Microwaves, such as those used for radar and
to heat food in a microwave oven, have wavelengths greater than about 3 mm. What
is the frequency of radiation of wavelength
13.82 mm?
2233
To find the frequency of radiation with a given wavelength, you can use the formula:
frequency = speed of light / wavelength
The speed of light is a constant value of approximately 3 × 10^8 meters per second.
First, you need to convert the wavelength from millimeters to meters:
wavelength = 13.82 mm = 13.82 × 10^(-3) meters
Now, you can substitute the values into the formula:
frequency = (3 × 10^8 meters per second) / (13.82 × 10^(-3) meters)
To simplify the calculation, you can convert both values to scientific notation:
frequency = (3 × 10^8) / (13.82 × 10^(-3))
To divide the two values, you need to subtract the exponents:
frequency = (3 × 10^8) / (13.82 × 10^(-3)) = 3 × 10^(8-(-3))
Simplifying further:
frequency = 3 × 10^(8+3) = 3 × 10^11
Therefore, the frequency of radiation with a wavelength of 13.82 mm is approximately 3 × 10^11 Hz (Hertz).