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Answers
Result :-
The ratio is about 1 : 2. With higher accuracy it is 1.9862998.
If you want to know why, read on :
A specific quantity means a quantity divided by mass in physics.
The specific charge of the electron, for instance, is its charge -e divided by its mass m(e):
-e/m(e)
where e is the elementary charge.
Similarly, the specific charges of the proton (p) and the alpha particle (α) are
e/m(p)
2e/m(α)
respectively.
If you divide the first expression with the second one, you get the ratio of the specific charge of the proton and the alpha particle:
m(α)/[2×m(p)]
You can find the above particle masses in Wikipedia:
m(α) = 6.644657230×10−27 kg
m(p) = 1.672621898×10−27 kg
Thus the ratio of the specific charges is
6.644657230 / (2×1.672621898) = 1.9862998
You can say that the result is approximately 1 : 2. Note, however, that in physics research etc. you are not always allowed to round up all those significant digits to get 2. It depends on what that ratio is used for.