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Chapter 7: Problem 14

What are photons? What role did Einstein's explanation of the photoelectric effect play in the development of the particle-wave interpretation of the nature of electromagnetic radiation?

Short Answer

Expert verified
Photons are quantum particles of light and electromagnetic radiation with no mass. Einstein explained the photoelectric effect, showing that light consists of discrete wave packets (photons) that transfer energy. This explanation bolstered the particle-wave interpretation of electromagnetic radiation.

Step by step solution

01

Define Photons

Photons are elementary particles, the quantum particles of light and all other forms of electromagnetic radiation, and the force carrier for the electromagnetic force. They possess zero mass and exist in vacuo traveling at the speed of light.
02

Explain Einstein's Photoelectric Effect

Einstein's photoelectric effect is the observation that many metals emit electrons when light shines upon them. Einstein explained this by proposing that a beam of light is not a wave propagating through space, but rather a collection of discrete wave packets (photons), each with energy. This energy is transferred to electrons in the metal.
03

Discuss the Particle-Wave Nature of Electromagnetic Radiation

Einstein's explanation of the photoelectric effect contributed to the development of the particle-wave interpretation of electromagnetic radiation. This interpretation acknowledges that electromagnetic radiation exhibits properties of both particles and waves. This dual nature was a major contribution to the development of quantum mechanics, explaining the interaction between light and matter.

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Most popular questions from this chapter

Briefly explain Planck's quantum theory and explain what a quantum is. What are the units for Planck's constant?

Give two everyday examples that illustrate the concept of quantization.

The UV light that is responsible for tanning the skin falls in the 320 - to 400 -nm region. Calculate the total energy (in joules) absorbed by a person exposed to this radiation for \(2.0 \mathrm{~h}\), given that there are \(2.0 \times\) \(10^{16}\) photons hitting Earth's surface per square centimeter per second over a \(80-\mathrm{nm}(320 \mathrm{nm}\) to \(400 \mathrm{nm})\) range and that the exposed body area is \(0.45 \mathrm{~m}^{2}\). Assume that only half of the radiation is absorbed and the other half is reflected by the body. (Hint: Use an average wavelength of \(360 \mathrm{nm}\) in calculating the energy of a photon.)

A ruby laser produces radiation of wavelength \(633 \mathrm{nm}\) in pulses whose duration is \(1.00 \times 10^{-9} \mathrm{~s}\) (a) If the laser produces \(0.376 \mathrm{~J}\) of energy per pulse, how many photons are produced in each pulse? (b) Calculate the power (in watts) delivered by the laser per pulse. \((1 \mathrm{~W}=1 \mathrm{~J} / \mathrm{s} .)\)

What is the total number of electrons that can be held in all orbitals having the same principal quantum number \(n ?\)
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