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(C) The specific charge is defined as the ratio of charge to mass $(q/m)$.For a proton $(p)$,the charge is $e$ and the mass is $m$. So,the specific ch

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$1:2$

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(C) The specific charge is defined as the ratio of charge to mass $(q/m)$.For a proton $(p)$,the charge is $e$ and the mass is $m$. So,the specific charge is $(q/m)_p = e/m$.For an $\alpha$-particle,the charge is $2e$ and the mass is $4m$ (since it consists of $2$ protons and $2$ neutrons).So,the specific charge is $(q/m)_{\alpha} = 2e/4m = e/2m$.The ratio of the specific charge of an $\alpha$-particle to that of a proton is:$\frac{(q/m)_{\alpha}}{(q/m)_p} = \frac{e/2m}{e/m} = \frac{1}{2} = 1:2$.

Ratio of specific charge of $\alpha$-particle to that of proton is

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