Home
Class 11
PHYSICS
A wave on a string is described by y(x,t...

A wave on a string is described by `y(x,t)=0.005sin(6.28x-314t)`, in which all quantities are in SI units. Calculate its amplitude and wavelength.

Text Solution

Verified by Experts

The correct Answer is:
(i)0.005 m (ii)1m
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A wave travelling along a string is given by y(x,t)=0.05 sin (40x-5t) , in which numerical constants are in SI units. Calculate the displacement at distance 35 cm from origin, and time 10 sec.

A wave travelling along a strong is described by y(x,t)=0.005 sin (80.0x-3.0t) in which the numerical constants are in SI units (0.005m, 80.0 rad m^(-1) and 3.0 rad s^( -1)) . Calculate (a) the amplitude. (b) the wavelength (c) the period and frequency of the wave. Also , calculate the displacement y of the wave at a distance x=30.0 cm and time t=20 s?

A wave travelling in a string is y(x, t) = 0.4 sin (30x - 2t) where all numerical constants are in SI units. Calculate the displacement at a distance of 25 cm and t = 6s.

The displacement of a standing wave on a string is given by y (x,t) = 0.4 sin (0.5x) cos (30t) where x and y are in centimetres. (a) Find the frequency, amplitude and wave speed of the component waves. (b) What is the particle velocity at x=2.4 cm at t=0.8 s ?

The equation of a simple harmonic progressive wave is y = "sin" (pi)/(2) [(4t)/(0.025) - (x)/(0.25)] where all the quantities are in SI units. What is the amplitude and frequency of the wave ?

The equation of simple harmonic progressive wave is given by Y=0.05 sin pi[20t-(x)/(6)] , where all quantities are is S.I. units. Calculate the displacement of a particle at 5 m from origin and at the instant 0.1 second.

A transverse harmonic wave on a string is described by y(x, t) = 3sin ( 36t + 0.018x + ~) where x and Y are in cm and t is in s. Which of the following statements is incorrect? (

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 vibrating string is y=0.01cos4pixxsin200pit Where all quantities are expressed in SI units. Then the amplitude of component wave is

SL ARORA-WAVE MOTION-All Questions
  1. The equation of a transverse wave travelling along a coil spring is ...

    Text Solution

    |

  2. The equation of a transverse wave is given by y=10 sin pi (0.01 x -...

    Text Solution

    |

  3. A wave on a string is described by y(x,t)=0.005sin(6.28x-314t), in whi...

    Text Solution

    |

  4. A harmonic wave travelling along the position direction of X-axis is r...

    Text Solution

    |

  5. The equation of a transverse wave travelling along the X-axis is givey...

    Text Solution

    |

  6. If the equation for the transverse wave in a string is given by y=5 ...

    Text Solution

    |

  7. For a travelling harmonic wave , y=2.0cos(10t-0.0080x+0.818) where x a...

    Text Solution

    |

  8. The equation of simple harmonic wave is given by x=4 cos (500 t-0.02...

    Text Solution

    |

  9. Find the displacement of an air particle 3.5 m from the origin of dist...

    Text Solution

    |

  10. A simple harmonic wave-train is travelling in a gas in the positive di...

    Text Solution

    |

  11. The phase difference between the vibrations of two medium particles du...

    Text Solution

    |

  12. The distance between two points on a stretched string is 20 cm. A prog...

    Text Solution

    |

  13. A sound source of frequency 500 Hz is producing longitudinal waves in ...

    Text Solution

    |

  14. A drop of water 2 mm in diameter falling from a height of 50 cm in a b...

    Text Solution

    |

  15. The distance between two consecutive in a stationary wave is 25 cm . I...

    Text Solution

    |

  16. The equation of a longitudinal stationary wave produced in a closed or...

    Text Solution

    |

  17. Write the equation of a wave identical to the wave represented by the ...

    Text Solution

    |

  18. A string 1 m long with mass 0.1 g cm^(-1) is under a tension of 400 N....

    Text Solution

    |

  19. A string 50 cm long and weighing 1.0 g produces a note of 100 Hz on pl...

    Text Solution

    |

  20. A cord 80 cm long is stretched by a load of 8.0 kg f.The mass per unit...

    Text Solution

    |