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(C) In Thomson's experiment,the deflection of a charged particle in an electric or magnetic field depends on the specific charge,which is the ratio of

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$1 : 3 : 5$

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(C) In Thomson's experiment,the deflection of a charged particle in an electric or magnetic field depends on the specific charge,which is the ratio of charge to mass,denoted as $\frac{q}{m}$.Since all three particles produce the same spot on the screen,they must experience the same deflection,which implies that their specific charge ratios must be equal.Therefore,$\frac{q_1}{m_1} = \frac{q_2}{m_2} = \frac{q_3}{m_3}$.Given the ratio of charges is $q_1 : q_2 : q_3 = 1 : 3 : 5$.For the ratios to be equal,the masses must follow the same ratio as the charges.Thus,$m_1 : m_2 : m_3 = 1 : 3 : 5$.

Three particles having their charges in the ratio of $1 : 3 : 5$ produce the same spot on the screen in Thomson's experiment. Their masses are in the ratio of

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