## Question

Standing waves are produced by the superposition of two waves

and

Where *x* and *y* are expressed in metres and *t* is in seconds. What is the amplitude of a particle at *x* = 0.5 *m*. Given

### Solution

5.4 cm

The resultant displacement is given by

Using the trigonometric relation

Where *R*, the amplitude of standing waves, is given by *R* = 0.1 cos 2*x* with

*x* = 0.5 m

#### SIMILAR QUESTIONS

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