What is the ratio of charge by mass ratio of proton and alpha particle?

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10 Questions 40 Marks 10 Mins

Concept:

• The specific charge is the ratio of charge by mass.
• An α particle is basically a Helium atom with 2 unit positive charge. Basically, it is the nucleus of a Helium atom.

It is having mass 4 times that of the proton.

Calculation:

Let the charge on the proton be p. 

Let the mass on the proton be m. 

So, the specific charge of the proton 

\(s = \frac{p}{m}\)
So the charge on proton is 2p

mass of proton is 4m

Specific charge 

\(s' = \frac{2p}{4m} = \frac{1}{2} \frac{p}{m} = \frac{s}{2}\)

\(\implies \frac{s'}{s} = \frac{1}{2}\)

So, the ratio of specific charge of alpha particle and proton is 1:2

This is ratio for proton to alpha particle will be 2:1.

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