Question

please help me out of this question​

Answer 1

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.