   Chapter 29, Problem 80PE

Chapter
Section
Textbook Problem

Integrated Concepts(a) Calculate the velocity of electrons that form the same pattern as 450-nm light when passed through a double slit. (b) Calculate the kinetic energy of each and compare them. (c) Would either be easier to generate than the other? Explain.

To determine

(a)

The velocity of electrons that form the same pattern as450nm light when passed through a double slit.

Explanation

Given Data:

Given that electrons form the same pattern as450nm light when passed through a double slit.

Formula Used:

Velocity of electron is calculated using de-Broglie equation, we have

λ=hmv

Whereλ= Wavelength

m= Mass of electron

v= Velocity of electron

h= Planck's constant

Calculation:

We haveλ=450nm×109m1nm=450×109m

h=6.626×1034J.s

m=9

To determine

(b)

The velocity of electrons that form the same pattern as450nm light when passed through a double slit is1.62×103m/s . Calculate the kinetic energy of each and compare them

To determine

(c)

The velocity of electrons that form the same pattern as450nm light when passed through a double slit is1.62×103m/s . The kinetic energy of electrons is1.19×1024J , while kinetic energy of proton is4.14×1019J . Would either be easier to generate that the other?

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