Question

Using the given charge-to-mass ratios for electrons and protons, and knowing the magnitudes of their charges are equal, what is the ratio of the proton’s mass to the electron’s? (Note that since the charge-to-mass ratios are given to only three-digit accuracy, your answer may differ from the accepted ratio in the fourth digit.)

What is the ratio of the proton’s mass to the electron’s based on the given information?

A 1836:1
B. 2055:1
C. 2200:1
D. 2000:1

Answer 1

The ratio of the proton’s mass to the electron’s mass is 1836:1.

Step-by-step explanation:

The ratio of the proton’s mass to the electron’s mass can be determined using the given charge-to-mass ratios for electrons and protons. Since the charges of electrons and protons are equal in magnitude, we can set up the following equation:

Charge-to-mass ratio for proton = Charge-to-mass ratio for electron

mp / 9p = me / 9e

where mp and me are the masses of the proton and electron respectively, and 9p and 9e are the charge-to-mass ratios for the proton and electron.

Simplifying the equation, we can find the ratio:

mp / me = 9p / 9e

Given that the ratio of charge-to-mass ratios is 1836 (mp/ me = 1836/1), we can conclude that the ratio of the proton’s mass to the electron’s mass is 1836:1.