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Which of the following represent a trave...

Which of the following represent a travelling wave ?

A

`(x-vt)^(2)`

B

`l n(x+vt)`

C

`e^(-(x-vt)^2)`

D

`(1)/(x+vt)`

Text Solution

Verified by Experts

Althrough all the four functions are written in the form `f(ax pm bt)`, only (c) among the four functions is finite everywhere at all times, Hence only (c) represents a travelling wave.
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ALLEN -WAVES AND OSCILLATIONS-Part-1(Exercise-05)[B]
  1. Which of the following represent a travelling wave ?

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  2. A string of length 0.4 m and mass 10^(-2) kg is clamped at one end . T...

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  3. A train moves towards a stationary observer with speed 34 m//s. The tr...

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  4. Two vibrating strings of the same material but lengths L and 2L have ...

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  5. The ends of a stretched wire of length L are fixed at x = 0 and x = L....

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  6. Two pulse in a stretched string whose centers are initially 8cm apart ...

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  7. A siren placed at a railway platform is emitting sound of frequency 5 ...

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  8. A sonometer wire resonates with a given tuning fork forming a standing...

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  9. A police car moving at 22 m/s, chases a motorcylist. The police man so...

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  10. In the experiment for the determination of the speed of sound in air u...

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  11. A source of sound of frequency 600 Hz is placed inside water. The spee...

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  12. A closed organ pipe of length L and an open organ pipe contain gass of...

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  13. A source of sound of frequency 600 Hz is placed inside water. The spee...

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  14. An open pipe is in resonance in 2nd harmonic with frequency f(1). Now ...

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  15. A tuning fork of 512 H(Z) is used to produce resonance in a resonance ...

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  16. A massless rod BD is suspended by two identical massless strings AB an...

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  17. A transverse sinusoidal wave moves along a string in the positive x-di...

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  18. A vibrating string of certain length l under a tension T resonates wit...

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  19. The (x, y) co-ordinates of the corners of a square plate are (0, 0), (...

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  20. A transverse sinusoidal wave of amplitude a, wavelength lambda and fre...

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  21. As a wave propagates,

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