Home
Class 12
PHYSICS
The wave-function for a certain standing...

The wave-function for a certain standing wave on a string fixed at both ends is `y(x,t) = 0.5 sin (0.025pix) cos500t` where `x` and `y` are in centimeters and `t` is seconds. The shortest possible length of the string is :

A

126 cm

B

160 cm

C

40 cm

D

80 cm

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • RACE

    ALLEN|Exercise Basic Maths (Wave Motion & Dopplers Effect) (Superposition of waves interfarence, beats)|15 Videos

  • NEWTONS LAWS OF MOTION

    ALLEN|Exercise EXERCISE-III|28 Videos

  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise Example|1 Videos

Similar Questions

Explore conceptually related problems

The equation of a standing wave produced on a string fixed at both ends is y=0.4 "sin"(pix)/(10) cos 600 pi t where y' is measured in om 10 What could be the smallest length of string?

The equation of stationary wave along a stretched string is given by y = 5 sin(pi/3 x) cos 40pi t where x and y are in centimetre and t in second. The separation between two adjacent nodes is :

A wave disturbance in a medium is described by y(x, t) = 0.02 cos(50pit + (pi)/(2))cos(10pix) where x and y are in meter and t is in second

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

The displacement wave in a string is y=(3 cm)sin6.28(0.5x-50t) where x is in centimetres and t in seconds. The velocity and wavelength of the wave is :-

The transvers displacement of a string (clamped at its both ends) is given by y(x,t) = 0.06 sin ((2pi)/(3)s) cos (120 pit) Where x and y are in m and t in s . The length of the string 1.5 m and its mass is 3.0 xx 10^(-2) kg . Answer the following : (a) Does the funcation represent a travelling wave or a stational wave ? (b) Interpret the wave as a superposition of two waves travelling in opposite directions. What is the wavelength. Frequency and speed of each wave ? Datermine the tension in the string.

The equation of standing wave in a stretched string is given by {y =2sin [pi /2 (x)] cos(20 pi t)} where x and y are in meter and t is in second. Then minimum separation between two particle which are at the antinodes and having same phase will be

A standing wave is represented by, y-Asin(100t)cos(0.01x) , where x,y and A are in millimeter and t in second. The velocity of the wave is

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 equations for two sinusoidal waves propagating through a string are given by, y_(1)=4 sin (20x-30t) y_(2)=4 sin (25-x-40t) where y and x are in centimeters and t is second. (i) What is the phase difference between these two waves at the points x=5.0 cm and at t=2.0 s? (ii) When these two waves interface what is the maximum and minimum value of the intensity?

ALLEN-RACE-Basic Maths (Wave Motion & Dopplers Effect) (Stationary waves & doppler effect, beats)
  1. A uniform string resonates with a tuning fork , at a maximum tension o...

    Text Solution

    |

  2. If in a stationary wave the amplitude corresponding to antinode is 4 c...

    Text Solution

    |

  3. What is the phase difference between the displacement wave and pressur...

    Text Solution

    |

  4. A wire of length 'l' having tension T and radius 'r' vibrates with fun...

    Text Solution

    |

  5. Equation of a standing wave is expressed as y = 2A sinomegat coskx. In...

    Text Solution

    |

  6. Two vibrating strings of same material stretched under same tension an...

    Text Solution

    |

  7. The wave-function for a certain standing wave on a string fixed at bot...

    Text Solution

    |

  8. In a standing wave on a string.

    Text Solution

    |

  9. A string vibrates in 5 segments to a frequency of 480 Hz. The frequen...

    Text Solution

    |

  10. A 2.0m long string with a linear mass density of 5.2xx10^(-3) kg m^(-1...

    Text Solution

    |

  11. A wave is given by the equation y = 10 sin 2 pi (100 t - 0.02 x) + ...

    Text Solution

    |

  12. In case of closed organ pipe, which harmonin the p^(th) overtone will ...

    Text Solution

    |

  13. An organ pipe open at one end and closer at other has a length L. the ...

    Text Solution

    |

  14. The first resonance length of a resonance tube is 40 cm and the second...

    Text Solution

    |

  15. A man sitting in a moving train hears the whistle of the engine. The f...

    Text Solution

    |

  16. A whistle of frequency 500 Hz tied to the end of a string of length 1....

    Text Solution

    |

  17. A train moves towards a stationary observer with speed 34 m/s. The tra...

    Text Solution

    |

  18. If source and observer both are relatively at rest and if speed of sou...

    Text Solution

    |

  19. A small source of sound moves on a circle as shown in figure and an ob...

    Text Solution

    |

  20. An observer moves towards a stationary source of sound with a velocity...

    Text Solution

    |