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The mass of a negative meson is 208 time the mass of electron. If ratio of -particle is unit, the raAtomic Structure Chemistry Question

Question

The mass of a negative meson is 208 time the mass of electron. If $e/m$ ratio of $\alpha$-particle is $x$ unit, the $e/m$ ratio of this meson will be

Answer: C

💡 Solution & Explanation

For $\alpha$-particle, $(e/m)_\alpha = \frac{2e}{4m_p} = \frac{e}{2m_p} = x$. For the meson, charge is $e$ and mass is $208m_e$. The proton mass $m_p \approx 1836 m_e$. The meson's specific charge is $\frac{e}{208m_e}$. The ratio is $\frac{e/(208m_e)}{e/(2m_p)} = \frac{2m_p}{208m_e} = \frac{2 \times 1836}{208} \approx 17.65$. Thus, it is $17.65x$. Therefore, correct answer is C.

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