Book edition 10th Edition

Author(s) David Halliday

Pages 1328 pages

ISBN 9781118230718

Answers without the blur.

Just sign up for free and you're in.

Short Answer

The following nonrelativistic particles all have the same kinetic energy. Rank them in order of their de Broglie wavelengths, greatest first: electron, alpha particle, neutron.

The rank is electron, neutron, alpha particle.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Describe the de Broglie wavelength

The de Broglie wavelength is given by,

$λ = \frac{h}{m v}$

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

Step 2: Rank the de Broglie wavelengths for electron, alpha particle, and neutron

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 neutron is $m_{n} = 1.67 \times 10^{- 27} kg$ , the mass of alpha particle is $m_{α} = 6.664 \times 10^{- 27} kg$ and the mass of the electron is $m_{e} = 9.11 \times 10^{- 31} kg$ . Clearly, $m_{e} < m_{n} < m_{α}$ . So, rank of de Broglie wavelength is $λ_{e} > λ_{n} > λ_{α}$ .

Therefore, the rank is electron, neutron, alpha particle.

Find Study Materials for

Create Study Materials

Select your language

Fundamentals Of Physics

Answers without the blur.

Short Answer

The following nonrelativistic particles all have the same kinetic energy. Rank them in order of their de Broglie wavelengths, greatest first: electron, alpha particle, neutron.

Step by Step Solution

Step 1: Describe the de Broglie wavelength

Step 2: Rank the de Broglie wavelengths for electron, alpha particle, and neutron

Most popular questions for Physics Textbooks

Want to see more solutions like these?

Recommended explanations on Physics Textbooks

Select your language

Fundamentals Of Physics

Answers without the blur.

Short Answer

The following nonrelativistic particles all have the same kinetic energy. Rank them in order of their de Broglie wavelengths, greatest first: electron, alpha particle, neutron.

Step by Step Solution

Step 1: Describe the de Broglie wavelength

Step 2: Rank the de Broglie wavelengths for electron, alpha particle, and neutron

Most popular questions for Physics Textbooks

Want to see more solutions like these?

Recommended explanations on Physics Textbooks

Work Energy and Power

Radiation

Astrophysics

Physics of Motion

Scientific Method Physics

Fluids

Torque and Rotational Motion

Nuclear Physics

Fields in Physics

Measurements

Space Physics

Electricity

Physical Quantities and Units

Medical Physics

Electrostatics

Further Mechanics and Thermal Physics

Mechanics and Materials

Engineering Physics

Energy Physics

Force

Particle Model of Matter

Waves Physics

Magnetism

Modern Physics

Atoms and Radioactivity

Dynamics

Electricity and Magnetism

Conservation of Energy and Momentum

Fundamentals of Physics

Kinematics Physics

Circular Motion and Gravitation

Linear Momentum

Rotational Dynamics

Oscillations

Translational Dynamics

Geometrical and Physical Optics

Thermodynamics

Magnetism and Electromagnetic Induction

Electromagnetism

Electric Charge Field and Potential

Turning Points in Physics