Understanding the Concepts
* Speed (v): How fast the wave travels (meters per second).
* Wavelength (λ): The distance between two consecutive crests or troughs (in this case, millimeters).
* Time Period (T): The time it takes for one complete wave cycle to pass a given point (in seconds).
Formula
The relationship between these is:
* v = λ / T
To find the time period (T), we can rearrange the formula:
* T = λ / v
Conversion
Before plugging in the values, make sure the units are consistent. Convert the wavelength from millimeters to meters:
* 10 mm = 0.01 meters
Calculation
Now, plug the values into the formula:
* T = 0.01 meters / 50 meters/second
* T = 0.0002 seconds
Answer
The time period of the wave is 0.0002 seconds or 200 microseconds.
