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Chapter 34: Problem 4

What colors of visible light have the highest-energy photons?

Short Answer

Expert verified
The colors of visible light with the highest-energy photons are violet and blue.

Step by step solution

01

Understand the question

Recognize that the exercise is asking which colors of light have the highest-energy photons. This requires understanding the relationship between color, frequency, wavelength, and energy.
02

Identify wavelength and frequency relationship

Understand that within the visible light spectrum, violet light waves have the shortest wavelength and the highest frequency. Also know that red light has the longest wavelength and the lowest frequency.
03

Apply the energy and frequency relationship

Remember that the energy of a photon increases with frequency - that is, the higher the frequency of the light, the higher the energy of its photons. This is expressed mathematically in the equation \(E = h * \nu\), where \(E\) stands for energy, \(h\) for Planck's constant, and \(\nu\) for frequency.
04

Draw the conclusion

From steps 2 and 3, one can conclude that the colors of visible light with the highest-frequency (and therefore the shortest wavelength) - namely violet and blue - will have the highest-energy photons.

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Most popular questions from this chapter

Why are the lines of the Lyman series in the ultraviolet while some Balmer lines are in the visible?

The radiance of a black body peaks at \(558 \mathrm{nm}\). (a) What's its temperature? (b) How does its radiance at 382 nm (violet light) compare with that at 694 nm (red light)?

A photon undergoes a \(90^{\circ}\) Compton scattering off a stationary electron, and the electron emerges with total energy \(\gamma m_{e} c^{2}\) where \(\gamma\) is the relativistic factor introduced in Chapter \(33 .\) Find an expression for the initial photon energy.

An electron is moving in the \(+x\) -direction with speed measured at \(50 \mathrm{Mm} / \mathrm{s},\) accurate to \(\pm 10 \% .\) What's the minimum uncertainty in its position?

The maximum electron energy in a photoelectric experiment is \(2.8 \mathrm{eV} .\) When the wavelength of the illuminating radiation is increased by \(50 \%,\) the maximum energy drops to \(1.1 \mathrm{eV}\). Find (a) the work function of the emitting surface and (b) the original wavelength.
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