Home
Class 11
PHYSICS
The transverse displacement of a string ...

The transverse displacement of a string (clamped at its two ends ) is given by
`y(x,t)=0.06sin((2pi)/(3))xcos(120pit)`
wherer x ,y are in m and t ini s. The length of the string is 1.5m and its mass is `3xx10^(-2)` kg. Answer the following: (i) Does the function represent a travelling or a stationary wave ?
(ii) Interpret the wave as a superimposition of two waves travelling in opposite directions. What are the wavelength, frequency and speed of propagation of each wave ?
(iii) Determing the tension in the string.

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

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 transverse displacement of a string clamped at its both ends is given by y(x, t) = 0.06 sin ((2pi)/3 x) cos(l20pit) where x and y are in m and t in s. The length of the string is 1.5 m and its mass is 3 xx 10^(-2) kg. The tension in the string is

The displacement of a string is given by y(x,t)=0.06sin(2pix//3)cos(120pit) where x and y are in m and t in s. The lengthe of the string is 1.5m and its mass is 3.0xx10^(-2)kg.

The transverse displacement of a string fixed at both ends is given by y=0.06sin((2pix)/(3))cos(100pit) where x and y are in metres and t is in seconds. The length of the string is 1.5 m and its mass is 3.0xx10^(-2)kg . What is the tension in the string?

The transverse displacement of a string (clamped at its both ends ) is given by y(x,t)=0.06sin(2pix//3)cos(120pit). All the points on the string between two consecutive nodes vibrate with

The transverse displacement of a string (clamped at its two ends ) is given by y(x,t)=0.06 sin (2pi)/(3)x cos 120pit, where x, y are in m and t is in s. Do all the points on the string oscillate with theh same (a) frequency (b) phase (c) amplitude Explain your answer.

The displacement of a particle of a string carrying a travelling wave is given by y=(4cm)sin2pi(0.5x-100t) , where x is in cm and t is in seconds. The speed of the wave is

A wave travels in a medium according to the equation of displacement given by y(x, t)=0.03 sin pi (2 t-0.01 x) where y and x are in metres and t in seconds. The wavelength of the wave is

SL ARORA-WAVE MOTION-All Questions
  1. The constituent waves of a staionary wave have amplitude, frequency an...

    Text Solution

    |

  2. Stationary waves are set up by the superposition of two waves given by...

    Text Solution

    |

  3. The transverse displacement of a string (clamped at its two ends ) is ...

    Text Solution

    |

  4. The transverse displacement of a string (clamped at its two ends ) is ...

    Text Solution

    |

  5. A sonometer wire is under a tension of 40 N and the length between the...

    Text Solution

    |

  6. Calculate the fundamental frequency of a sonometer wire fo length 20cm...

    Text Solution

    |

  7. A stretched wire emits a fundamental note of frequency 256Hz. Keeping ...

    Text Solution

    |

  8. A wire stretched between two rigid supports vibrates in its fundamenta...

    Text Solution

    |

  9. Find the fundamental note emitted by a string of length 10sqrt(10) cm ...

    Text Solution

    |

  10. A rope 5 m long has a total mass of 245g. It is stretched with a cons...

    Text Solution

    |

  11. In a experiment it was found that the string vibrated in three loops w...

    Text Solution

    |

  12. A wire of length 108 cm produces a fundamental note of frequency 256 H...

    Text Solution

    |

  13. The length of a wire between the two ends of a sonometer is 105 cm. Wh...

    Text Solution

    |

  14. Three strings of the same of the same length are subjected to equal te...

    Text Solution

    |

  15. A sonometer resonates with a source of frequency 500 Hz when the lengt...

    Text Solution

    |

  16. The fundamental frequency of a sonometer wire increases by 5Hz, if its...

    Text Solution

    |

  17. A stone hangs in air from one end of a wire, which is stretched over a...

    Text Solution

    |

  18. A wire having a linear density of 0.05 g//cmis stretched between two r...

    Text Solution

    |

  19. What should be minimum length of an open organ pipe for producing a no...

    Text Solution

    |

  20. If the velocity of sound in air is 350 m/s . Then the fundamental freq...

    Text Solution

    |