An AM radio station broadcasts at 1000 kHz and its FM partner broadcasts at 100 MHz. Calculate and compare the energy of the photons emitted by these two radio stations.

검증된 단계별 안내

Convert the frequencies of both the AM and FM radio stations from MHz and kHz to Hz. Remember that 1 MHz = 1,000,000 Hz and 1 kHz = 1,000 Hz.

Use the formula for the energy of a photon, E = h \(\cdot\) f, where E is the energy, h is Planck's constant (approximately 6.626 x 10^{-34} Joule seconds), and f is the frequency in Hz.

Substitute the frequency of the AM radio station into the formula and calculate the energy of a photon emitted by the AM station.

Substitute the frequency of the FM radio station into the formula and calculate the energy of a photon emitted by the FM station.

Compare the energies of the photons emitted by the AM and FM stations to understand the difference in energy based on the frequency of the radio waves.

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이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Photon Energy

Photon energy is directly related to its frequency and can be calculated using the equation E = hν, where E is energy, h is Planck's constant (6.626 x 10^-34 J·s), and ν is the frequency in hertz. Higher frequency photons carry more energy, which is crucial for comparing the energy emitted by different radio stations.

Frequency and Wavelength

Frequency is the number of cycles of a wave that pass a point in one second, measured in hertz (Hz). In radio waves, frequency and wavelength are inversely related; as frequency increases, wavelength decreases. This relationship is important for understanding how different radio stations operate at varying frequencies.

Units of Measurement

In this context, frequencies are given in kilohertz (kHz) and megahertz (MHz), where 1 MHz equals 1000 kHz. Understanding these units is essential for accurately calculating and comparing the energies of the photons emitted by the AM and FM radio stations, ensuring proper conversions are applied.