Home
Class 11
PHYSICS
The transverse displacement y(x,t) of a ...

The transverse displacement y(x,t) of a wave on a string is given by `y(x,t) = e^(-(ax^2+bt^2-2sqrt(abxt) )` This represents a :

A

standing wave of frequency `sqrtb`

B

wave moving in -x direction with speed `sqrt(b/a)`

C

standing wave of frequency `1/(sqrt(b))`

D

wave moving in + x directin with speed `sqrt(a/b)`.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Oscillations and Waves

    JBD PUBLICATION|Exercise EXAMPLE|97 Videos

  • MOTION OF SYSTEM OF PARTICLES AND RIGID BODY

    JBD PUBLICATION|Exercise EXAMPLE|100 Videos

  • PHYSICAL WORLD AND MEASUREMENT

    JBD PUBLICATION|Exercise EXAMPLE|105 Videos

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. Does the function represent a travelling wave or a stationary wave ?

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. Interpret the wave as a superposition of two waves travelling in opposite directions. What is the wavelength, frequency, and speed of each wave ?

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

A transverse harmonic wave on a string is described by y(x. t) = 3.0 sin (36 t + 0.018 x + (pi//4)) where x and y are in cm and tin s. The positive direction of x is from left to right. Is this a travelling wave or a stationary wave ? If it is travelling, what are the speed and direction of its propagation ?

Given below are some functions of x and t to represent the displacement of an elastic wave. y=4 cos (5x-t/2)+3 cos (5x-t/2). State which of these represent (a) a travelling wave along (−x) direction (b) a stationary wave (c) beats (c) a travelling wave along (+x) direction. Give reasons for the answers.

A transverse harmonic wave on a string is described by y(x. t) = 3.0 sin (36 t + 0.018 x + (pi//4)) where x and y are in cm and tin s. The positive direction of x is from left to right. What is the least distance between two successive crests in the wave ?

A transverse harmonic wave on a string is described by y(x. t) = 3.0 sin (36 t + 0.018 x + (pi//4)) where x and y are in cm and tin s. The positive direction of x is from left to right. What are its amplitude and frequency ?

A transverse harmonic wave on a string is described by y(x. t) = 3.0 sin (36 t + 0.018 x + (pi//4)) where x and y are in cm and tin s. The positive direction of x is from left to right. What is the initial phase at the origin ?

Given below are some functions of x and t to represent the displacement of an elastic wave. y= 5 cos (4x) sin (20t) State which of these represent (a) a travelling wave along (−x) direction (b) a stationary wave (c) beats (c) a travelling wave along (+x) direction. Give reasons for the answers.

The displacement of a particle is given by x = (t-2)^2 where x is in metres and t in seconds. The distance covered by the particle in first 4 seconds is

JBD PUBLICATION-Oscillations and Waves-EXAMPLE
  1. The transverse displacement y(x,t) of a wave on a string is given by y...

    Text Solution

    |

  2. Is S.H.M. always linear?

    Text Solution

    |

  3. Are all periodic motions oscillatory?

    Text Solution

    |

  4. At what points is the energy entirely potential and entirely kinetic i...

    Text Solution

    |

  5. If we cut the spring into parts.How does the spring constant of each p...

    Text Solution

    |

  6. Why is there always a time gap between observing flash and hearing a t...

    Text Solution

    |

  7. Is energy conserved in interference?

    Text Solution

    |

  8. Define longitudinal wave.

    Text Solution

    |

  9. A tuning fork has two prongs.Why?

    Text Solution

    |

  10. Is there any relation between uniform circular motion and S.H.M?

    Text Solution

    |

  11. What is the differential equatio of S.H.M.?

    Text Solution

    |

  12. Can we ever consrtruct an ideal simple pendulum?

    Text Solution

    |

  13. Can a body have zero velocity and still be accelerated?

    Text Solution

    |

  14. What is the relation between path difference and phase difference?

    Text Solution

    |

  15. What types of waves are possible in solids?

    Text Solution

    |

  16. In which medium a wave can propagate?

    Text Solution

    |

  17. What is the effect of pressure on the speed of sound?

    Text Solution

    |

  18. How can the frequency of a tuning fork be changed?

    Text Solution

    |

  19. why a tunung fork should be struck gently with a rubber pad?

    Text Solution

    |

  20. Why the strings of different thickness and different materials are us...

    Text Solution

    |

  21. What is the distance between two consecutive antinodes or nodes?

    Text Solution

    |