Find the energy in electronvolts of (a) a 1.0-MHz radio photon, (b) a 5.0 ×10^14-Hz optical phot

step 1 Hi, here in the first part of the given problem, frequency of the radio photon f is equal to 1 .

Find the energy in electronvolts of (a) a 1.0-MHz radio...

Find the energy in electronvolts of (a) a $1.0-\mathrm{MHz}$ radio photon, (b) a $5.0 \times 10^{14}-\mathrm{Hz}$ optical photon, and (c) a $3.0 \times 10^{18}-\mathrm{Hz} \mathrm{X}$-ray photon.Find the energy in electronvolts of (a) a $1.0-\mathrm{MHz}$ radio photon, (b) a $5.0 \times 10^{14}-\mathrm{Hz}$ optical photon, and (c) a $3.0 \times 10^{18}-\mathrm{Hz} \mathrm{X}$-ray photon.

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Key Concepts

Frequency and the Electromagnetic Spectrum

The frequency of a photon determines its energy and also its position within the electromagnetic spectrum. Different ranges of frequencies correspond to different types of radiation, such as radio, optical, or X-rays, each with distinct physical properties and applications.

Electronvolt and Energy Unit Conversion

The electronvolt (eV) is a unit of energy commonly used in atomic, nuclear, and particle physics. Converting energy from joules to electronvolts (using the conversion factor 1 eV = 1.602×10?¹? joules) is important for comparing the energy scales of photons in different parts of the electromagnetic spectrum.

Photon and Electromagnetic Radiation

Photons are the quantum packets of electromagnetic radiation, each carrying a discrete amount of energy. They are fundamental to understanding light and other types of electromagnetic waves, where the energy of a photon directly depends on its frequency.

Planck's Equation

Planck's equation, E = hf, relates the energy (E) of a photon to its frequency (f) by using Planck's constant (h). This relationship is crucial in quantum mechanics for quantifying the energy carried by electromagnetic radiation.

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