text Solution

    |

  13. A source emits sound of frequency 600Hz inside water. The frequency he...

    Text Solution

    |

  14. An open pipe is in resonance in 2nd harmonic with frequency f(1). Now ...

    Text Solution

    |

  15. A tuning fork of 512 H(Z) is used to produce resonance in a resonance ...

    Text Solution

    |

  16. A massless rod BD is suspended by two identical massless strings AB an...

    Text Solution

    |

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

    Text Solution

    |

  18. A vibrating string of certain length l under a tension T resonates wit...

    Text Solution

    |

  19. The (x, y) co-ordinates of the corners of a square plate are (0, 0), (...

    Text Solution

    |

  20. A transverse sinusoidal wave of amplitude a, wavelength lambda and fre...

    Text Solution

    |

  21. As a wave propagates,

    Text Solution

    |