Home
Class 11
PHYSICS
Length of a string tied to two rigid sup...

Length of a string tied to two rigid support is `40cm`. Maximum length (wavelength in cm) of a stationary wave produced on it is

A

20

B

80

C

40

D

120

Text Solution

Verified by Experts

The correct Answer is:
B
As the string is tied between two rigid supports hence there will be nodes at both ends. The longest wavelength for nodes at both ends will be the one
`l=(lamda)/(2)rArr lamda=2l`
`lamda_("longest")=2xx40=80cm`.
Promotional Banner

Topper's Solved these Questions

  • WAVES AND OSCILLATIONS

    ALLEN |Exercise Part-1(Exercise-05)[B]|42 Videos

  • WAVES AND OSCILLATIONS

    ALLEN |Exercise Part-1(Exercise-04)[B]|13 Videos

  • SEMICONDUCTORS

    ALLEN |Exercise Part-3(Exercise-4)|50 Videos

Similar Questions

Explore conceptually related problems

A man wants to cut three lengths from a single piece of Board of length 91 cm . The second length is to be 3cm longer than the shortest and third length is to be twice long as shortest .what are the possible lengths of shortest board if the third piece is to be 5cm longer than second piece ?

Two consecutive harmonics in stationary waves produced in a string of length 100 cm have frequencies 300 Hz and 400 Hz. It has maximum amplitude 10 cm. Obtain equation of stationary waves in this string when it oscillates with fundamental frequency.

For a string, tied with two fixed rigid supports, scparated by 75 cm has two consecutive harmonics at 315 Hz and 420 Hz. Find its minimum frequency.

One end of a taut string of length 3m along the x-axis is fixed at x = 0 . The speed of the waves in the string is 100ms^(-1) . The other end of the string is vibrating in the y-direction so that stationary waves are set up in the string. The possible wavelength (s) of these sationary waves is (are)

The stationary waves set up on a string have the equation : y = ( 2 mm) sin [ (6.28 m^(-1)) x] cos omega t The stationary wave is created by two identical waves , of amplitude A each , moving in opposite directions along the string . Then :

For one resonance tube, a tuning fork produces resonance when air column in it has minimum length 50 cm. Now, next length of air column when resonance is produced again is

The area of a triangle is 48 cm^(2) and one of its sides measures 12 cm. Then, the length of the altitude corresponding to this side is …………….cm.

In a circle of diameter 40cm , the length of a chord is 20cm . Find the length of minor arc of the chord.

ALLEN -WAVES AND OSCILLATIONS-Part-1(Exercise-05)[A]
  1. A tuning fork arrangement (pair) produces 4 beats//sec with one fork o...

    Text Solution

    |

  2. A wave y = a sin (omegat - kx) on a string meets with another wave pro...

    Text Solution

    |

  3. Length of a string tied to two rigid support is 40cm. Maximum length (...

    Text Solution

    |

  4. The displacement y of a wave travelling in the x-direction is given by...

    Text Solution

    |

  5. A tuning fork of known frequency 256 Hz makes 5 beats per second with ...

    Text Solution

    |

  6. When two tuning forks (fork 1 and fork 2 ) are sounded simultaneously,...

    Text Solution

    |

  7. An observer moves towards a stationary source of sound, with a veloci...

    Text Solution

    |

  8. A whistle producing sound waves of frequencies 9500 Hz and above is ap...

    Text Solution

    |

  9. A sound absorber attenuates the sound level by 20 dB. The intensity de...

    Text Solution

    |

  10. While measuring the speed of sound by performing a resonance column ex...

    Text Solution

    |

  11. A wave travelling along the x-axis is described by the equation v(x, t...

    Text Solution

    |

  12. Three sound waves of equal amplitude have frequencies (n-1), n, (n + 1...

    Text Solution

    |

  13. A motor cycle starts from rest and accelerates along a straight path a...

    Text Solution

    |

  14. The equation of a wave on a string of linear mass density 0.04 kgm^(-1...

    Text Solution

    |

  15. The transverse displacement y(x, t) of a wave on a string is given by ...

    Text Solution

    |

  16. Statement-1: Two longitudinal waves given by equation y(1)(x,t)=2asin(...

    Text Solution

    |

  17. A transverse wave travelling along the positive x-axis, given by y=A s...

    Text Solution

    |

  18. A cylindrical tube, open at both ends, has a fundamental frequency f i...

    Text Solution

    |

  19. A sonometer wire of length 1.5m is made of steel. The tension in it pr...

    Text Solution

    |

  20. A pipe of length 85cm is closed from one end. Find the number of possi...

    Text Solution

    |