   Chapter 16.3, Problem 16.7QQ

Chapter
Section
Textbook Problem

An electron initially at rest accelerates through a potential difference of 1 V, gaining kinetic energy KEe, whereas a proton, also initially at rest, accelerates through a potential difference of −1 V, gaining kinetic energy KEp. Which of the following relationships holds? (a) KEe = KEp (b) KEe < KEp (c) KEe > KEp (d) The answer can’t be determined from the given information.

To determine
The kinetic energy of proton and electron.

Explanation

The kinetic energy of the particle is given by,

KE=qΔV

• q is the charge of the particle.
• ΔV is the potential difference.

Conclusion:

The charges of electron and proton are equal and opposite. The potential are 1 V and -1 V for electron and proton respectively

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