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Diagnostic x-rays may have wavelengths of about 1.00 x 10^-10 m. At what frequency would these particles travel?



User Savlon
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1 Answer

11 votes
11 votes

Answer:

2.998 *10^18 Hz

Step-by-step explanation:

The wavelength can be thought of as like a distance, and the frequency is the inverse time, or 1/s. The wave in question is an x-ray, and all electromagnetic waves travel at the speed of light (in a vacuum anyways). The speed is 2.998*10^8 m/s

Speed = distance / time
2.998*10^8 m/s = 1.00 x 10^-10 m / time
time = 3.33555704e-19 seconds
frequency = 1 / time = 1 / 3.33555704e-19 s = 2.998 *10^18 Hz
Conversion to time is unnecessary, since you can use the formula:
Speed = distance * frequency
since frequency = 1 / time

User Ivan Shakhov
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