Book edition 2nd Edition

Author(s) Randy Harris

Pages 633 pages

ISBN 9780805303087

Answers without the blur.

Just sign up for free and you're in.

Short Answer

$10$ A beam of electrons strikes a barrier with two narrow but equal-width slits. A screen is located beyond the barrier. And electrons are detected as they strike the screen. The "center" of the screen is the point equidistant from the slits. When either slit alone is open, electrons arrive per second in a very small region at the center of the screen. When both slits are open, how many electrons will arrive per second in the same region at the center of the screen?

The number of electrons when both slits are open $n=40$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Given Data.

Number of electrons when one slit is open $n_{1} =10/sec$

To find the number of electrons when both slits are open $n_{2} =?$

Step 2: Concept Introduction

The following relationship can be used to describe the probability of detecting a particle in a given region.

$probability of finding a particle \propto {(amplitude)}^{2}$ ……………….(1)

The number of electrons that can be found in the region every second equals the probability of discovering a particle.

Step 3: Single slit open.

When there is only one slit open, useequation (1), such that

$\begin{array}{l} {probability of finding a particle, n}_{1} \propto {(amplitude)}^{2} \\ 10 \propto {(amplitude)}^{2} \end{array}$

$amplitude \propto \sqrt{10}$ ……………….(2)

Step 3: Two slits are open condition.

When two slits are opened at the same time, the amplitude doubles, assuming they are the same size. Therefore, using equation (2), we can write

$A=2 \sqrt{10}$ ………………(3)

Therefore, using the equations (2) and (3), we get,

role="math" localid="1659078958778" $\begin{matrix} {probability of finding a particle, n}_{2} \propto {(2 \sqrt{10})}^{2} \\ \propto 4×(10) \\ \propto 40 \end{matrix}$

Therefore $n_{2} =40$ when the two slits are open condition.

Find Study Materials for

Create Study Materials

Select your language

Modern Physics

Answers without the blur.

Short Answer

Step by Step Solution

Step 1: Given Data.

Step 2: Concept Introduction

Step 3: Single slit open.

Step 3: Two slits are open condition.

Most popular questions for Physics Textbooks

Want to see more solutions like these?

Recommended explanations on Physics Textbooks

Select your language

Modern Physics

Answers without the blur.

Short Answer

Step by Step Solution

Step 1: Given Data.

Step 2: Concept Introduction

Step 3: Single slit open.

Step 3: Two slits are open condition.

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