Home
Class 12
PHYSICS
A standing wave in a pipe with a length ...

A standing wave in a pipe with a length `L = 1.2 m` is described by
`y(x,t) = y_(0)sin[(2pi//L)x]sin[(2pi//L)x+pi//4]`
Based on above information, which one of the following statements is incorrect. (Speed of sound in air is `300 ms^(-1)`)–

A

The pipe is closed at both ends

B

The wavelength of the wave could be 1.2 m

C

There could be a node at x = 0 and antinode at `x = L//2`

D

The frequency of the fundamental mode of vibrations is 137.5 Hz

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • KVPY 2021

    KVPY PREVIOUS YEAR|Exercise PART I (Chemistry)|2 Videos

Similar Questions

Explore conceptually related problems

The equation of the stationary wave is y = 2 A sin (( 2 pi c t)/( lambda)) cos (( 2 pi x)/( lambda)) Which of the following statements is wrong?

The wave described by y = 0.25 "sin"(10 pi x - 2pit) , where x and y are in metres and t in seconds , is a wave travelling along the:

The wave described by y = 0.25 sin ( 10 pix -2pi nt ) where x and y are in meters and t in seconds , is a wave travelling along the

If ( sin x) (cos y) = 1//2, then d^(2)y//dx^(2) at (pi//4, pi//4) is

The ends of a stretched wire of length L are fixed at x = 0 and x = L . In one experiment, the displacement of the wire is y_(1) = A sin(pi//L) sin omegat and energy is E_(1) and in another experiment its displacement is y_(2) = A sin (2pix//L ) sin 2omegat and energy is E_(2) . Then

A wave is represented by the equation y= A sin ( 10 pi x + 15 pi l + (pi)/(6)) wher x is in metre and t in second. The expression represents

KVPY PREVIOUS YEAR-KVPY-All Questions
  1. On a bright sunny day a diver of height h stands at the bottom of a la...

    Text Solution

    |

  2. As shown in the figure below, a cube is formed with ten identical resi...

    Text Solution

    |

  3. A standing wave in a pipe with a length L = 1.2 m is described by y...

    Text Solution

    |

  4. Two blocks (1 and 2) of equal mass m are connected by an ideal string ...

    Text Solution

    |

  5. A simple pendulum is released from rest at the horizontally stretched ...

    Text Solution

    |

  6. In following displacement (x) vs time (t) graph at which among the P,...

    Text Solution

    |

  7. A box, when hung from a spring balance shows a reading of 50 kg. If th...

    Text Solution

    |

  8. Two positively charged spheres of masses m(1), " and " m(2) are suspen...

    Text Solution

    |

  9. A box when dropped from a certain height reaches the ground with a sp...

    Text Solution

    |

  10. A thin paper cup filled with water does not catch fire when placed ove...

    Text Solution

    |

  11. Ice is used in a cooler in order to cool its contents. Which of the fo...

    Text Solution

    |

  12. A concave lens made of material of refractive index 1.6 is immersed i...

    Text Solution

    |

  13. A charged particle initially at rest at O, when released follows a tra...

    Text Solution

    |

  14. Two equal charges of magnitude Q each are placed at a distance d apart...

    Text Solution

    |

  15. A bar magnet falls with its north pole pointing down through the axis ...

    Text Solution

    |

  16. Two identical bar magnets are held perpendicular to each other with a ...

    Text Solution

    |

  17. A large number of random snap shots using a camera are taken of a part...

    Text Solution

    |

  18. In 1911, the physical Ernest Rutherford discovered that atoms have a t...

    Text Solution

    |

  19. A uniform thin rod of length 2L and mass m lies on a horizontal table....

    Text Solution

    |

  20. A solid cylinder P rolls without slipping from rest down an inclined p...

    Text Solution

    |