To calculate the frequency of a wave, you can use the formula:
frequency = speed of light / wavelength
The speed of light is approximately 3 x 10^8 meters per second.
Using the given wavelength of 3.5 x 10^-1 meters, we can substitute these values into the formula:
frequency = (3 x 10^8 m/s) / (3.5 x 10^-1 m)
Simplifying this expression, we can multiply the numerator and denominator by 10 to get the same power of 10 in the denominator:
frequency = (3 x 10^8 m/s) / (0.35 m)
Now we can divide the numerator by the denominator:
frequency ≈ 8.57 x 10^8 Hz
Therefore, a microwave with a wavelength of 3.5 x 10^-1 meters has a frequency of approximately 8.57 x 10^8 Hz (hertz).