## Question

The particle displacements in a travelling harmonic wave are given by

Where *x* and *y* are in centimeters and *t* is in seconds. What is the phase difference between oscillatory motion at two points separated by a distance of 4 m?

### Solution

0.4

The phase difference âˆ†Ï• between particles separated by a distance âˆ†*x* is given by

Where λ is the wavelength. Now we know that

= coefficient of *x* in the argument of the sine or cosine function

since a phase change of 2π, 4π, 6π, etc. Implies no phase change.

#### SIMILAR QUESTIONS

A cylindrical tube, open at both ends, has fundamental frequency *n*. If one of the ends is closed, the fundamental frequency will become

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