   Chapter 29, Problem 59PE

Chapter
Section
Textbook Problem

The velocity of a proton emerging from a Van de Graaff accelerator is 25.0% of the speed of light. (a) What is the proton's wavelength? (b) What is its kinetic energy, assuming it is nonrelativistic? (c) What was the equivalent voltage through which it was accelerated?

To determine

(a)

What is the proton's wavelength?

Explanation

Given:

Speed of electron is vproton=0.25c=7.50×107m/s

Formula used:

Using De Broglie formula,

λproton=hmprotonvproton

Calculation:

Inserting data given, we obtain

λproton=6

To determine

(b)

What is its kinetic energy, assuming it is not relativistic?

To determine

(c)

What was the equivalent voltage through which it was accelerated?

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