Home
Class 11
PHYSICS
For the travelling harmonic wave y(x, t)...

For the travelling harmonic wave `y(x, t) = 2.0 cos 2pi (10 t - 0.0080 x + 0.35)`, where x and y are in cm and t in s. Calculate the phase difference between oscillatory motion of two points separated by a distance of
(a) 4m
(b) 0.5 m
(c) `lambda//2`
(d) `(3 lambda)/(4)`

Text Solution

AI Generated Solution

To solve the problem, we need to calculate the phase difference between two points separated by a given distance for the wave described by the equation: \[ y(x, t) = 2.0 \cos(2\pi(10t - 0.0080x + 0.35)) \] ### Step 1: Identify the wave parameters From the wave equation, we can identify the following parameters: - The angular frequency \( \omega = 2\pi \times 10 \) rad/s. ...
Promotional Banner

Topper's Solved these Questions

  • WAVES

    MODERN PUBLICATION|Exercise NCERT ADDITIONAL EXERCISES|6 Videos
  • WAVES

    MODERN PUBLICATION|Exercise NCERT EXEMPLAR PROBLEMS|31 Videos
  • WAVES

    MODERN PUBLICATION|Exercise CONCEPTUAL QUESTIONS|25 Videos
  • UNITS AND MEASUREMENT

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|15 Videos
  • WORK, ENERGY AND POWER

    MODERN PUBLICATION|Exercise Chapter Practice Test|16 Videos

Similar Questions

Explore conceptually related problems

For the travelling harmonic wave y(x, t) = 2 cos2 pi (10t - 0.008x + 0.35) where X and Y are in cm and t is in s. The phase difference between oscillatory motion of two points separated by distance of 0.5 m is

For a travelling harmonic wave y=2.0 cos(10t-0.0080x+0.35) , where x and y are in centimetres and t in seconds. What is the phase difference between oscillatory motion of two points separated by a distance of (a) 4cm (b) 0.5 cm (c ) lambda//2 (d) 3lambda//4

For the travelling harmonic wave, y(x,t)=2.0cos2pi[10t-0.0080x+0.35] . Where x and y are in cm and t is s, what is the phase difference between oscillatory motino at two points separated by a distance of (i) 4m (ii) 0.5m (iii) lambda//2 (iv) 3lambda//4 ?

For the harmonic travelling wave y=2cos2pi(10t-0.0080x+3.5) where x and y ar in cm and t is in second. What is the phase diffference between the oscillatory motion at two points separated by a distance of

A travelling harmonic wave is given by y = 5 cos(20t - 0.0070 x + 0.12) where x, y are in cm and t is in seconds. Calculate the phase difference between two points separated by a distance of 0.5 m.

For a travelling haromonic wave , y=2.0cos(10t-0.0080x+0.818) where x and y are in cm and t is in sec. What is the phase difference between two points separated by (i) a distance of 0.5m (ii) time gap of 0.5s.

A wave travelling along a string is given by y(x, t) = 20 sin 2pi (t - 0.003 x) x, y are in cm and t is in seconds. Find the amplitude, frequency, wavelength and velocity of the wave.

The equation of a wave is y=2 sin pi (0.5x- 200 t) . Where x and y are expressed in cm and t in sec. The wave velocity is

A transverse harmonic wave is described by y(x, t) = 0.05 sin pi(4t - 0.03 x) (x is in metre). What will be the instantaneous phase difference between two points separated by 20 cm ?

MODERN PUBLICATION-WAVES-NCERT TEXTBOOK EXERCISES
  1. A stone dropped from the top of a tower of height 300 m high splashes...

    Text Solution

    |

  2. A steel wire has a length of 12.0m and a mass of 2.10kg. What should b...

    Text Solution

    |

  3. Use the formula v=sqrt((gamma P)/(rho)) to explain why the speed of so...

    Text Solution

    |

  4. You have learnt that a travelling wave in a dimension is represented b...

    Text Solution

    |

  5. A bat emits ultrasonic sound of frequency 1000 kHz in air. If the soun...

    Text Solution

    |

  6. A hospital uses an ultrasonic scanner to locate tumour in a tissue. Wh...

    Text Solution

    |

  7. A transverse harmonic wave on a strin is decribed by y(x,t) = 3.0 si...

    Text Solution

    |

  8. For the wave described in the displacement (y) versus (t) graphs for x...

    Text Solution

    |

  9. For the travelling harmonic wave y(x, t) = 2.0 cos 2pi (10 t - 0.0080 ...

    Text Solution

    |

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

    Text Solution

    |

  11. (i) The transverse displacement of a string (clamped at its two ends )...

    Text Solution

    |

  12. Given below are some functions of x and t to represent the displacemen...

    Text Solution

    |

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

    Text Solution

    |

  14. A metre-long tube open at one end, with a movable piston at the other ...

    Text Solution

    |

  15. A steel rod 100 cm long is clamped at its middle. The fundamental freq...

    Text Solution

    |

  16. A pipe 20cm long is closed at one end. Which harmonic mode of the pipe...

    Text Solution

    |

  17. Two sitar strings A and B playing the note 'Ga' are slightly out of tu...

    Text Solution

    |

  18. Explain why (or how) : (a) In a sound wave, a displacement node is a p...

    Text Solution

    |

  19. A train, standing at the outer signal of a railway station blows a whi...

    Text Solution

    |

  20. A train, standing in a stationyard, blows a whistle of frequency 400Hz...

    Text Solution

    |