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Check that the ratio $$(1/4\Pi \epsilon_0)e^2/Gm_em_p$$ is dimensionless. Find the value of this ratio. What does it signify? Given : proton mass $$m_p=1.67\times 10^{-27}kg$$, electron mass $$m_e=9.1\times 10^{-31}kg$$, electron charge $$e=1.6\times 10^{-19}C,(1/4\Pi \epsilon_0)=9.0\times 10^9Nm^2/C^2$$ and $$G=6.67\times 10^{-11}NM^2/kg^2$$.

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