Home
Class 11
PHYSICS
For a progressive wave, y = 5 sin (0.01 ...

For a progressive wave, `y = 5 sin (0.01 x - 2t)` (where x and y are in cm and t is in s). What will be its speed od propagation ?

Text Solution

Verified by Experts

Comparing `y =5 sin (0.01x -2t)` with ` y = A sin (kx - omega t )`
We get `k =0.01 rad//cm, omega =2 rad//s`
Now, wave velocity is `v = (omega )/(k) = (2)/(0.01) =200 cm//s`
Promotional Banner

Topper's Solved these Questions

  • WAVES

    KUMAR PRAKASHAN|Exercise SECTION-C (Objective Questions (VSQs)) (True or False)|14 Videos

  • WAVES

    KUMAR PRAKASHAN|Exercise SECTION-C (Objective Questions (VSQs)) (Match Type Questions)|6 Videos

  • WAVES

    KUMAR PRAKASHAN|Exercise SECTION-B (Numericals) (Numerical from .DARPAN. Based on Textbook)|13 Videos

  • UNITS AND MEASUREMENT

    KUMAR PRAKASHAN|Exercise Section -F (Questions from Module )|20 Videos

  • WORK, ENERGY AND POWER

    KUMAR PRAKASHAN|Exercise QUESTION PAPER (SECTION - D)|1 Videos

Similar Questions

Explore conceptually related problems

in the given progressive wave y = 5 sin (100 pi t -0.4 pi x) where y and x are in metre, t is in second. What is the (a) amplitude (b) wave length (c) frequency (d) wave velocity (e) particle velocity amplitude,

A transverse harmonic wave on a string is described by y(x,t) = 3.0 sin (36 t + 0.018x + pi//4) where x and y are in cm and t in s. The positive direction of x is from left to right (a) Is this a travelling wave or a stationary wave? If it is travelling what are the speed and direction of its propagation? (b) What are its amplitude and frequency? (c ) What is the initial phase at the origin ? (d) What is the least distance between two successive crests in the wave?

The wave function of a pulse is given by y=(5)/((4x+6t)^(2)) where x and y are in metre and t is in second :- (i) Identify the direction of propagation (ii) Determine the wave velocity of the pulse

A string vibrate according to the equation y = 5 sin ((pi x)/(3)) cos (40 pi t) where x and y in cm's and t is in second. (i) What is the equation of incident and reflected wave ? (ii) What is the distance between the adjacent nodes ? (iii) What is the velocity of the particle of the string at the position x = 1.5 cm when t = (9)/(8) sec ?

The vibrations of a string of length 60cm fixed at both ends are represented by the equation---------------------------- y = 4 sin ((pix)/(15)) cos (96 pit) Where x and y are in cm and t in seconds. (i) What is the maximum displacement of a point at x = 5cm ? (ii) Where are the nodes located along the string? (iii) What is the velocity of the particle at x = 7.5 cm at t = 0.25 sec .? (iv) Write down the equations of the component waves whose superpositions gives the above wave.

The transverse displacement of a string (clamped at its both ends) is given by y(x, t) = 0.06 sin ((2 x)/(3) x) cos (120 pi t) where x and y are in m and t in s. The length of the string is 1.5 m and its mass is 3.0 xx 10^(-2) kg . Answer the following : (a) Does the function represent a travelling wave or a stationary 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 ? (c ) Determine the tension in the string.

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

KUMAR PRAKASHAN-WAVES-SECTION-C (Objective Questions (VSQs))
  1. If tension in a wire is made four times, then what will be the change ...

    Text Solution

    |

  2. When pressure on a gaseous medium is changed at constnat temperature, ...

    Text Solution

    |

  3. For a progressive wave, y = 5 sin (0.01 x - 2t) (where x and y are in ...

    Text Solution

    |

  4. What will be the change in phase of wave due to reflection from rigid ...

    Text Solution

    |

  5. Give values of amplitude at node and anti-node.

    Text Solution

    |

  6. In one stationary wave if distance between consecutive node and antino...

    Text Solution

    |

  7. Fundamental frequency of one closed pipe is 300 Hz. What will be the f...

    Text Solution

    |

  8. When wave propagating in one medium, enters another medium, which of t...

    Text Solution

    |

  9. When source of sound moves away from stationary listener we obtian f (...

    Text Solution

    |

  10. In case of beats, produced by the superposition of two waves of equal ...

    Text Solution

    |

  11. When two violin wires with different fundamental frequencies are vibra...

    Text Solution

    |

  12. What will be the shape of speed of sound in air versus pressure at con...

    Text Solution

    |

  13. What is the phase difference between consecutive crest and through ?

    Text Solution

    |

  14. Light waves are…. And ……

    Text Solution

    |

  15. Which order of harmonics is missing or absent in case of stationary so...

    Text Solution

    |

  16. At constant pressure, out of H (2) and O(2) gas in which gas speed of ...

    Text Solution

    |

  17. Mention the type of ultrasonic waves and its frequency.

    Text Solution

    |

  18. Mention the range of audible range for the humans.

    Text Solution

    |

  19. What is the distance between consecutive compression and rarefaction i...

    Text Solution

    |

  20. When a vibrating tuning fork moves towards a wall, why do we hear soun...

    Text Solution

    |