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The ratio of specific charges of a proton and an alpha particle is?(A)- 2:1(B)- 1:2(C)- 1:4(D)- 1:1

Last updated date: 14th Sep 2024
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Hint: Specific charge of a particle is defined as the ratio of the charge on the particle to the mass of the particle. Both proton and alpha particles are positively charged species.

Complete step by step solution:
Let’s look at the solution of the given question
- A proton is a positively charged species found in the nucleus of the atom.
- An alpha particle is a positively charged helium ion. It has 2 protons and 2 neutrons.
Now, we will calculate the required ratio.
- Let’s suppose the specific charge of proton be ‘p’
- Therefore, the specific charge on alpha particle will be equal to ‘2p’
(This is because alpha particles have 2 protons and 2 neutrons, but the neutrons are uncharged species and have mass nearly equal to protons.)
- Hence, the ratio of specific charge of a proton to an alpha particle is given by:
\[=\dfrac{p}{2p}\]
\[=\dfrac{1}{2}\]
So, the ratio of specific charge of a proton to an alpha particle is 1:2

Hence, the answer to the given question is option (B).