What is the relationship between energy and frequency?

Emily Campbell | 2018-04-06 09:55:21 | page views:1002
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Julian Harris

Works at the International Fund for Agricultural Development, Lives in Rome, Italy.
As a domain expert in physics, I can explain the relationship between energy and frequency. The connection between these two concepts is described by the equation of Planck-Einstein relation, which states that the energy (E) of a photon is directly proportional to its frequency (ν). The mathematical expression is: \[ E = h \cdot \nu \] Where \( E \) is the energy of the photon, \( h \) is the Planck's constant (approximately \( 6.626 \times 10^{-34} \) joule-seconds), and \( \nu \) is the frequency of the photon. Now, let's address the relationship between frequency and wavelength. The speed of light (c) in a vacuum is a constant, and it is the product of the wavelength (\( \lambda \)) and the frequency (ν): \[ c = \lambda \cdot \nu \] Given that the speed of light is a constant (\( c \approx 3 \times 10^8 \) meters per second), if the frequency increases, the wavelength must decrease to maintain the equality, and vice versa. Therefore, higher frequencies correspond to shorter wavelengths and, according to the Planck-Einstein relation, higher energy. So, to summarize: - The energy of a photon is directly proportional to its frequency. - The wavelength is inversely proportional to the frequency. - Higher frequencies (shorter wavelengths) mean higher energy.

Ava Patel

Studied at the University of California, Berkeley, Lives in Berkeley, CA, USA.
The greater the energy, the larger the frequency and the shorter (smaller) the wavelength. Given the relationship between wavelength and frequency �� the higher the frequency, the shorter the wavelength �� it follows that short wavelengths are more energetic than long wavelengths.

Declan Johnson

QuesHub.com delivers expert answers and knowledge to you.
The greater the energy, the larger the frequency and the shorter (smaller) the wavelength. Given the relationship between wavelength and frequency �� the higher the frequency, the shorter the wavelength �� it follows that short wavelengths are more energetic than long wavelengths.
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