To determine which type of wave has a higher frequency and energy, we can use the relationship between wavelength (λ), frequency (f), and the speed of light (c), which is given by the equation:
\[ c = f \cdot \lambda \]
Where:
- \( c \) is the speed of light (approximately \( 3 \times 10^8 \) meters per second),
- \( f \) is the frequency in hertz (Hz),
- \( λ \) is the wavelength in meters.
From this equation, we can see that frequency and wavelength are inversely related: as the wavelength decreases, the frequency increases.
Comparing Wavelengths:
- AM waves: approximately 100 meters (longer wavelength).
- FM waves: approximately 1 meter (shorter wavelength).
Since FM has a shorter wavelength than AM, it will have a higher frequency.
Comparing Energy: The energy of a photon is given by the equation:
\[ E = h \cdot f \]
Where:
- \( E \) is the energy,
- \( h \) is Planck's constant (approximately \( 6.626 \times 10^{-34} \) J·s),
- \( f \) is the frequency.
Since FM waves have a higher frequency, they will also have higher energy compared to AM waves.
Conclusion: FM has a higher frequency and higher energy than AM. Therefore, the correct response is:
FM has a higher frequency and higher energy.
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