To determine which has a higher frequency and which has higher energy, we can use the relationship between wavelength (\(\lambda\)), frequency (\(f\)), and energy (\(E\)).
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Frequency: The frequency of a wave is inversely related to its wavelength. This means that as the wavelength decreases, the frequency increases.
The formula linking them is: \[ f = \frac{c}{\lambda} \] where \(c\) is the speed of light (approximately \(3 \times 10^8 \ m/s\)).
- For AM waves (100 meters): \[ f_{AM} = \frac{c}{100 \ m} \]
- For FM waves (1 meter): \[ f_{FM} = \frac{c}{1 \ m} \]
Since 1 meter is less than 100 meters, FM waves have a higher frequency than AM waves.
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Energy: The energy of the wave is related to the frequency by the equation: \[ E = hf \] where \(h\) is Planck's constant. Since energy is directly proportional to frequency, the wave with the higher frequency will also have the higher energy.
Since FM has a higher frequency, it will also have higher energy.
Based on this analysis, the answer is:
FM has a higher frequency and higher energy.
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