   Chapter 16, Problem 8P

Chapter
Section
Textbook Problem

(a) Find the potential difference ΔVB required to stop an electron (called a “slopping potential”) moving with an initial speed of 2.85 × 107 m/s. (b) Would a proton traveling at the same speed require a greater or lesser magnitude potential difference? Explain. (c) Find a symbolic expression for the ratio of the proton stopping potential and the electron stopping potential, ΔVp/ΔVe. The answer should be in terms of the proton mass mp and electron mass me.

(a)

To determine
The potential difference required to stop the electron.

Explanation

Given info: Initial speed of the electron is 2.85×107m/s .

Explanation:

Formula to calculate the potential difference is,

ΔV=ΔPEe

• ΔPE is the change in electric potential energy.
• e is the elementary charge.

The change in potential energy is equal to the kinetic energy. Therefore,

ΔPE=12mv2

• m is the mass of the electron.
• v is the speed of the electron.

From the above equations,

ΔV=mv22e

Substitute 1.6×1019C for e, 2.85×107m/s for v and 9

(b)

To determine
The stopping potential of proton.

(c)

To determine
The ratio of proton stopping potential and electron stopping potential.

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