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Fundamentals Of Physics
Found in: Page 1181
Fundamentals Of Physics

Fundamentals Of Physics

Book edition 10th Edition
Author(s) David Halliday
Pages 1328 pages
ISBN 9781118230718

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Short Answer

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

The electron has greater de Broglie wavelength than proton.

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Step by Step Solution

TABLE OF CONTENTS :
TABLE OF CONTENTS

Step 1: Describe the de Broglie wavelength

The de Broglie wavelength is given by,

λ=hmv

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

Step 2: 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=1.67×10-27 kg and the mass of the electron is me=9.11×10-31 kg. 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.

Most popular questions for Physics Textbooks

Question: An electron moves through a region of the uniform electric potential of -200 V with a (total) energy of 500 eV. What are its (a) kinetic energy (in electron-volts), (b) momentum, (c) speed, (d) de Broglie wavelength, and (e) angular wave number?

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 (ϕ=5.32 eV). Find the longest wavelength of incident sunlight that can eject an electron from the platinum.

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