Home
Class 12
PHYSICS
A wave travelling along the x-axis is de...

A wave travelling along the x-axis is described by the equation `y(x,t) = 0.005 cos(alpha t - beta t)`. If the wavelength and the time period of the wave in `0.08 m` and `2.0 s` respectively then `alpha` and `beta` in appropriate units are

A

`alpha=25.00 pi, beta= pi`

B

`alpha=(0.08)/(pi),(2.0)/(pi)`

C

`alpha=(0.04)/(pi), beta=(1.0)/(pi)`

D

`alpha=12.50 pi, beta=(pi)/(2.0)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • WAVES

    AAKASH SERIES|Exercise EXERCISE-II (Strings (Speed of a travelling wave:))|23 Videos
  • WAVES

    AAKASH SERIES|Exercise EXERCISE-II (Velocity of Sound:)|8 Videos
  • WAVES

    AAKASH SERIES|Exercise EXERCISE-IB (Assertion (A) & Reason (R) Type Questions)|72 Videos
  • WAVE OPTICS

    AAKASH SERIES|Exercise PROBLEMS (LEVEL - II)|33 Videos
  • WAVES OPTICS

    AAKASH SERIES|Exercise EXERCISE -III (POLARISITION)|10 Videos

Similar Questions

Explore conceptually related problems

A wave travelling along the x-axis is described by the equation v(x, t) = 0.005 cos(alpha x - betat) . If the wavelength and the time period of the wave are 0.08m and 2.0s , respectively, then alpha and beta in appropriate units are

A wave travelling along the x-axis is described by the equation y (x, t) = 0.005 sin ( alphax - betat ). If the wavelength and time period of the wave are 0.08 m and 2 s respectively, then alpha, beta in appropriate units are

A wave travelling along the x-axis is described by the equation y (x, t) = 0.005 sin ( alphax - betat ). If the wavelength and time period of the wave are 0.08 m and 2 s respectively, then alpha, beta in appropriate units are

A wave travelling along the x-axis is described by the equation y(x,t) = 0.005cos (alpha x - beta t) . If the 1wavelength and the time period of the wave are 0.08m and 2.0s, respectively, then alpha/beta = n xx 5 , then the value of n is____(where alpha, beta are in appropriate units).

A wave is represented by the equation y=0.5 sin (10 t-x)m . It is a travelling wave propagating along the + x direction with velocity

A pulse moving to the right along the x-axis is represented by the wave function where x and y are measured in cedntimetres and t is measured in seconds. Find expression for the wave function at t=0, t=1.0 s, and t=2.0 s and plote the shape of pulse at these lines.

The equation of a sound wave is y=0.0015sin(62.4x+316t) the wavelength of this wave is

A transverse wave propagating along x-axis is represented by: y(x,t)=8.0sin(0.5pix-4pit-(pi)/(4)) Where x is in metres and t is in seconds. The speed of the wave is:

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?

If at t = 0 , a travelling wave pulse in a string is described by the function, y = (10)/((x^(2) + 2 )) Hence, x and y are in meter and t in second. What will be the wave function representing the pulse at time t , if the pulse is propagating along positive x-axix with speed 2 m//s ?

AAKASH SERIES-WAVES-EXERCISE-II (Wave Equations & Basics :)
  1. Which of the following expressions is that of a simpleharmonic progres...

    Text Solution

    |

  2. The displacement y of a particle in a medium can be expressed as y=-6s...

    Text Solution

    |

  3. The equation of a transverse wave travelling on a rope given by y=10s...

    Text Solution

    |

  4. The angular frequency of a particle in a progressive wave in an elasti...

    Text Solution

    |

  5. A progressive wave moves with a velocity of 36m/s in a medium with a ...

    Text Solution

    |

  6. A progressive wave of frequency 500 Hz is travelling with a speed of 3...

    Text Solution

    |

  7. The speed of a wave in a medium is 760 m/s. If 3600 waves are passing ...

    Text Solution

    |

  8. A wire of 9.8xx10^(-3) kg/m passes over a frictionless light pulley fi...

    Text Solution

    |

  9. A uniform rope of mass of 0.1 kg and length 2.45 m hangs from the ceil...

    Text Solution

    |

  10. A wave travelling along the x-axis is described by the equation y(x,t)...

    Text Solution

    |

  11. When sound wave of wavelength lambda is propagating in a medium, the m...

    Text Solution

    |

  12. A wave of length 2m is superposed on its reflected wave to form a stat...

    Text Solution

    |

  13. The equation of a stationary wave is y = 0.8 cos ((pi x)/(20)) sin 20...

    Text Solution

    |

  14. The vibrations of a string fixed at both ends are represented by y = ...

    Text Solution

    |

  15. A stretched string of length 200cm supports a stationary wave with poi...

    Text Solution

    |

  16. Sound wave is travellimg along positive x -direction . Displacement...

    Text Solution

    |

  17. the wave described bt Y= 0.25 sin (10 pi xx - 2 xxt) where , x a...

    Text Solution

    |

  18. A wave travelling in the positive x-direction having displacement alon...

    Text Solution

    |

  19. A wave travelling along positive x-axis is given by y = A sin(omegat-k...

    Text Solution

    |