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Chapter 38: Q12Q (page 1181)

An electron and a proton have the same kinetic energy. Which has the greater de Broglie wavelength?

Short Answer

Expert verified

The electron has greater de Broglie wavelength than proton.

Step by step solution

01

Describe the de Broglie wavelength

The de Broglie wavelength is given by,

位=hmv

Here, h is the plank鈥檚 constant, m is the mass and v is the velocity.

02

Find the particle which has greater de Broglie wavelength

From the de Broglie wavelength, it can be observed that the mass of the particle is inversely proportional to the wavelength.

It is known that the mass of the proton is mp=1.67脳10-27kg and the mass of the electron is me=9.11脳10-31kg. Clearly, the mass of the proton is more than the mass of the electron. So, the de Broglie wavelength of electron will be more than the de Broglie wavelength of proton.

Therefore, the electron has greater de Broglie wavelength than proton.

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Most popular questions from this chapter

(a) In Me V/c, what is the magnitude of momentum associated with a photon having an energy equal to the electron rest energy? What are the (b) wavelength and (c) frequency of the corresponding radiation?

Suppose we put A=0in Eq. 38-24 and relabeled Bas localid="1664290358337" 蠄0.

(a) What would the resulting wave function then describe?

(b) How, if at all, would Fig. 38-13 be altered?

Photoelectric effect: Figure 38-20 gives the stopping voltage V versus the wavelength 位of light for three different materials. Rank the materials according to their work function, greatest first.

An orbiting satellite can charge by the photoelectric effect when sunlight ejects electrons from its outer surface. Satellites must be designed to minimize such charging because it can ruin the sensitive microelectronics. Suppose a satellite is coated with platinum, a metal with a very large function (蠒=5.32eV). Find the longest wavelength of incident sunlight that can eject an electron from the platinum.

An electron and a photon each have a wavelength of 0.20nm. What is the momentum (in kg鈰�ms) of the (a) electron and (b) photon? What is the energy (in eV) of the (c) electron and (d) photon?
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