To determine which wave has a higher frequency and higher energy, we can use the relationship between wavelength, frequency, and energy.
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Frequency:
- The frequency (f) and wavelength (λ) of a wave are related by the equation: \[ f = \frac{c}{\lambda} \] where \( c \) is the speed of light (approximately \( 3 \times 10^8 \) meters/second).
- For AM waves (100 meters): \[ f_{AM} = \frac{3 \times 10^8 \text{ m/s}}{100 \text{ m}} = 3 \times 10^6 \text{ Hz} \]
- For FM waves (1 meter): \[ f_{FM} = \frac{3 \times 10^8 \text{ m/s}}{1 \text{ m}} = 3 \times 10^8 \text{ Hz} \]
- Thus, FM waves have a higher frequency than AM waves.
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Energy:
- The energy (E) of a photon is related to its frequency by the equation: \[ E = h f \] where \( h \) is Planck's constant (approximately \( 6.626 \times 10^{-34} \) J·s).
- Since FM waves have a higher frequency, they also have a higher energy.
Considering this analysis:
- FM waves have a higher frequency and higher energy than AM waves.
The correct response is: FM has a higher frequency and higher energy.